Details

analyze457.0ms (2.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
50%	50%	50%	0%	0%	0%	0%	5
50%	50%	50%	0%	0%	0%	0%	6
50%	50%	50%	0%	0%	0%	0%	7
50%	50%	50%	0%	0%	0%	0%	8
50%	50%	50%	0%	0%	0%	0%	9
50%	50%	50%	0%	0%	0%	0%	10
50%	50%	50%	0%	0%	0%	0%	11
50%	50%	49.9%	0%	0%	0%	0%	12

Compiler

Compiled 53 to 45 computations (15.1% saved)

sample2.4s (15%)

Results

2.4s

8256×

body

256

valid

Bogosity

preprocess60.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

976×	`fma-def_binary64`
668×	`div-sub_binary64`
343×	`unsub-neg_binary64`
342×	`times-frac_binary64`
289×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	76
1	22	72
2	42	72
3	117	48
4	364	48
5	1554	42
6	5619	42
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs

(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))

Outputs
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 2 (.f64 (+.f64 1 (/.f64 1 t)) t))) (-.f64 2 (/.f64 2 (.f64 (+.f64 1 (/.f64 1 t)) t))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 2 (.f64 (+.f64 1 (/.f64 1 t)) t))) (-.f64 2 (/.f64 2 (.f64 (+.f64 1 (/.f64 1 t)) t))))))
(/.f64 (fma.f64 (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t))))) 1) (fma.f64 (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t))))) 2))
(/.f64 (fma.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 1) (fma.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))
(/.f64 (fma.f64 (-.f64 2 (/.f64 2 (+.f64 1 t))) (-.f64 2 (/.f64 2 (+.f64 1 t))) 1) (fma.f64 (-.f64 2 (/.f64 2 (+.f64 1 t))) (-.f64 2 (/.f64 2 (+.f64 1 t))) 2))
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 -2 (+.f64 1 t)) (-.f64 4 (/.f64 2 (+.f64 1 t))) 6))
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

Compiler

Compiled 53 to 45 computations (15.1% saved)

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

976×	`fma-def_binary64`
668×	`div-sub_binary64`
343×	`unsub-neg_binary64`
342×	`times-frac_binary64`
289×	`associate-/l*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	76
1	22	72
2	42	72
3	117	48
4	364	48
5	1554	42
6	5619	42

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))

Outputs
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 2 (.f64 (+.f64 1 (/.f64 1 t)) t))) (-.f64 2 (/.f64 2 (.f64 (+.f64 1 (/.f64 1 t)) t))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 2 (.f64 (+.f64 1 (/.f64 1 t)) t))) (-.f64 2 (/.f64 2 (.f64 (+.f64 1 (/.f64 1 t)) t))))))
(/.f64 (fma.f64 (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t))))) 1) (fma.f64 (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 -2 (.f64 t (+.f64 1 (/.f64 1 t))))) 2))
(/.f64 (fma.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 1) (fma.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))
(/.f64 (fma.f64 (-.f64 2 (/.f64 2 (+.f64 1 t))) (-.f64 2 (/.f64 2 (+.f64 1 t))) 1) (fma.f64 (-.f64 2 (/.f64 2 (+.f64 1 t))) (-.f64 2 (/.f64 2 (+.f64 1 t))) 2))
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 -2 (+.f64 1 t)) (-.f64 4 (/.f64 2 (+.f64 1 t))) 6))
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

eval2.0ms (0%)

Compiler: Compiled 81 to 69 computations (14.8% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
▶	0.0b	(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

Status

Error

Program

▶

0.0b

(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))

▶

0.0b

(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

Compiler

Compiled 82 to 70 computations (14.6% saved)

localize81.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
✓	0.0b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
✓	0.1b	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
✓	1.4b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

Compiler

Compiled 159 to 131 computations (17.6% saved)

series6.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
1.0ms	t	@	inf	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
0.0ms	t	@	inf	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
0.0ms	t	@	inf	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
0.0ms	t	@	-inf	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite107.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

450×	`prod-diff_binary64`
419×	`fma-def_binary64`
344×	`log-div_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	94
1	314	94
2	4717	94

Stop Event

1×	node limit

Counts

4 → 151

Calls

Call 1

Inputs
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 2) (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (sqrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 8 (/.f64 8 (pow.f64 (.f64 t (+.f64 1 (/.f64 1 t))) 3))) (/.f64 1 (fma.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t))))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 4 (pow.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))) 2)) (/.f64 1 (+.f64 2 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t))))) 4) (-.f64 8 (/.f64 8 (pow.f64 (.f64 t (+.f64 1 (/.f64 1 t))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t))))) (-.f64 4 (pow.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8 (/.f64 8 (pow.f64 (.f64 t (+.f64 1 (/.f64 1 t))) 3))) (fma.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (pow.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))) 2)) (+.f64 2 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 8 (/.f64 8 (pow.f64 (.f64 t (+.f64 1 (/.f64 1 t))) 3)))) (neg.f64 (fma.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t))))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (pow.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))) 2))) (neg.f64 (+.f64 2 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))) 3)) (+.f64 4 (-.f64 (.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))) (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))) (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (-.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 1 t) (+.f64 1 (/.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1 (.f64 t (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1 t) (/.f64 1 (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 t) (/.f64 1 (+.f64 1 (/.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t))))) (pow.f64 (cbrt.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t))))) 2) (cbrt.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 2 t)) 2) (.f64 (cbrt.f64 (/.f64 2 t)) (/.f64 1 (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 2 t)) (hypot.f64 1 (pow.f64 t -1/2))) (/.f64 (sqrt.f64 (/.f64 2 t)) (hypot.f64 1 (pow.f64 t -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 2 t)) (.f64 (sqrt.f64 (/.f64 2 t)) (/.f64 1 (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -2 t) (/.f64 1 (+.f64 -1 (neg.f64 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1 (/.f64 1 t))) (/.f64 2 t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 t)) 2) 1) (/.f64 (cbrt.f64 (/.f64 2 t)) (+.f64 1 (/.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 2 t)) 1) (/.f64 (sqrt.f64 (/.f64 2 t)) (+.f64 1 (/.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 t))) 2)) (/.f64 (/.f64 1 t) (cbrt.f64 (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 t))) 2)) (/.f64 (/.f64 2 t) (cbrt.f64 (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 t)) 2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 t))) 2)) (cbrt.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 2 t)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 t))) 2)) (/.f64 (sqrt.f64 (/.f64 2 t)) (cbrt.f64 (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (hypot.f64 1 (pow.f64 t -1/2))) (/.f64 (/.f64 1 t) (hypot.f64 1 (pow.f64 t -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 1 (pow.f64 t -1/2))) (/.f64 (/.f64 2 t) (hypot.f64 1 (pow.f64 t -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 t)) 2) (hypot.f64 1 (pow.f64 t -1/2))) (/.f64 (cbrt.f64 (/.f64 2 t)) (hypot.f64 1 (pow.f64 t -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 2 t) (+.f64 1 (pow.f64 t -3))) (+.f64 1 (-.f64 (pow.f64 t -2) (/.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 2 t) (-.f64 1 (pow.f64 t -2))) (-.f64 1 (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 2 t)) (hypot.f64 1 (pow.f64 t -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8 (pow.f64 (.f64 t (+.f64 1 (/.f64 1 t))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 1 (/.f64 1 t)) (.f64 t 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 2 t) (+.f64 -1 (neg.f64 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 8 (pow.f64 (.f64 t (+.f64 1 (/.f64 1 t))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (.f64 t (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 2 t)) (log1p.f64 (/.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (log.f64 (/.f64 2 t)) (log1p.f64 (/.f64 1 t))) 1))))))

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

545×	`distribute-rgt-out_binary64`
473×	`fma-def_binary64`
364×	`sub-neg_binary64`
348×	`associate-l_binary64`
327×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	88	647
1	273	638
2	756	621
3	2103	606
4	5496	593

Stop Event

1×	node limit

Counts

199 → 207

Calls

Call 1

Inputs
(*.f64 2 t)
(+.f64 (.f64 2 t) (.f64 -2 (pow.f64 t 2)))
(+.f64 (.f64 2 t) (+.f64 (.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))))
(+.f64 (.f64 2 t) (+.f64 (.f64 -2 (pow.f64 t 2)) (+.f64 (.f64 -2 (pow.f64 t 4)) (.f64 2 (pow.f64 t 3)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(*.f64 4 (pow.f64 t 2))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 -16 (pow.f64 t 5)) (+.f64 (.f64 12 (pow.f64 t 4)) (.f64 4 (pow.f64 t 2)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
2
(+.f64 2 (*.f64 -2 t))
(+.f64 2 (+.f64 (.f64 -2 t) (.f64 2 (pow.f64 t 2))))
(+.f64 (.f64 -2 (pow.f64 t 3)) (+.f64 2 (+.f64 (.f64 -2 t) (*.f64 2 (pow.f64 t 2)))))
(/.f64 2 t)
(-.f64 (.f64 2 (/.f64 1 t)) (.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 4))) (.f64 2 (/.f64 1 (pow.f64 t 2)))))
(/.f64 2 t)
(-.f64 (.f64 2 (/.f64 1 t)) (.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 4))) (.f64 2 (/.f64 1 (pow.f64 t 2)))))

Outputs
(*.f64 2 t)
(+.f64 (.f64 2 t) (.f64 -2 (pow.f64 t 2)))
(fma.f64 2 t (.f64 -2 (.f64 t t)))
(fma.f64 2 t (.f64 t (.f64 t -2)))
(*.f64 t (fma.f64 t -2 2))
(+.f64 (.f64 2 t) (+.f64 (.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))))
(fma.f64 2 t (fma.f64 -2 (.f64 t t) (.f64 2 (pow.f64 t 3))))
(fma.f64 2 t (fma.f64 2 (pow.f64 t 3) (.f64 t (.f64 t -2))))
(fma.f64 2 (pow.f64 t 3) (*.f64 t (fma.f64 t -2 2)))
(.f64 t (fma.f64 t -2 (.f64 2 (fma.f64 t t 1))))
(+.f64 (.f64 2 t) (+.f64 (.f64 -2 (pow.f64 t 2)) (+.f64 (.f64 -2 (pow.f64 t 4)) (.f64 2 (pow.f64 t 3)))))
(fma.f64 2 t (fma.f64 -2 (.f64 t t) (fma.f64 -2 (pow.f64 t 4) (.f64 2 (pow.f64 t 3)))))
(fma.f64 2 t (+.f64 (.f64 2 (pow.f64 t 3)) (.f64 -2 (fma.f64 t t (pow.f64 t 4)))))
(fma.f64 -2 (fma.f64 t t (pow.f64 t 4)) (*.f64 2 (+.f64 t (pow.f64 t 3))))
(.f64 (fma.f64 t t 1) (.f64 t (fma.f64 t -2 2)))
(*.f64 (fma.f64 t -2 2) (+.f64 t (pow.f64 t 3)))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 2 (/.f64 2 t))
(+.f64 2 (/.f64 -2 t))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (.f64 2 (/.f64 1 t)))
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 t)))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -2 t)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(-.f64 (+.f64 2 (/.f64 2 (*.f64 t t))) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))))
(+.f64 (/.f64 2 (*.f64 t t)) (-.f64 2 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3)))))
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3)))))
(.f64 (+.f64 1 (/.f64 1 (.f64 t t))) (+.f64 2 (/.f64 -2 t)))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 2 (/.f64 2 t))
(+.f64 2 (/.f64 -2 t))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (.f64 2 (/.f64 1 t)))
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 t)))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -2 t)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(-.f64 (+.f64 2 (/.f64 2 (*.f64 t t))) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))))
(+.f64 (/.f64 2 (*.f64 t t)) (-.f64 2 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3)))))
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3)))))
(.f64 (+.f64 1 (/.f64 1 (.f64 t t))) (+.f64 2 (/.f64 -2 t)))
(*.f64 4 (pow.f64 t 2))
(.f64 (.f64 t t) 4)
(.f64 t (.f64 t 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
(.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) 4)))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 4) 12)))
(fma.f64 (pow.f64 t 4) 12 (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))
(.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 -16 (pow.f64 t 5)) (+.f64 (.f64 12 (pow.f64 t 4)) (.f64 4 (pow.f64 t 2)))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) 4))))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 -16 (pow.f64 t 5) (fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 4) 12))))
(fma.f64 -16 (pow.f64 t 5) (fma.f64 (pow.f64 t 4) 12 (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))))
(fma.f64 -16 (pow.f64 t 5) (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4)))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 4 (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 4 (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 t t) 1/2)
(fma.f64 t t 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -2 (pow.f64 t 3) (+.f64 (*.f64 t t) 1/2))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (+.f64 (*.f64 t t) (pow.f64 t 4))))
(+.f64 (fma.f64 t t (pow.f64 t 4)) (fma.f64 -2 (pow.f64 t 3) 1/2))
(+.f64 1/2 (fma.f64 -2 (pow.f64 t 3) (fma.f64 t t (pow.f64 t 4))))
(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (+.f64 -2 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 5/6 (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (-.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 2/9 t))))
(+.f64 5/6 (-.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 5/6 (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (-.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 2/9 t))))
(+.f64 5/6 (-.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t)))
2
(+.f64 2 (*.f64 -2 t))
(+.f64 2 (*.f64 t -2))
(fma.f64 t -2 2)
(+.f64 2 (+.f64 (.f64 -2 t) (.f64 2 (pow.f64 t 2))))
(+.f64 2 (fma.f64 -2 t (.f64 2 (.f64 t t))))
(+.f64 2 (fma.f64 2 (.f64 t t) (.f64 t -2)))
(fma.f64 2 (*.f64 t t) (fma.f64 t -2 2))
(fma.f64 t -2 (*.f64 2 (fma.f64 t t 1)))
(+.f64 (.f64 -2 (pow.f64 t 3)) (+.f64 2 (+.f64 (.f64 -2 t) (*.f64 2 (pow.f64 t 2)))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 2 (fma.f64 -2 t (.f64 2 (.f64 t t)))))
(+.f64 (fma.f64 2 (.f64 t t) (.f64 t -2)) (fma.f64 -2 (pow.f64 t 3) 2))
(+.f64 (fma.f64 t -2 2) (.f64 t (.f64 t (fma.f64 t -2 2))))
(*.f64 (fma.f64 t t 1) (fma.f64 t -2 2))
(/.f64 2 t)
(-.f64 (.f64 2 (/.f64 1 t)) (.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 4))) (.f64 2 (/.f64 1 (pow.f64 t 2)))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 (pow.f64 t 4)))))
(+.f64 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))) (+.f64 (/.f64 -2 (*.f64 t t)) (/.f64 -2 (pow.f64 t 4))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 (/.f64 -2 t) t) (/.f64 -2 (pow.f64 t 4)))))
(/.f64 2 t)
(-.f64 (.f64 2 (/.f64 1 t)) (.f64 2 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t)))
(+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (*.f64 2 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 2 t) (/.f64 (/.f64 -2 t) t)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 4))) (.f64 2 (/.f64 1 (pow.f64 t 2)))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 (pow.f64 t 4)))))
(+.f64 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))) (+.f64 (/.f64 -2 (*.f64 t t)) (/.f64 -2 (pow.f64 t 4))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 (/.f64 (/.f64 -2 t) t) (/.f64 -2 (pow.f64 t 4)))))

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 2 (+.f64 1 t)) -4)
✓	0.0b	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)
✓	0.0b	(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
✓	0.0b	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)

Compiler

Compiled 79 to 67 computations (15.2% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)
0.0ms	t	@	inf	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)
0.0ms	t	@	-inf	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)
0.0ms	t	@	-inf	(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
0.0ms	t	@	inf	(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

rewrite91.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

563×	`log-prod_binary64`
351×	`pow2_binary64`
282×	`fma-def_binary64`
244×	`expm1-udef_binary64`
244×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	92
1	290	92
2	3682	92

Stop Event

1×	node limit

Counts

4 → 135

Calls

Call 1

Inputs
(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)
(+.f64 (/.f64 2 (+.f64 1 t)) -4)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 5 (+.f64 (pow.f64 (/.f64 2 (+.f64 1 t)) 2) (/.f64 -8 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 (/.f64 2 (+.f64 1 t)) 2) (/.f64 -8 (+.f64 1 t))) 5)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (pow.f64 (/.f64 2 (+.f64 1 t)) 2) (/.f64 -8 (+.f64 1 t))) 1) 5)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)) 2) (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)) (sqrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 2 (+.f64 1 t)) 2) (/.f64 -8 (+.f64 1 t))) 3) 125) (+.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 2 (+.f64 1 t)) 2) (/.f64 -8 (+.f64 1 t))) 2) (-.f64 25 (.f64 (+.f64 (pow.f64 (/.f64 2 (+.f64 1 t)) 2) (/.f64 -8 (+.f64 1 t))) 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 2 (+.f64 1 t)) 2) (/.f64 -8 (+.f64 1 t))) 2) 25) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) -5))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 2 (+.f64 1 t)) 2) (+.f64 (/.f64 2 (+.f64 1 t)) 4)) (/.f64 16 (+.f64 (/.f64 2 (+.f64 1 t)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 2 (+.f64 1 t)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -64 (/.f64 8 (pow.f64 (+.f64 1 t) 3))) (/.f64 1 (+.f64 (pow.f64 (/.f64 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(2) ((x exp.f64 (.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 (+.f64 1 t)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 (+.f64 1 t)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (+.f64 1 t)) 1 -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 t))) (cbrt.f64 (pow.f64 (/.f64 2 (+.f64 1 t)) 2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 2 (+.f64 1 t)) 2)) (cbrt.f64 (/.f64 2 (+.f64 1 t))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 (+.f64 1 t))) (sqrt.f64 (/.f64 2 (+.f64 1 t))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 (+.f64 (neg.f64 t) -1)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 t)) 2 -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (+.f64 1 (pow.f64 t 3))) (fma.f64 t (-.f64 t 1) 1) -4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (-.f64 1 (*.f64 t t))) (-.f64 1 t) -4)))))

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

711×	`fma-neg_binary64`
639×	`times-frac_binary64`
444×	`cancel-sign-sub-inv_binary64`
352×	`fma-def_binary64`
331×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	79	579
1	231	565
2	596	558
3	1718	554
4	4132	549

Stop Event

1×	node limit

Counts

183 → 191

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2))))
(+.f64 1 (+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
2
(+.f64 2 (*.f64 4 (pow.f64 t 2)))
(+.f64 2 (+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2))))
(+.f64 2 (+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
-2
(-.f64 (*.f64 -2 t) 2)
(-.f64 (+.f64 (.f64 -2 t) (.f64 2 (pow.f64 t 2))) 2)
(-.f64 (+.f64 (.f64 -2 (pow.f64 t 3)) (+.f64 (.f64 -2 t) (*.f64 2 (pow.f64 t 2)))) 2)
-4
(-.f64 (*.f64 2 (/.f64 1 t)) 4)
(-.f64 (.f64 2 (/.f64 1 t)) (+.f64 4 (.f64 2 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (+.f64 4 (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
-4
(-.f64 (*.f64 2 (/.f64 1 t)) 4)
(-.f64 (.f64 2 (/.f64 1 t)) (+.f64 4 (.f64 2 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (+.f64 4 (*.f64 2 (/.f64 1 (pow.f64 t 2)))))

Outputs
1
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (.f64 4 (.f64 t t)))
(fma.f64 4 (*.f64 t t) 1)
(+.f64 1 (+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2))))
(+.f64 1 (fma.f64 -8 (pow.f64 t 3) (.f64 4 (.f64 t t))))
(+.f64 (fma.f64 4 (.f64 t t) 1) (.f64 -8 (pow.f64 t 3)))
(fma.f64 4 (*.f64 t t) (fma.f64 -8 (pow.f64 t 3) 1))
(+.f64 1 (+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
(+.f64 1 (fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4)))))
(+.f64 1 (fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (.f64 4 (.f64 t t)))))
(+.f64 (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))) (fma.f64 12 (pow.f64 t 4) 1))
(+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 -8 (.f64 t 12))))))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (+.f64 5 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))
(+.f64 (-.f64 5 (/.f64 8 t)) (/.f64 (/.f64 12 t) t))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 5 (-.f64 (/.f64 -16 (pow.f64 t 3)) (-.f64 (/.f64 8 t) (/.f64 (/.f64 12 t) t))))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (+.f64 5 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))
(+.f64 (-.f64 5 (/.f64 8 t)) (/.f64 (/.f64 12 t) t))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 5 (-.f64 (/.f64 -16 (pow.f64 t 3)) (-.f64 (/.f64 8 t) (/.f64 (/.f64 12 t) t))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 t t) 1/2)
(fma.f64 t t 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -2 (pow.f64 t 3) (+.f64 (*.f64 t t) 1/2))
(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 (pow.f64 t 3) -2 1/2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 (+.f64 1/2 (pow.f64 t 4)) (*.f64 t t)))
(+.f64 (fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2)) (pow.f64 t 4))
(+.f64 (pow.f64 t 4) (fma.f64 t t (fma.f64 (pow.f64 t 3) -2 1/2)))
(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (+.f64 t -2)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 5/6 (-.f64 (/.f64 (/.f64 1/27 t) t) (/.f64 2/9 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 5/6 (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (-.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 2/9 t))))
(+.f64 5/6 (-.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 4/81 (pow.f64 t 3)) (-.f64 (/.f64 (/.f64 1/27 t) t) (/.f64 2/9 t))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 5/6 (-.f64 (/.f64 (/.f64 1/27 t) t) (/.f64 2/9 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 5/6 (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (-.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 2/9 t))))
(+.f64 5/6 (-.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 4/81 (pow.f64 t 3)) (-.f64 (/.f64 (/.f64 1/27 t) t) (/.f64 2/9 t))))
2
(+.f64 2 (*.f64 4 (pow.f64 t 2)))
(+.f64 2 (.f64 4 (.f64 t t)))
(fma.f64 4 (*.f64 t t) 2)
(+.f64 2 (+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2))))
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (.f64 4 (.f64 t t))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (fma.f64 4 (.f64 t t) 2))
(fma.f64 t (*.f64 4 t) (fma.f64 -8 (pow.f64 t 3) 2))
(fma.f64 4 (*.f64 t t) (fma.f64 -8 (pow.f64 t 3) 2))
(+.f64 2 (+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4)))))
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (.f64 4 (.f64 t t)))))
(+.f64 (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))) (fma.f64 12 (pow.f64 t 4) 2))
(+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 -8 (.f64 t 12))))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(-.f64 6 (-.f64 (/.f64 8 t) (/.f64 (/.f64 12 t) t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (/.f64 12 (*.f64 t t)) 6) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 (+.f64 (/.f64 12 (*.f64 t t)) 6) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (+.f64 6 (/.f64 -16 (pow.f64 t 3))) (/.f64 -8 t)))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (+.f64 6 (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(-.f64 6 (-.f64 (/.f64 8 t) (/.f64 (/.f64 12 t) t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (/.f64 12 (*.f64 t t)) 6) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 (+.f64 (/.f64 12 (*.f64 t t)) 6) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (+.f64 6 (/.f64 -16 (pow.f64 t 3))) (/.f64 -8 t)))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (+.f64 6 (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))))
-2
(-.f64 (*.f64 -2 t) 2)
(fma.f64 -2 t -2)
(fma.f64 t -2 -2)
(-.f64 (+.f64 (.f64 -2 t) (.f64 2 (pow.f64 t 2))) 2)
(+.f64 (fma.f64 -2 t (.f64 2 (.f64 t t))) -2)
(fma.f64 t -2 (fma.f64 2 (*.f64 t t) -2))
(fma.f64 t -2 (fma.f64 t (*.f64 t 2) -2))
(fma.f64 t (+.f64 -2 (*.f64 t 2)) -2)
(-.f64 (+.f64 (.f64 -2 (pow.f64 t 3)) (+.f64 (.f64 -2 t) (*.f64 2 (pow.f64 t 2)))) 2)
(+.f64 (fma.f64 -2 (pow.f64 t 3) (fma.f64 -2 t (.f64 2 (.f64 t t)))) -2)
(fma.f64 (pow.f64 t 3) -2 (fma.f64 t -2 (fma.f64 2 (*.f64 t t) -2)))
(fma.f64 -2 (+.f64 t (pow.f64 t 3)) (fma.f64 t (*.f64 t 2) -2))
(fma.f64 t (+.f64 -2 (.f64 t (+.f64 2 (.f64 t -2)))) -2)
-4
(-.f64 (*.f64 2 (/.f64 1 t)) 4)
(+.f64 (/.f64 2 t) -4)
(-.f64 (.f64 2 (/.f64 1 t)) (+.f64 4 (.f64 2 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (/.f64 2 t) (+.f64 4 (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (-.f64 -4 (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (+.f64 -4 (/.f64 -2 (*.f64 t t))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (+.f64 4 (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))) (+.f64 4 (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 4 (/.f64 2 (*.f64 t t)))))
(+.f64 (/.f64 2 t) (+.f64 (+.f64 (/.f64 2 (pow.f64 t 3)) -4) (/.f64 -2 (*.f64 t t))))
(-.f64 (/.f64 2 t) (+.f64 4 (.f64 (/.f64 1 (.f64 t t)) (-.f64 2 (/.f64 2 t)))))
(+.f64 (/.f64 2 t) (fma.f64 (/.f64 1 (*.f64 t t)) (+.f64 -2 (/.f64 2 t)) -4))
-4
(-.f64 (*.f64 2 (/.f64 1 t)) 4)
(+.f64 (/.f64 2 t) -4)
(-.f64 (.f64 2 (/.f64 1 t)) (+.f64 4 (.f64 2 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (/.f64 2 t) (+.f64 4 (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (-.f64 -4 (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (+.f64 -4 (/.f64 -2 (*.f64 t t))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (.f64 2 (/.f64 1 t))) (+.f64 4 (*.f64 2 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))) (+.f64 4 (/.f64 2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (-.f64 (/.f64 2 (pow.f64 t 3)) (+.f64 4 (/.f64 2 (*.f64 t t)))))
(+.f64 (/.f64 2 t) (+.f64 (+.f64 (/.f64 2 (pow.f64 t 3)) -4) (/.f64 -2 (*.f64 t t))))
(-.f64 (/.f64 2 t) (+.f64 4 (.f64 (/.f64 1 (.f64 t t)) (-.f64 2 (/.f64 2 t)))))
(+.f64 (/.f64 2 t) (fma.f64 (/.f64 1 (*.f64 t t)) (+.f64 -2 (/.f64 2 t)) -4))

eval2.3s (14.3%)

Compiler: Compiled 40260 to 34280 computations (14.9% saved)

prune143.0ms (0.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	818	12	830
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	818	14	832

Error

Counts

832 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.4b	(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
	24.7b	5/6
	34.2b	(fma.f64 t t 1/2)
▶	33.9b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (*.f64 t 12) -8)) 4))))
▶	28.7b	(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
✓	0.0b	(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
▶	28.5b	(+.f64 5/6 (/.f64 -2/9 t))
	28.7b	(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
	33.7b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 t (*.f64 t 4))))
✓	0.0b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
▶	3.0b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 2 t)))))
	28.6b	1/2
	28.4b	(+.f64 5/6 (-.f64 (/.f64 (/.f64 1/27 t) t) (/.f64 2/9 t)))
	34.1b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))

Compiler

Compiled 592 to 490 computations (17.2% saved)

localize97.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 2 t))))
✓	0.1b	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 2 t)))
	0.1b	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
	1.4b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

Compiler

Compiled 169 to 139 computations (17.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 2 t)))
0.0ms	t	@	inf	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 2 t)))
0.0ms	t	@	-inf	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 2 t)))
0.0ms	t	@	inf	(+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 2 t))))
0.0ms	t	@	-inf	(+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 2 t))))

rewrite86.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`log-prod_binary64`
426×	`prod-diff_binary64`
364×	`fma-def_binary64`
305×	`log-div_binary64`
262×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	53
1	291	51
2	4358	51

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

Inputs
(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 2 t)))
(+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 2 t))))

Outputs

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t))) 1 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 -2 t)))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 -2 t))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 -2 t))) 2)) (cbrt.f64 (*.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 -2 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) 2) (*.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (/.f64 -2 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 t))) 2) (*.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 t))) (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 -2 t)))) (sqrt.f64 (*.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) (+.f64 2 (/.f64 -2 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) (*.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (/.f64 -2 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 t))) (*.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 t))) (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 t))) 2)) (cbrt.f64 (+.f64 2 (/.f64 -2 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) (sqrt.f64 (+.f64 2 (/.f64 -2 t)))) (sqrt.f64 (+.f64 2 (/.f64 -2 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 2 (/.f64 -2 t)) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) 2)) (cbrt.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 2 (/.f64 -2 t)) (sqrt.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))))) (sqrt.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))) 2)))))

simplify47.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

838×	`fma-neg_binary64`
544×	`associate-l_binary64`
507×	`cancel-sign-sub-inv_binary64`
476×	`fma-def_binary64`
426×	`times-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	278
1	114	270
2	295	268
3	842	258
4	2529	248

Stop Event

1×	node limit

Counts

108 → 112

Calls

Call 1

Inputs
-4
(-.f64 (*.f64 8 t) 4)
(-.f64 (+.f64 (.f64 8 t) (.f64 -8 (pow.f64 t 2))) 4)
(-.f64 (+.f64 (.f64 8 (pow.f64 t 3)) (+.f64 (.f64 8 t) (*.f64 -8 (pow.f64 t 2)))) 4)
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (.f64 8 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (.f64 8 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
-2
(-.f64 (*.f64 8 t) 2)
(-.f64 (+.f64 (.f64 8 t) (.f64 -8 (pow.f64 t 2))) 2)
(-.f64 (+.f64 (.f64 8 (pow.f64 t 3)) (+.f64 (.f64 8 t) (*.f64 -8 (pow.f64 t 2)))) 2)
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 8 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 8 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))

Outputs
-4
(-.f64 (*.f64 8 t) 4)
(fma.f64 8 t -4)
(-.f64 (+.f64 (.f64 8 t) (.f64 -8 (pow.f64 t 2))) 4)
(+.f64 (fma.f64 8 t (.f64 -8 (.f64 t t))) -4)
(fma.f64 8 t (fma.f64 -8 (*.f64 t t) -4))
(fma.f64 8 t (fma.f64 t (*.f64 t -8) -4))
(fma.f64 t (fma.f64 t -8 8) -4)
(-.f64 (+.f64 (.f64 8 (pow.f64 t 3)) (+.f64 (.f64 8 t) (*.f64 -8 (pow.f64 t 2)))) 4)
(+.f64 (fma.f64 8 (pow.f64 t 3) (fma.f64 8 t (.f64 -8 (.f64 t t)))) -4)
(fma.f64 8 (pow.f64 t 3) (fma.f64 8 t (fma.f64 -8 (*.f64 t t) -4)))
(fma.f64 8 (+.f64 t (pow.f64 t 3)) (fma.f64 t (*.f64 t -8) -4))
(fma.f64 8 t (fma.f64 t (*.f64 t (fma.f64 8 t -8)) -4))
(fma.f64 t (+.f64 8 (*.f64 t (fma.f64 8 t -8))) -4)
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (.f64 8 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (/.f64 8 (*.f64 t t))) (/.f64 8 t))
(+.f64 (/.f64 8 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 8 (*.f64 t t)))
(+.f64 4 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 4 (*.f64 (/.f64 1 t) (-.f64 (/.f64 8 t) 8)))
(-.f64 (+.f64 4 (.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(+.f64 4 (-.f64 (/.f64 8 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 8 (pow.f64 t 3)))))
(+.f64 (/.f64 8 (*.f64 t t)) (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 -8 (pow.f64 t 3))))
(+.f64 (+.f64 4 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t))) (/.f64 -8 (pow.f64 t 3)))
(fma.f64 (/.f64 1 (*.f64 t t)) (-.f64 8 (/.f64 8 t)) (+.f64 4 (/.f64 -8 t)))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (.f64 8 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (/.f64 8 (*.f64 t t))) (/.f64 8 t))
(+.f64 (/.f64 8 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 8 (*.f64 t t)))
(+.f64 4 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 4 (*.f64 (/.f64 1 t) (-.f64 (/.f64 8 t) 8)))
(-.f64 (+.f64 4 (.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(+.f64 4 (-.f64 (/.f64 8 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 8 (pow.f64 t 3)))))
(+.f64 (/.f64 8 (*.f64 t t)) (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 -8 (pow.f64 t 3))))
(+.f64 (+.f64 4 (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -8 t))) (/.f64 -8 (pow.f64 t 3)))
(fma.f64 (/.f64 1 (*.f64 t t)) (-.f64 8 (/.f64 8 t)) (+.f64 4 (/.f64 -8 t)))
-2
(-.f64 (*.f64 8 t) 2)
(fma.f64 8 t -2)
(-.f64 (+.f64 (.f64 8 t) (.f64 -8 (pow.f64 t 2))) 2)
(+.f64 (fma.f64 8 t (.f64 -8 (.f64 t t))) -2)
(fma.f64 8 t (fma.f64 -8 (*.f64 t t) -2))
(fma.f64 t (*.f64 t -8) (fma.f64 8 t -2))
(fma.f64 t (fma.f64 t -8 8) -2)
(-.f64 (+.f64 (.f64 8 (pow.f64 t 3)) (+.f64 (.f64 8 t) (*.f64 -8 (pow.f64 t 2)))) 2)
(+.f64 (fma.f64 8 (pow.f64 t 3) (fma.f64 8 t (.f64 -8 (.f64 t t)))) -2)
(fma.f64 8 (pow.f64 t 3) (fma.f64 8 t (fma.f64 -8 (*.f64 t t) -2)))
(fma.f64 8 (+.f64 t (pow.f64 t 3)) (fma.f64 t (*.f64 t -8) -2))
(fma.f64 t (*.f64 t (fma.f64 8 t -8)) (fma.f64 8 t -2))
(fma.f64 t (+.f64 8 (*.f64 t (fma.f64 8 t -8))) -2)
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 6 (.f64 8 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (/.f64 8 (*.f64 t t)) 6) (/.f64 8 t))
(+.f64 (/.f64 8 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(-.f64 (+.f64 6 (.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(+.f64 6 (-.f64 (/.f64 8 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 8 (pow.f64 t 3)))))
(+.f64 (/.f64 8 (*.f64 t t)) (-.f64 6 (+.f64 (/.f64 8 t) (/.f64 8 (pow.f64 t 3)))))
(+.f64 (+.f64 (/.f64 8 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))) (/.f64 -8 (pow.f64 t 3)))
(+.f64 (/.f64 8 (*.f64 t t)) (+.f64 6 (+.f64 (/.f64 -8 t) (/.f64 -8 (pow.f64 t 3)))))
(+.f64 6 (fma.f64 (/.f64 1 (*.f64 t t)) (-.f64 8 (/.f64 8 t)) (/.f64 -8 t)))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 6 (.f64 8 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (/.f64 8 (*.f64 t t)) 6) (/.f64 8 t))
(+.f64 (/.f64 8 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(-.f64 (+.f64 6 (.f64 8 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(+.f64 6 (-.f64 (/.f64 8 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 8 (pow.f64 t 3)))))
(+.f64 (/.f64 8 (*.f64 t t)) (-.f64 6 (+.f64 (/.f64 8 t) (/.f64 8 (pow.f64 t 3)))))
(+.f64 (+.f64 (/.f64 8 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))) (/.f64 -8 (pow.f64 t 3)))
(+.f64 (/.f64 8 (*.f64 t t)) (+.f64 6 (+.f64 (/.f64 -8 t) (/.f64 -8 (pow.f64 t 3)))))
(+.f64 6 (fma.f64 (/.f64 1 (*.f64 t t)) (-.f64 8 (/.f64 8 t)) (/.f64 -8 t)))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 5/6 (/.f64 -2/9 t))
✓	0.4b	(/.f64 -2/9 t)

Compiler

Compiled 12 to 9 computations (25% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(/.f64 -2/9 t)
0.0ms	t	@	0	(+.f64 5/6 (/.f64 -2/9 t))
0.0ms	t	@	inf	(/.f64 -2/9 t)
0.0ms	t	@	-inf	(/.f64 -2/9 t)
0.0ms	t	@	inf	(+.f64 5/6 (/.f64 -2/9 t))

rewrite53.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`pow1_binary64`
673×	`add-log-exp_binary64`
673×	`log1p-expm1-u_binary64`
673×	`expm1-log1p-u_binary64`
663×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	139	11
2	1759	11

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(/.f64 -2/9 t)
(+.f64 5/6 (/.f64 -2/9 t))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/9 (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2/9 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2/9 t)) (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (cbrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/9 (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) -2/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2/9 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -2/9 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2/9 t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t -9/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -2/9 t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2/9 t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2/9 t)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 25/36 (-.f64 5/6 (/.f64 -2/9 t))) (/.f64 (pow.f64 (/.f64 -2/9 t) 2) (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2) (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3)) (/.f64 1 (+.f64 25/36 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2)) (/.f64 1 (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 25/36 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t))) (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 5/6 (/.f64 -2/9 t)) (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3)) (+.f64 25/36 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3)) (+.f64 (pow.f64 (/.f64 -2/9 t) 2) (-.f64 25/36 (/.f64 -5/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2)) (-.f64 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3))) (neg.f64 (+.f64 25/36 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2))) (neg.f64 (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) 25/36) (-.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (cbrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) 5/6)))))

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`fma-def_binary64`
11×	`sub-neg_binary64`
6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	69
1	20	69
2	31	69
3	47	69
4	62	69
5	80	69
6	98	69
7	113	69
8	120	69

Stop Event

1×

saturated

Counts

63 → 55

Calls

Call 1

Inputs
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))

Outputs
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
✓	0.0b	(-.f64 5/6 (/.f64 2/9 t))
✓	0.4b	(/.f64 2/9 t)
✓	0.7b	(/.f64 1/27 (*.f64 t t))

Compiler

Compiled 32 to 20 computations (37.5% saved)

series4.0ms (0%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(/.f64 1/27 (*.f64 t t))
0.0ms	t	@	0	(/.f64 2/9 t)
0.0ms	t	@	inf	(/.f64 1/27 (*.f64 t t))
0.0ms	t	@	0	(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
0.0ms	t	@	-inf	(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))

rewrite112.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`log-prod_binary64`
375×	`fma-def_binary64`
338×	`pow-prod-down_binary64`
306×	`pow2_binary64`
238×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	242	31
2	3543	31

Stop Event

1×	node limit

Counts

4 → 175

Calls

Call 1

Inputs
(/.f64 1/27 (*.f64 t t))
(/.f64 2/9 t)
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/27 (.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/27 (.f64 t t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/27 (pow.f64 t -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/27 (.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1/27 (.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/27 (.f64 t t))) (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))) (cbrt.f64 (/.f64 1/27 (.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 1/27) t) (/.f64 (sqrt.f64 1/27) t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/27 (/.f64 1 (.f64 t (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 t -2) 1/27)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/27 t) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/27 (.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/729 (pow.f64 t 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/27 (.f64 t t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/27) t) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/19683 (pow.f64 t 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 t t) 27) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (.f64 t t) 27) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/729 (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/27 (.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/19683 (pow.f64 t 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/27 (.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/27 (.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/27 (.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 1/27 (.f64 t t))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2/9 t))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2/9 t)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2/9 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2/9 (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2/9 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 2/9 t)) (cbrt.f64 (pow.f64 (/.f64 t 2/9) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 t 2/9) -2)) (cbrt.f64 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 2/9 t)) (sqrt.f64 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2/9 (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 t) 2/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2/9 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 t 2/9) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2/9 t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2/9 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 t 2/9) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t 2/9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 t 2/9) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 t 2/9) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 t 2/9) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2/9 t)) 1))))))
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(-.f64 2/9 (/.f64 1/27 t)) t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/27 (pow.f64 t -2) (-.f64 5/6 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/27 (.f64 t t)) 1 (-.f64 5/6 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 5/6 (/.f64 2/9 t)) 1 (/.f64 1/27 (.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/27 (.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/27 (.f64 t t))) (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))) (-.f64 5/6 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))) (cbrt.f64 (/.f64 1/27 (.f64 t t))) (-.f64 5/6 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 5/6 (/.f64 2/9 t))) (pow.f64 (cbrt.f64 (-.f64 5/6 (/.f64 2/9 t))) 2) (/.f64 1/27 (.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 5/6 (/.f64 2/9 t))) 2) (cbrt.f64 (-.f64 5/6 (/.f64 2/9 t))) (/.f64 1/27 (.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 1/27) t) (/.f64 (sqrt.f64 1/27) t) (-.f64 5/6 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 5/6 (/.f64 2/9 t))) (sqrt.f64 (-.f64 5/6 (/.f64 2/9 t))) (/.f64 1/27 (.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/27 (/.f64 1 (.f64 t (neg.f64 t))) (-.f64 5/6 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 125/216 (pow.f64 (/.f64 t 2/9) -3)) (/.f64 1 (fma.f64 (/.f64 2/9 t) (+.f64 (/.f64 2/9 t) 5/6) 25/36)) (/.f64 1/27 (.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 t -2) 1/27 (-.f64 5/6 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 25/36 (pow.f64 (/.f64 t 2/9) -2)) (/.f64 1 (+.f64 (/.f64 2/9 t) 5/6)) (/.f64 1/27 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/27 t) (/.f64 1 t) (-.f64 5/6 (/.f64 2/9 t)))))))

simplify112.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

750×	`distribute-neg-frac_binary64`
461×	`fma-neg_binary64`
450×	`div-sub_binary64`
434×	`unswap-sqr_binary64`
391×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	21	285
1	47	285
2	79	285
3	142	285
4	292	285
5	821	285
6	3575	273
7	6909	273

Stop Event

1×	node limit

Counts

211 → 185

Calls

Call 1

Inputs
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(/.f64 1/27 (pow.f64 t 2))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))

Outputs
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
(-.f64 (+.f64 5/6 (.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (/.f64 -2/9 t))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
(-.f64 (+.f64 5/6 (.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (/.f64 -2/9 t))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (/.f64 -2/9 t))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (/.f64 -2/9 t))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (/.f64 -2/9 t))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (/.f64 -2/9 t))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)

localize124.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
✓	0.0b	(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
	0.1b	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
	1.4b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

Compiler

Compiled 133 to 109 computations (18% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))

1.0ms

(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))

1.0ms

-inf

(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))

rewrite124.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

564×	`prod-diff_binary64`
349×	`expm1-udef_binary64`
349×	`log1p-udef_binary64`
207×	`add-sqr-sqrt_binary64`
199×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	411	31
2	5954	31

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -8 t) 5) (/.f64 1 (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 5)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 5)) (/.f64 1 (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))) (sqrt.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -8 t) 5)) (*.f64 (sqrt.f64 (+.f64 (/.f64 -8 t) 5)) (/.f64 1 (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -5 (neg.f64 (/.f64 -8 t))) (/.f64 1 (+.f64 -2 (neg.f64 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))) (+.f64 (/.f64 -8 t) 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 5)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 5)) (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -8 t) 5)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 -8 t) 5)) (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))) 2)) (/.f64 (+.f64 (/.f64 -8 t) 5) (cbrt.f64 (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 5)) 2) (pow.f64 (cbrt.f64 (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -8 t) 5)) (pow.f64 (cbrt.f64 (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 -8 t) 5)) (cbrt.f64 (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))) (/.f64 (+.f64 (/.f64 -8 t) 5) (sqrt.f64 (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 5)) 2) (sqrt.f64 (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))) (/.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 5)) (sqrt.f64 (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 8 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 6))) (+.f64 4 (-.f64 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 4) (*.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (-.f64 4 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 4))) (-.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) (+.f64 (/.f64 -8 t) 5)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 -2 (neg.f64 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 -8 t) 5) 3) (pow.f64 (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))) 1))))))

simplify141.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

536×	`unswap-sqr_binary64`
501×	`distribute-neg-frac_binary64`
432×	`associate-/r/_binary64`
399×	`fma-def_binary64`
371×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	142
1	101	140
2	225	138
3	522	135
4	1388	135
5	4478	135

Stop Event

1×	node limit

Counts

47 → 49

Calls

Call 1

Inputs
(/.f64 -4 t)
(-.f64 5/2 (*.f64 4 (/.f64 1 t)))
(-.f64 (+.f64 5/2 (.f64 8 t)) (.f64 4 (/.f64 1 t)))
(-.f64 (+.f64 5/2 (+.f64 (.f64 -21 (pow.f64 t 2)) (.f64 8 t))) (*.f64 4 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (+.f64 (.f64 53/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t))))
(-.f64 (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 (.f64 53/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (+.f64 (.f64 53/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t))))
(-.f64 (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 (.f64 53/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))))

Outputs
(/.f64 -4 t)
(-.f64 5/2 (*.f64 4 (/.f64 1 t)))
(-.f64 5/2 (/.f64 4 t))
(+.f64 5/2 (/.f64 -4 t))
(-.f64 (+.f64 5/2 (.f64 8 t)) (.f64 4 (/.f64 1 t)))
(-.f64 (+.f64 5/2 (*.f64 t 8)) (/.f64 4 t))
(+.f64 (fma.f64 t 8 5/2) (/.f64 -4 t))
(+.f64 5/2 (fma.f64 t 8 (/.f64 -4 t)))
(-.f64 (+.f64 5/2 (+.f64 (.f64 -21 (pow.f64 t 2)) (.f64 8 t))) (*.f64 4 (/.f64 1 t)))
(+.f64 5/2 (-.f64 (fma.f64 -21 (.f64 t t) (.f64 t 8)) (/.f64 4 t)))
(+.f64 5/2 (+.f64 (fma.f64 t 8 (.f64 t (.f64 t -21))) (/.f64 -4 t)))
(+.f64 (fma.f64 t 8 5/2) (fma.f64 t (*.f64 t -21) (/.f64 -4 t)))
(+.f64 (fma.f64 t (fma.f64 t -21 8) 5/2) (/.f64 -4 t))
(+.f64 5/2 (fma.f64 t (fma.f64 t -21 8) (/.f64 -4 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (+.f64 (.f64 53/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t))))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 53/27 (*.f64 t t))))
(+.f64 (-.f64 5/6 (/.f64 53/27 (*.f64 t t))) (/.f64 -2/9 t))
(+.f64 (/.f64 -2/9 t) (+.f64 5/6 (/.f64 -53/27 (*.f64 t t))))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 -53/27 (*.f64 t t))))
(-.f64 (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 (.f64 53/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))))
(+.f64 5/6 (-.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 (/.f64 2/9 t) (/.f64 53/27 (*.f64 t t)))))
(+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 (-.f64 5/6 (/.f64 53/27 (*.f64 t t))) (/.f64 -2/9 t)))
(+.f64 (+.f64 (/.f64 -2/9 t) (+.f64 5/6 (/.f64 -53/27 (*.f64 t t)))) (/.f64 4/81 (pow.f64 t 3)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 -53/27 (*.f64 t t))))
(+.f64 (/.f64 -53/27 (*.f64 t t)) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 4/81 (pow.f64 t 3))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (+.f64 (.f64 53/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t))))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 53/27 (*.f64 t t))))
(+.f64 (-.f64 5/6 (/.f64 53/27 (*.f64 t t))) (/.f64 -2/9 t))
(+.f64 (/.f64 -2/9 t) (+.f64 5/6 (/.f64 -53/27 (*.f64 t t))))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 -53/27 (*.f64 t t))))
(-.f64 (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 (.f64 53/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))))
(+.f64 5/6 (-.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 (/.f64 2/9 t) (/.f64 53/27 (*.f64 t t)))))
(+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 (-.f64 5/6 (/.f64 53/27 (*.f64 t t))) (/.f64 -2/9 t)))
(+.f64 (+.f64 (/.f64 -2/9 t) (+.f64 5/6 (/.f64 -53/27 (*.f64 t t)))) (/.f64 4/81 (pow.f64 t 3)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 -53/27 (*.f64 t t))))
(+.f64 (/.f64 -53/27 (*.f64 t t)) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 4/81 (pow.f64 t 3))))

localize183.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 t (+.f64 (.f64 t 12) -8))
✓	0.1b	(.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))
✓	0.2b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (*.f64 t 12) -8)) 4))))
	1.4b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

Compiler

Compiled 182 to 139 computations (23.6% saved)

series10.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	t	@	inf	(.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))
2.0ms	t	@	0	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (*.f64 t 12) -8)) 4))))
1.0ms	t	@	inf	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (*.f64 t 12) -8)) 4))))
1.0ms	t	@	-inf	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (*.f64 t 12) -8)) 4))))
1.0ms	t	@	inf	(.f64 t (+.f64 (.f64 t 12) -8))

rewrite124.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

449×	`log1p-udef_binary64`
269×	`add-sqr-sqrt_binary64`
260×	`pow1_binary64`
259×	`*-un-lft-identity_binary64`
253×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	65
1	530	63
2	7745	63

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

Inputs

(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 (*.f64 t (+.f64 (*.f64 t 12) -8)) 4))))

(*.f64 (*.f64 t t) (+.f64 (*.f64 t (+.f64 (*.f64 t 12) -8)) 4))

(*.f64 t (+.f64 (*.f64 t 12) -8))

Outputs

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simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

555×	`times-frac_binary64`
506×	`unswap-sqr_binary64`
439×	`fma-def_binary64`
410×	`associate-/l/_binary64`
332×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	512
1	143	506
2	345	490
3	938	444
4	3401	444

Stop Event

1×	node limit

Counts

119 → 114

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
(/.f64 5/12 (pow.f64 t 4))
(-.f64 (.f64 5/12 (/.f64 1 (pow.f64 t 4))) (.f64 7/18 (/.f64 1 (pow.f64 t 5))))
(-.f64 (+.f64 (.f64 5/12 (/.f64 1 (pow.f64 t 4))) (.f64 65/108 (/.f64 1 (pow.f64 t 6)))) (*.f64 7/18 (/.f64 1 (pow.f64 t 5))))
(-.f64 (+.f64 (.f64 5/12 (/.f64 1 (pow.f64 t 4))) (.f64 65/108 (/.f64 1 (pow.f64 t 6)))) (+.f64 (.f64 65/81 (/.f64 1 (pow.f64 t 7))) (.f64 7/18 (/.f64 1 (pow.f64 t 5)))))
(/.f64 5/12 (pow.f64 t 4))
(-.f64 (.f64 5/12 (/.f64 1 (pow.f64 t 4))) (.f64 7/18 (/.f64 1 (pow.f64 t 5))))
(-.f64 (+.f64 (.f64 5/12 (/.f64 1 (pow.f64 t 4))) (.f64 65/108 (/.f64 1 (pow.f64 t 6)))) (*.f64 7/18 (/.f64 1 (pow.f64 t 5))))
(-.f64 (+.f64 (.f64 5/12 (/.f64 1 (pow.f64 t 4))) (.f64 65/108 (/.f64 1 (pow.f64 t 6)))) (+.f64 (.f64 65/81 (/.f64 1 (pow.f64 t 7))) (.f64 7/18 (/.f64 1 (pow.f64 t 5)))))
(*.f64 4 (pow.f64 t 2))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(*.f64 12 (pow.f64 t 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 12 (pow.f64 t 4)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(*.f64 12 (pow.f64 t 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 12 (pow.f64 t 4)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(*.f64 -8 t)
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(*.f64 12 (pow.f64 t 2))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(*.f64 12 (pow.f64 t 2))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))

Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (*.f64 t t)))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 3) 1/2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (+.f64 (*.f64 t t) (pow.f64 t 4))))
(+.f64 (fma.f64 t t (pow.f64 t 4)) (fma.f64 -2 (pow.f64 t 3) 1/2))
(+.f64 1/2 (fma.f64 -2 (pow.f64 t 3) (fma.f64 t t (pow.f64 t 4))))
(fma.f64 (*.f64 t t) (fma.f64 t -2 (fma.f64 t t 1)) 1/2)
(/.f64 5/12 (pow.f64 t 4))
(-.f64 (.f64 5/12 (/.f64 1 (pow.f64 t 4))) (.f64 7/18 (/.f64 1 (pow.f64 t 5))))
(-.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 7/18 (pow.f64 t 5)))
(+.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 -7/18 (pow.f64 t 5)))
(-.f64 (+.f64 (.f64 5/12 (/.f64 1 (pow.f64 t 4))) (.f64 65/108 (/.f64 1 (pow.f64 t 6)))) (*.f64 7/18 (/.f64 1 (pow.f64 t 5))))
(+.f64 (/.f64 5/12 (pow.f64 t 4)) (-.f64 (/.f64 65/108 (pow.f64 t 6)) (/.f64 7/18 (pow.f64 t 5))))
(+.f64 (+.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 -7/18 (pow.f64 t 5))) (/.f64 65/108 (pow.f64 t 6)))
(+.f64 (/.f64 5/12 (pow.f64 t 4)) (+.f64 (/.f64 65/108 (pow.f64 t 6)) (/.f64 -7/18 (pow.f64 t 5))))
(-.f64 (+.f64 (.f64 5/12 (/.f64 1 (pow.f64 t 4))) (.f64 65/108 (/.f64 1 (pow.f64 t 6)))) (+.f64 (.f64 65/81 (/.f64 1 (pow.f64 t 7))) (.f64 7/18 (/.f64 1 (pow.f64 t 5)))))
(+.f64 (/.f64 5/12 (pow.f64 t 4)) (-.f64 (/.f64 65/108 (pow.f64 t 6)) (+.f64 (/.f64 7/18 (pow.f64 t 5)) (/.f64 65/81 (pow.f64 t 7)))))
(+.f64 (+.f64 (/.f64 5/12 (pow.f64 t 4)) (-.f64 (/.f64 65/108 (pow.f64 t 6)) (/.f64 65/81 (pow.f64 t 7)))) (/.f64 -7/18 (pow.f64 t 5)))
(+.f64 (/.f64 5/12 (pow.f64 t 4)) (+.f64 (/.f64 65/108 (pow.f64 t 6)) (+.f64 (/.f64 -7/18 (pow.f64 t 5)) (/.f64 -65/81 (pow.f64 t 7)))))
(+.f64 (+.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 65/108 (pow.f64 t 6))) (+.f64 (/.f64 -7/18 (pow.f64 t 5)) (/.f64 -65/81 (pow.f64 t 7))))
(/.f64 5/12 (pow.f64 t 4))
(-.f64 (.f64 5/12 (/.f64 1 (pow.f64 t 4))) (.f64 7/18 (/.f64 1 (pow.f64 t 5))))
(-.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 7/18 (pow.f64 t 5)))
(+.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 -7/18 (pow.f64 t 5)))
(-.f64 (+.f64 (.f64 5/12 (/.f64 1 (pow.f64 t 4))) (.f64 65/108 (/.f64 1 (pow.f64 t 6)))) (*.f64 7/18 (/.f64 1 (pow.f64 t 5))))
(+.f64 (/.f64 5/12 (pow.f64 t 4)) (-.f64 (/.f64 65/108 (pow.f64 t 6)) (/.f64 7/18 (pow.f64 t 5))))
(+.f64 (+.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 -7/18 (pow.f64 t 5))) (/.f64 65/108 (pow.f64 t 6)))
(+.f64 (/.f64 5/12 (pow.f64 t 4)) (+.f64 (/.f64 65/108 (pow.f64 t 6)) (/.f64 -7/18 (pow.f64 t 5))))
(-.f64 (+.f64 (.f64 5/12 (/.f64 1 (pow.f64 t 4))) (.f64 65/108 (/.f64 1 (pow.f64 t 6)))) (+.f64 (.f64 65/81 (/.f64 1 (pow.f64 t 7))) (.f64 7/18 (/.f64 1 (pow.f64 t 5)))))
(+.f64 (/.f64 5/12 (pow.f64 t 4)) (-.f64 (/.f64 65/108 (pow.f64 t 6)) (+.f64 (/.f64 7/18 (pow.f64 t 5)) (/.f64 65/81 (pow.f64 t 7)))))
(+.f64 (+.f64 (/.f64 5/12 (pow.f64 t 4)) (-.f64 (/.f64 65/108 (pow.f64 t 6)) (/.f64 65/81 (pow.f64 t 7)))) (/.f64 -7/18 (pow.f64 t 5)))
(+.f64 (/.f64 5/12 (pow.f64 t 4)) (+.f64 (/.f64 65/108 (pow.f64 t 6)) (+.f64 (/.f64 -7/18 (pow.f64 t 5)) (/.f64 -65/81 (pow.f64 t 7)))))
(+.f64 (+.f64 (/.f64 5/12 (pow.f64 t 4)) (/.f64 65/108 (pow.f64 t 6))) (+.f64 (/.f64 -7/18 (pow.f64 t 5)) (/.f64 -65/81 (pow.f64 t 7))))
(*.f64 4 (pow.f64 t 2))
(.f64 (.f64 t t) 4)
(.f64 t (.f64 t 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(.f64 (.f64 t t) (fma.f64 t -8 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 (pow.f64 t 4) 12)))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 4) 12)))
(fma.f64 (pow.f64 t 4) 12 (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 (pow.f64 t 4) 12)))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 4) 12)))
(fma.f64 (pow.f64 t 4) 12 (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8))))
(*.f64 12 (pow.f64 t 4))
(*.f64 (pow.f64 t 4) 12)
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 12 (pow.f64 t 4)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 (pow.f64 t 4) 12))
(fma.f64 (pow.f64 t 4) 12 (*.f64 (pow.f64 t 3) -8))
(*.f64 (pow.f64 t 3) (fma.f64 t 12 -8))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 (pow.f64 t 4) 12)))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 4) 12)))
(fma.f64 (pow.f64 t 4) 12 (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 (pow.f64 t 4) 12)))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 4) 12)))
(fma.f64 (pow.f64 t 4) 12 (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8))))
(*.f64 12 (pow.f64 t 4))
(*.f64 (pow.f64 t 4) 12)
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 12 (pow.f64 t 4)))
(fma.f64 -8 (pow.f64 t 3) (*.f64 (pow.f64 t 4) 12))
(fma.f64 (pow.f64 t 4) 12 (*.f64 (pow.f64 t 3) -8))
(*.f64 (pow.f64 t 3) (fma.f64 t 12 -8))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 (pow.f64 t 4) 12)))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 4) 12)))
(fma.f64 (pow.f64 t 4) 12 (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 (pow.f64 t 4) 12)))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 4) 12)))
(fma.f64 (pow.f64 t 4) 12 (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 12 -8))))
(*.f64 -8 t)
(*.f64 t -8)
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (.f64 (.f64 t t) 12))
(fma.f64 t -8 (.f64 t (.f64 t 12)))
(.f64 t (+.f64 -8 (.f64 t 12)))
(*.f64 t (fma.f64 t 12 -8))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (.f64 (.f64 t t) 12))
(fma.f64 t -8 (.f64 t (.f64 t 12)))
(.f64 t (+.f64 -8 (.f64 t 12)))
(*.f64 t (fma.f64 t 12 -8))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (.f64 (.f64 t t) 12))
(fma.f64 t -8 (.f64 t (.f64 t 12)))
(.f64 t (+.f64 -8 (.f64 t 12)))
(*.f64 t (fma.f64 t 12 -8))
(*.f64 12 (pow.f64 t 2))
(.f64 (.f64 t t) 12)
(.f64 t (.f64 t 12))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (.f64 (.f64 t t) 12))
(fma.f64 t -8 (.f64 t (.f64 t 12)))
(.f64 t (+.f64 -8 (.f64 t 12)))
(*.f64 t (fma.f64 t 12 -8))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (.f64 (.f64 t t) 12))
(fma.f64 t -8 (.f64 t (.f64 t 12)))
(.f64 t (+.f64 -8 (.f64 t 12)))
(*.f64 t (fma.f64 t 12 -8))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (.f64 (.f64 t t) 12))
(fma.f64 t -8 (.f64 t (.f64 t 12)))
(.f64 t (+.f64 -8 (.f64 t 12)))
(*.f64 t (fma.f64 t 12 -8))
(*.f64 12 (pow.f64 t 2))
(.f64 (.f64 t t) 12)
(.f64 t (.f64 t 12))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (.f64 (.f64 t t) 12))
(fma.f64 t -8 (.f64 t (.f64 t 12)))
(.f64 t (+.f64 -8 (.f64 t 12)))
(*.f64 t (fma.f64 t 12 -8))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (.f64 (.f64 t t) 12))
(fma.f64 t -8 (.f64 t (.f64 t 12)))
(.f64 t (+.f64 -8 (.f64 t 12)))
(*.f64 t (fma.f64 t 12 -8))
(+.f64 (.f64 -8 t) (.f64 12 (pow.f64 t 2)))
(fma.f64 -8 t (.f64 (.f64 t t) 12))
(fma.f64 t -8 (.f64 t (.f64 t 12)))
(.f64 t (+.f64 -8 (.f64 t 12)))
(*.f64 t (fma.f64 t 12 -8))

eval1.1s (6.7%)

Compiler: Compiled 42598 to 35265 computations (17.2% saved)

prune176.0ms (1.1%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	1108	8	1116
Fresh	5	2	7
Picked	0	1	1
Done	2	4	6
Total	1115	15	1130

Error

Counts

1130 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.5b	(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
▶	28.7b	(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
✓	28.4b	(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
	24.7b	5/6
▶	34.1b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))))
	28.4b	(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
✓	0.0b	(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
✓	28.5b	(+.f64 5/6 (/.f64 -2/9 t))
	34.2b	(fma.f64 t t 1/2)
▶	24.1b	(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 2 (+.f64 4 (/.f64 -8 t))))
	28.6b	1/2
	34.2b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))))
✓	0.0b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
✓	33.9b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (*.f64 t 12) -8)) 4))))
▶	29.0b	(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)

Compiler

Compiled 440 to 366 computations (16.8% saved)

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (+.f64 4 (/.f64 -8 t)))
✓	0.0b	(+.f64 1 (+.f64 4 (/.f64 -8 t)))

Compiler

Compiled 43 to 36 computations (16.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(+.f64 1 (+.f64 4 (/.f64 -8 t)))
0.0ms	t	@	inf	(+.f64 1 (+.f64 4 (/.f64 -8 t)))
0.0ms	t	@	-inf	(+.f64 1 (+.f64 4 (/.f64 -8 t)))
0.0ms	t	@	0	(+.f64 2 (+.f64 4 (/.f64 -8 t)))
0.0ms	t	@	inf	(+.f64 2 (+.f64 4 (/.f64 -8 t)))

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`unpow-prod-down_binary64`
412×	`log-prod_binary64`
320×	`prod-diff_binary64`
306×	`fma-def_binary64`
276×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	233	14
2	3015	14

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

Inputs
(+.f64 1 (+.f64 4 (/.f64 -8 t)))
(+.f64 2 (+.f64 4 (/.f64 -8 t)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -8 t) 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 -3 (/.f64 -8 t))) (/.f64 (pow.f64 (+.f64 4 (/.f64 -8 t)) 2) (-.f64 -3 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -8 t) 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -8 t) 5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 5)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 5)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 5)) 2) (cbrt.f64 (+.f64 (/.f64 -8 t) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -8 t) 5)) (sqrt.f64 (+.f64 (/.f64 -8 t) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 4 (/.f64 -8 t)) 3)) (/.f64 1 (fma.f64 (+.f64 4 (/.f64 -8 t)) (-.f64 (+.f64 4 (/.f64 -8 t)) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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1/3) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 -8 t) 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 5))) 2) 3) (cbrt.f64 (+.f64 (/.f64 -8 t) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 5))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 5))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 4 (/.f64 -8 t)) (-.f64 (+.f64 4 (/.f64 -8 t)) 1) 1) (+.f64 1 (pow.f64 (+.f64 4 (/.f64 -8 t)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 -3 (/.f64 -8 t)) (-.f64 1 (pow.f64 (+.f64 4 (/.f64 -8 t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 4 (/.f64 -8 t)) 3)) (fma.f64 (+.f64 4 (/.f64 -8 t)) (-.f64 (+.f64 4 (/.f64 -8 t)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 4 (/.f64 -8 t)) 3)) (+.f64 (pow.f64 (+.f64 4 (/.f64 -8 t)) 2) (-.f64 -3 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 4 (/.f64 -8 t)) 2)) (-.f64 -3 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 4 (/.f64 -8 t)) 3))) (neg.f64 (fma.f64 (+.f64 4 (/.f64 -8 t)) (-.f64 (+.f64 4 (/.f64 -8 t)) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 4 (/.f64 -8 t)) 2))) (neg.f64 (-.f64 -3 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 125 (/.f64 -512 (pow.f64 t 3))) (+.f64 25 (-.f64 (/.f64 64 (*.f64 t t)) (*.f64 5 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 4 (/.f64 -8 t)) 2) 1) (-.f64 (+.f64 4 (/.f64 -8 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 25 (/.f64 64 (*.f64 t t))) (-.f64 5 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -8 t) 5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -8 t) 5) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -8 t) 5) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 5)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -8 t) 5)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (+.f64 4 (/.f64 -8 t)) (-.f64 (+.f64 4 (/.f64 -8 t)) 1) 1) (+.f64 1 (pow.f64 (+.f64 4 (/.f64 -8 t)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -3 (/.f64 -8 t)) (-.f64 1 (pow.f64 (+.f64 4 (/.f64 -8 t)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -8 t) 5) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -8 t) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -8 t) 5))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -8 t) 5) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -8 t) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -8 t) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -8 t) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -8 t) 5)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -8 t) 5)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 4 (/.f64 -8 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -8 (/.f64 1 t) 5)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -8 t) 1 5)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 4 (/.f64 -8 t)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 8 (/.f64 1 (neg.f64 t)) 5)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -8 t)) (cbrt.f64 (/.f64 64 (*.f64 t t))) 5)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 64 (*.f64 t t))) (cbrt.f64 (/.f64 -8 t)) 5)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 4 (/.f64 -8 t))) (pow.f64 (cbrt.f64 (+.f64 4 (/.f64 -8 t))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 4 (/.f64 -8 t))) 2) (cbrt.f64 (+.f64 4 (/.f64 -8 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -8 t)) (sqrt.f64 (/.f64 -8 t)) 5)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 4 (/.f64 -8 t))) (sqrt.f64 (+.f64 4 (/.f64 -8 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 64 (/.f64 -512 (pow.f64 t 3))) (/.f64 1 (fma.f64 (/.f64 -8 t) (-.f64 (/.f64 -8 t) 4) 16)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) -8 5)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 16 (/.f64 64 (*.f64 t t))) (/.f64 1 (-.f64 4 (/.f64 -8 t))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -8 t) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (-.f64 -2 (/.f64 -8 t))) (/.f64 (pow.f64 (+.f64 4 (/.f64 -8 t)) 2) (-.f64 -2 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -8 t) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -8 t) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 6)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 6)) 2) (cbrt.f64 (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -8 t) 6)) (sqrt.f64 (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 8 (pow.f64 (+.f64 4 (/.f64 -8 t)) 3)) (/.f64 1 (fma.f64 (+.f64 4 (/.f64 -8 t)) (-.f64 (+.f64 4 (/.f64 -8 t)) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 8 (pow.f64 (+.f64 4 (/.f64 -8 t)) 3)) (pow.f64 (/.f64 1 (fma.f64 (+.f64 4 (/.f64 -8 t)) (-.f64 (+.f64 4 (/.f64 -8 t)) 2) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (pow.f64 (+.f64 4 (/.f64 -8 t)) 2)) (/.f64 1 (-.f64 -2 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (pow.f64 (+.f64 4 (/.f64 -8 t)) 2)) (pow.f64 (/.f64 1 (-.f64 -2 (/.f64 -8 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 (/.f64 -8 t) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 -8 t) 6) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 -8 t) 6) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 -8 t) 6) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 6)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 -8 t) 6) 2) (sqrt.f64 (+.f64 (/.f64 -8 t) 6))) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 6))) 2) 3) (cbrt.f64 (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 6))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 4 (/.f64 -8 t)) (-.f64 (+.f64 4 (/.f64 -8 t)) 2) 4) (+.f64 8 (pow.f64 (+.f64 4 (/.f64 -8 t)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 -2 (/.f64 -8 t)) (-.f64 4 (pow.f64 (+.f64 4 (/.f64 -8 t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (+.f64 4 (/.f64 -8 t)) 3)) (fma.f64 (+.f64 4 (/.f64 -8 t)) (-.f64 (+.f64 4 (/.f64 -8 t)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (+.f64 4 (/.f64 -8 t)) 3)) (+.f64 (pow.f64 (+.f64 4 (/.f64 -8 t)) 2) (-.f64 4 (fma.f64 (/.f64 -8 t) 2 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (pow.f64 (+.f64 4 (/.f64 -8 t)) 2)) (-.f64 -2 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8 (pow.f64 (+.f64 4 (/.f64 -8 t)) 3))) (neg.f64 (fma.f64 (+.f64 4 (/.f64 -8 t)) (-.f64 (+.f64 4 (/.f64 -8 t)) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (pow.f64 (+.f64 4 (/.f64 -8 t)) 2))) (neg.f64 (-.f64 -2 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (/.f64 -512 (pow.f64 t 3))) (+.f64 36 (-.f64 (/.f64 64 (*.f64 t t)) (*.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 4 (/.f64 -8 t)) 2) 4) (-.f64 (+.f64 4 (/.f64 -8 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 36 (/.f64 64 (*.f64 t t))) (-.f64 6 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -8 t) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -8 t) 6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -8 t) 6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -8 t) 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (+.f64 4 (/.f64 -8 t)) (-.f64 (+.f64 4 (/.f64 -8 t)) 2) 4) (+.f64 8 (pow.f64 (+.f64 4 (/.f64 -8 t)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -2 (/.f64 -8 t)) (-.f64 4 (pow.f64 (+.f64 4 (/.f64 -8 t)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -8 t) 6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -8 t) 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -8 t) 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -8 t) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 4 (/.f64 -8 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -8 (/.f64 1 t) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -8 t) 1 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 4 (/.f64 -8 t)) 1 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 8 (/.f64 1 (neg.f64 t)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -8 t)) (cbrt.f64 (/.f64 64 (*.f64 t t))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 64 (*.f64 t t))) (cbrt.f64 (/.f64 -8 t)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 4 (/.f64 -8 t))) (pow.f64 (cbrt.f64 (+.f64 4 (/.f64 -8 t))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 4 (/.f64 -8 t))) 2) (cbrt.f64 (+.f64 4 (/.f64 -8 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -8 t)) (sqrt.f64 (/.f64 -8 t)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 4 (/.f64 -8 t))) (sqrt.f64 (+.f64 4 (/.f64 -8 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 64 (/.f64 -512 (pow.f64 t 3))) (/.f64 1 (fma.f64 (/.f64 -8 t) (-.f64 (/.f64 -8 t) 4) 16)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) -8 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 16 (/.f64 64 (*.f64 t t))) (/.f64 1 (-.f64 4 (/.f64 -8 t))) 2)))))

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`fma-def_binary64`
16×	`sub-neg_binary64`
8×	`+-commutative_binary64`
6×	`associate-+l-_binary64`
6×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	138
1	24	138
2	37	138
3	61	138
4	84	138
5	108	138
6	134	138
7	156	138
8	166	138

Stop Event

1×

saturated

Counts

138 → 121

Calls

Call 1

Inputs
(/.f64 -8 t)
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (*.f64 8 (/.f64 1 t)))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (*.f64 8 (/.f64 1 t)))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(/.f64 -8 t)
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (*.f64 8 (/.f64 1 t)))

Outputs
(/.f64 -8 t)
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(/.f64 -8 t)
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
	0.4b	(/.f64 -2/9 t)
✓	4.4b	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)

Compiler

Compiled 29 to 24 computations (17.2% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)
0.0ms	t	@	inf	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)
0.0ms	t	@	-inf	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)
0.0ms	t	@	0	(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
0.0ms	t	@	-inf	(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`unpow-prod-down_binary64`
411×	`fma-def_binary64`
379×	`prod-diff_binary64`
365×	`log-prod_binary64`
243×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	216	11
2	3083	11

Stop Event

1×	node limit

Counts

2 → 164

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 -2/9 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 -2/9 t) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2/9 t) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 -2/9 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -2/9 t) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2/9 t))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2/9 t)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/9 (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2/9 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2/9 t)) (cbrt.f64 (/.f64 4/81 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (cbrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/9 (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/9 (pow.f64 (/.f64 1 (neg.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -2/9 t)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -2/9 t)))) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) -2/9)))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 (/.f64 1 (neg.f64 t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -2/9 t)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 -8/729 (pow.f64 t 3))) (/.f64 1 (fma.f64 (/.f64 -2/9 t) (+.f64 (/.f64 -2/9 t) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) -2/9 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 -2/9 t)))) (/.f64 1 (+.f64 (/.f64 -2/9 t) 2)) 0)))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -2/9 t) 5/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 25/36 (-.f64 5/6 (/.f64 -2/9 t))) (/.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2) (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3))) (/.f64 1 (fma.f64 (/.f64 -2/9 t) (-.f64 (/.f64 -2/9 t) 5/6) 25/36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3))) (pow.f64 (/.f64 1 (fma.f64 (/.f64 -2/9 t) (-.f64 (/.f64 -2/9 t) 5/6) 25/36)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 25/36 (/.f64 4/81 (*.f64 t t))) (/.f64 1 (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 25/36 (/.f64 4/81 (*.f64 t t))) (pow.f64 (/.f64 1 (-.f64 5/6 (/.f64 -2/9 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2) (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6))) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6))) 2) 3) (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 -2/9 t) (-.f64 (/.f64 -2/9 t) 5/6) 25/36) (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 5/6 (/.f64 -2/9 t)) (-.f64 25/36 (/.f64 4/81 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3))) (fma.f64 (/.f64 -2/9 t) (-.f64 (/.f64 -2/9 t) 5/6) 25/36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3))) (+.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 25/36 (*.f64 (/.f64 -2/9 t) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 25/36 (/.f64 4/81 (*.f64 t t))) (-.f64 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3)))) (neg.f64 (fma.f64 (/.f64 -2/9 t) (-.f64 (/.f64 -2/9 t) 5/6) 25/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 25/36 (/.f64 4/81 (*.f64 t t)))) (neg.f64 (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 11/6 (/.f64 -2/9 t)) 3) 1) (+.f64 (pow.f64 (+.f64 11/6 (/.f64 -2/9 t)) 2) (+.f64 1 (*.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 11/6 (/.f64 -2/9 t)) 2) 1) (+.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4/81 (*.f64 t t)) 25/36) (-.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 -2/9 t) (-.f64 (/.f64 -2/9 t) 5/6) 25/36) (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 5/6 (/.f64 -2/9 t)) (-.f64 25/36 (/.f64 4/81 (*.f64 t t)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -2/9 t) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 11/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 -2/9 t)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 11/6 (/.f64 -2/9 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2/9 t) 1 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 -2/9 t)) 1 -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2/9 t)) (cbrt.f64 (/.f64 4/81 (*.f64 t t))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (cbrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 2) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 2) (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 1) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) 1) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 (/.f64 1 (neg.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -2/9 t)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) 2))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 -8/729 (pow.f64 t 3))) (/.f64 1 (fma.f64 (/.f64 -2/9 t) (+.f64 (/.f64 -2/9 t) -1) 1)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) -2/9 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 -2/9 t)))) (/.f64 1 (+.f64 (/.f64 -2/9 t) 2)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 4/81 (*.f64 t t))) (/.f64 1 (-.f64 1 (/.f64 -2/9 t))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) 2) (cbrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) (sqrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 -2/9 t)))) 5/6)))))

simplify31.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`fma-def_binary64`
11×	`sub-neg_binary64`
6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	117
1	20	117
2	31	117
3	47	117
4	62	117
5	80	117
6	98	117
7	113	117
8	120	117

Stop Event

1×

saturated

Counts

188 → 167

Calls

Call 1

Inputs
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))

Outputs
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 -2/9 t) 5/6)
	0.4b	(/.f64 -2/9 t)
✓	0.5b	(+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))
✓	0.5b	(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)

Compiler

Compiled 29 to 24 computations (17.2% saved)

series10.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	t	@	0	(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
1.0ms	t	@	inf	(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
0.0ms	t	@	0	(+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))
0.0ms	t	@	-inf	(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
0.0ms	t	@	0	(+.f64 (/.f64 -2/9 t) 5/6)

rewrite163.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

570×	`unpow-prod-down_binary64`
487×	`prod-diff_binary64`
368×	`log-prod_binary64`
368×	`fma-def_binary64`
244×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	216	21
2	3014	21

Stop Event

1×	node limit

Counts

3 → 275

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))
(+.f64 (/.f64 -2/9 t) 5/6)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 -2/9 t) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 5/6 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -2/9 t) 5/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -2/9 t) 11/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (/.f64 -2/9 t) 11/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2) (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 2) (+.f64 1 (+.f64 (/.f64 -2/9 t) 11/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 3) -1) (pow.f64 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t) 11/6) 2) -1)) (neg.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 11/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3)))) (neg.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 25/36 (/.f64 -5/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) -25/36)) (neg.f64 (+.f64 (/.f64 -2/9 t) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 2) (+.f64 (/.f64 -2/9 t) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 2)) (-.f64 1 (+.f64 (/.f64 -2/9 t) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 25/36 (/.f64 4/81 (*.f64 t t))) (-.f64 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 2) (+.f64 1 (+.f64 (/.f64 -2/9 t) 11/6))) (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 11/6)) (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 25/36 (/.f64 -5/27 t))) (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 -2/9 t) -5/6) (+.f64 (/.f64 4/81 (*.f64 t t)) -25/36)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -2/9 t) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (sqrt.f64 (*.f64 (+.f64 (/.f64 -2/9 t) 5/6) (+.f64 (/.f64 -2/9 t) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 -2/9 t) 5/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 -2/9 t) 11/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 -2/9 t) -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 -2/9 t)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2/9 t) 1 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 -2/9 t) 11/6) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) 2) (cbrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2/9 t)) (cbrt.f64 (/.f64 4/81 (*.f64 t t))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (cbrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2) (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) (sqrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) (*.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 (/.f64 1 (neg.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 2) (+.f64 1 (+.f64 (/.f64 -2/9 t) 11/6)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3))) (/.f64 1 (+.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 25/36 (/.f64 -5/27 t)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3)) (/.f64 1 (fma.f64 (+.f64 (/.f64 -2/9 t) 5/6) (+.f64 (/.f64 -2/9 t) -1/6) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) -2/9 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 2) -1) (/.f64 1 (+.f64 1 (+.f64 (/.f64 -2/9 t) 11/6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) -25/36) (/.f64 1 (+.f64 (/.f64 -2/9 t) -5/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2)) (/.f64 1 (-.f64 1/6 (/.f64 -2/9 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 2) (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) -1/6)) 2) (cbrt.f64 (+.f64 (/.f64 -2/9 t) -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) -1/6)) (sqrt.f64 (+.f64 (/.f64 -2/9 t) -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) 1) (-.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 1) (-.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 1) 1)))))

simplify43.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

24×	`fma-def_binary64`
16×	`sub-neg_binary64`
8×	`+-commutative_binary64`
6×	`associate-+l-_binary64`
6×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	207
1	24	207
2	37	207
3	61	207
4	84	207
5	108	207
6	134	207
7	156	207
8	166	207

Stop Event

1×

saturated

Counts

311 → 189

Calls

Call 1

Inputs
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(/.f64 -2/9 t)
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
11/6
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
11/6
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))

Outputs
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(/.f64 -2/9 t)
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
11/6
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
11/6
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))

localize80.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
✓	0.1b	(.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))
✓	0.3b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))))
	1.4b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

Compiler

Compiled 153 to 117 computations (23.5% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	t	@	inf	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))))
1.0ms	t	@	0	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))))
0.0ms	t	@	-inf	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))))
0.0ms	t	@	-inf	(.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))
0.0ms	t	@	inf	(.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))

rewrite101.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

892×	`prod-diff_binary64`
229×	`add-sqr-sqrt_binary64`
222×	`pow1_binary64`
221×	`*-un-lft-identity_binary64`
215×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	49
1	452	47
2	6580	47

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs

(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 (*.f64 t -8) 4))))

(*.f64 (*.f64 t t) (+.f64 (*.f64 t -8) 4))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))) 2) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))) (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) 2) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) (*.f64 (hypot.f64 1 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) (sqrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) (/.f64 (hypot.f64 1 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) (sqrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))) (/.f64 1 (neg.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) 1) (/.f64 (hypot.f64 1 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) 2)) (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) (cbrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) 2)) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) 2)) (/.f64 (hypot.f64 1 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) (cbrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) (sqrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))) 2) (sqrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))) (sqrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) (+.f64 8 (pow.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4))) 3))) (+.f64 4 (*.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4))) (-.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) (-.f64 4 (pow.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4))) 2))) (-.f64 2 (*.f64 t (*.f64 t (fma.f64 t -8 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))) (sqrt.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) (neg.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) 3) (pow.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) (log.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)) (log.f64 (fma.f64 t (*.f64 t (fma.f64 t -8 4)) 2))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 (*.f64 t t) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 t t) 4) (*.f64 -8 (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -8 (pow.f64 t 3)) 1) (*.f64 (*.f64 (*.f64 t t) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -8 (pow.f64 t 3)) 3) (pow.f64 (*.f64 (*.f64 t t) 4) 3)) (+.f64 (*.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 -8 (pow.f64 t 3))) (-.f64 (*.f64 (*.f64 (*.f64 t t) 4) (*.f64 (*.f64 t t) 4)) (*.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 (*.f64 t t) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 -8 (pow.f64 t 3))) (*.f64 (*.f64 (*.f64 t t) 4) (*.f64 (*.f64 t t) 4))) (-.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 (*.f64 t t) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 64 (*.f64 -512 (pow.f64 t 3))) (*.f64 t t)) (+.f64 (pow.f64 (*.f64 t -8) 2) (-.f64 16 (*.f64 t -32))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 t -8) 2) -16) (*.f64 t t)) (fma.f64 t -8 -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t t) (+.f64 64 (*.f64 -512 (pow.f64 t 3)))) (+.f64 (pow.f64 (*.f64 t -8) 2) (-.f64 16 (*.f64 t -32))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t t) (+.f64 (pow.f64 (*.f64 t -8) 2) -16)) (fma.f64 t -8 -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (sqrt.f64 (fma.f64 t -8 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 t) t) (fma.f64 t -8 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t (*.f64 t (fma.f64 t -8 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t t) (*.f64 t -8) (*.f64 (*.f64 t t) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t -8) (*.f64 t t) (*.f64 (*.f64 t t) 4))))))

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

845×	`times-frac_binary64`
492×	`unswap-sqr_binary64`
451×	`associate-*l/_binary64`
345×	`fma-def_binary64`
332×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	354
1	117	350
2	308	339
3	857	321
4	3241	321

Stop Event

1×	node limit

Counts

83 → 79

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(+.f64 (.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (.f64 4 (pow.f64 t 4)) (pow.f64 t 2))))
(/.f64 -5/8 (pow.f64 t 3))
(-.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (.f64 5/8 (/.f64 1 (pow.f64 t 3))))
(-.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (+.f64 (.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (.f64 81/64 (/.f64 1 (pow.f64 t 6)))) (+.f64 (.f64 37/32 (/.f64 1 (pow.f64 t 5))) (.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(/.f64 -5/8 (pow.f64 t 3))
(-.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (.f64 5/8 (/.f64 1 (pow.f64 t 3))))
(-.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (+.f64 (.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (.f64 81/64 (/.f64 1 (pow.f64 t 6)))) (+.f64 (.f64 37/32 (/.f64 1 (pow.f64 t 5))) (.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(*.f64 4 (pow.f64 t 2))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(*.f64 -8 (pow.f64 t 3))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(*.f64 -8 (pow.f64 t 3))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))

Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (*.f64 t t)))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2))
(fma.f64 t (fma.f64 (*.f64 t t) -2 t) 1/2)
(+.f64 (.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (.f64 4 (pow.f64 t 4)) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (fma.f64 4 (pow.f64 t 4) (*.f64 t t))))
(+.f64 (fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2)) (*.f64 4 (pow.f64 t 4)))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t (fma.f64 4 (pow.f64 t 4) 1/2)))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 3) (fma.f64 4 (pow.f64 t 4) 1/2)))
(/.f64 -5/8 (pow.f64 t 3))
(-.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (.f64 5/8 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 5/8 (pow.f64 t 3)))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 -5/8 (pow.f64 t 3)))
(-.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (+.f64 (.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 -5/8 (pow.f64 t 3)) (/.f64 -37/32 (pow.f64 t 5))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (-.f64 (/.f64 -37/32 (pow.f64 t 5)) (/.f64 5/8 (pow.f64 t 3))))
(-.f64 (+.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (.f64 81/64 (/.f64 1 (pow.f64 t 6)))) (+.f64 (.f64 37/32 (/.f64 1 (pow.f64 t 5))) (.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 81/64 (pow.f64 t 6))) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (-.f64 (/.f64 81/64 (pow.f64 t 6)) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5)))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 81/64 (pow.f64 t 6)) (+.f64 (/.f64 -5/8 (pow.f64 t 3)) (/.f64 -37/32 (pow.f64 t 5)))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 -37/32 (pow.f64 t 5)) (+.f64 (/.f64 81/64 (pow.f64 t 6)) (/.f64 -5/8 (pow.f64 t 3)))))
(+.f64 (+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 -5/8 (pow.f64 t 3))) (+.f64 (/.f64 81/64 (pow.f64 t 6)) (/.f64 -37/32 (pow.f64 t 5))))
(/.f64 -5/8 (pow.f64 t 3))
(-.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (.f64 5/8 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 5/8 (pow.f64 t 3)))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 -5/8 (pow.f64 t 3)))
(-.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (+.f64 (.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 -5/8 (pow.f64 t 3)) (/.f64 -37/32 (pow.f64 t 5))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (-.f64 (/.f64 -37/32 (pow.f64 t 5)) (/.f64 5/8 (pow.f64 t 3))))
(-.f64 (+.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (.f64 81/64 (/.f64 1 (pow.f64 t 6)))) (+.f64 (.f64 37/32 (/.f64 1 (pow.f64 t 5))) (.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 81/64 (pow.f64 t 6))) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (-.f64 (/.f64 81/64 (pow.f64 t 6)) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5)))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 81/64 (pow.f64 t 6)) (+.f64 (/.f64 -5/8 (pow.f64 t 3)) (/.f64 -37/32 (pow.f64 t 5)))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 -37/32 (pow.f64 t 5)) (+.f64 (/.f64 81/64 (pow.f64 t 6)) (/.f64 -5/8 (pow.f64 t 3)))))
(+.f64 (+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 -5/8 (pow.f64 t 3))) (+.f64 (/.f64 81/64 (pow.f64 t 6)) (/.f64 -37/32 (pow.f64 t 5))))
(*.f64 4 (pow.f64 t 2))
(.f64 (.f64 t t) 4)
(.f64 t (.f64 t 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(.f64 (.f64 t t) (fma.f64 t -8 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(.f64 (.f64 t t) (fma.f64 t -8 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(.f64 (.f64 t t) (fma.f64 t -8 4))
(*.f64 -8 (pow.f64 t 3))
(*.f64 (pow.f64 t 3) -8)
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(.f64 (.f64 t t) (fma.f64 t -8 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(.f64 (.f64 t t) (fma.f64 t -8 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(.f64 (.f64 t t) (fma.f64 t -8 4))
(*.f64 -8 (pow.f64 t 3))
(*.f64 (pow.f64 t 3) -8)
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(.f64 (.f64 t t) (fma.f64 t -8 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(.f64 (.f64 t t) (fma.f64 t -8 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(.f64 (.f64 t t) (fma.f64 t -8 4))

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 2/9 (/.f64 1 t))
✓	0.4b	(*.f64 1/27 (/.f64 1 (pow.f64 t 2)))
✓	0.7b	(/.f64 1 (pow.f64 t 2))
✓	8.5b	(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3)))))

Compiler

Compiled 96 to 81 computations (15.6% saved)

series4.0ms (0%)

Counts

4 → 30

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
0.0ms	t	@	-inf	(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
0.0ms	t	@	inf	(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
0.0ms	t	@	0	(/.f64 1 (pow.f64 t 2))
0.0ms	t	@	inf	(/.f64 1 (pow.f64 t 2))

rewrite194.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

765×	`log-prod_binary64`
442×	`fma-def_binary64`
311×	`expm1-udef_binary64`
311×	`log1p-udef_binary64`
263×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	32
1	435	30
2	5177	30

Stop Event

1×	node limit

Counts

4 → 152

Calls

Call 1

Inputs
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
(/.f64 1 (pow.f64 t 2))
(*.f64 1/27 (/.f64 1 (pow.f64 t 2)))
(*.f64 2/9 (/.f64 1 t))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/27 (pow.f64 t -2) (fma.f64 4/81 (pow.f64 t -3) 5/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 1/729 (pow.f64 t -4)) (-.f64 (/.f64 1/27 (.f64 t t)) (fma.f64 4/81 (pow.f64 t -3) 5/6))) (/.f64 (pow.f64 (fma.f64 4/81 (pow.f64 t -3) 5/6) 2) (-.f64 (/.f64 1/27 (.f64 t t)) (fma.f64 4/81 (pow.f64 t -3) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 1/27 (pow.f64 t -2) (fma.f64 4/81 (pow.f64 t -3) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/27 (pow.f64 t -2) (fma.f64 4/81 (pow.f64 t -3) 5/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) (fma.f64 4/81 (pow.f64 t -3) 5/6))) (pow.f64 (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) (fma.f64 4/81 (pow.f64 t -3) 5/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) (fma.f64 4/81 (pow.f64 t -3) 5/6))) 2) (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) (fma.f64 4/81 (pow.f64 t -3) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 1/27 (pow.f64 t -2) (fma.f64 4/81 (pow.f64 t -3) 5/6))) (sqrt.f64 (fma.f64 1/27 (pow.f64 t -2) (fma.f64 4/81 (pow.f64 t -3) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/19683 (pow.f64 t -6) (pow.f64 (fma.f64 4/81 (pow.f64 t -3) 5/6) 3)) (/.f64 1 (fma.f64 (fma.f64 4/81 (pow.f64 t -3) 5/6) (-.f64 (fma.f64 4/81 (pow.f64 t -3) 5/6) (/.f64 1/27 (.f64 t t))) (.f64 1/729 (pow.f64 t -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 1/729 (pow.f64 t -4)) (pow.f64 (fma.f64 4/81 (pow.f64 t -3) 5/6) 2)) (/.f64 1 (-.f64 (/.f64 1/27 (.f64 t t)) (fma.f64 4/81 (pow.f64 t -3) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 4/81 (pow.f64 t -3) 5/6) (-.f64 (fma.f64 4/81 (pow.f64 t -3) 5/6) (/.f64 1/27 (.f64 t t))) (.f64 1/729 (pow.f64 t -4))) (fma.f64 1/19683 (pow.f64 t -6) (pow.f64 (fma.f64 4/81 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/19683 (pow.f64 t -6) (pow.f64 (fma.f64 4/81 (pow.f64 t -3) 5/6) 3))) (neg.f64 (fma.f64 (fma.f64 4/81 (pow.f64 t -3) 5/6) (-.f64 (fma.f64 4/81 (pow.f64 t -3) 5/6) (/.f64 1/27 (.f64 t t))) (.f64 1/729 (pow.f64 t -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 1/729 (pow.f64 t -4)) (pow.f64 (fma.f64 4/81 (pow.f64 t -3) 5/6) 2))) (neg.f64 (-.f64 (/.f64 1/27 (.f64 t t)) (fma.f64 4/81 (pow.f64 t -3) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/27 (fma.f64 (/.f64 4/81 (pow.f64 t 3)) (fma.f64 4/81 (pow.f64 t -3) -5/6) 25/36) (.f64 (.f64 t t) (fma.f64 (pow.f64 (pow.f64 t -3) 3) 64/531441 125/216))) (.f64 (.f64 t t) (fma.f64 (/.f64 4/81 (pow.f64 t 3)) (fma.f64 4/81 (pow.f64 t -3) -5/6) 25/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/27 (-.f64 5/6 (/.f64 4/81 (pow.f64 t 3))) (.f64 (.f64 t t) (-.f64 25/36 (.f64 16/6561 (pow.f64 t -6))))) (.f64 (.f64 t t) (-.f64 5/6 (/.f64 4/81 (pow.f64 t 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (fma.f64 (pow.f64 (pow.f64 t -3) 3) 64/531441 125/216) (.f64 t t) (.f64 (fma.f64 (/.f64 4/81 (pow.f64 t 3)) (fma.f64 4/81 (pow.f64 t -3) -5/6) 25/36) 1/27)) (.f64 (fma.f64 (/.f64 4/81 (pow.f64 t 3)) (fma.f64 4/81 (pow.f64 t -3) -5/6) 25/36) (.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 25/36 (.f64 16/6561 (pow.f64 t -6))) (.f64 t t) (.f64 (-.f64 5/6 (/.f64 4/81 (pow.f64 t 3))) 1/27)) (.f64 (-.f64 5/6 (/.f64 4/81 (pow.f64 t 3))) (.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6) 3) (/.f64 64/531441 (pow.f64 (pow.f64 t 3) 3))) (fma.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6) (fma.f64 1/27 (pow.f64 t -2) 5/6) (-.f64 (.f64 16/6561 (pow.f64 t -6)) (.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6) (/.f64 4/81 (pow.f64 t 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 4/81 (pow.f64 t 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simplify108.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

738×	`sqr-pow_binary64`
728×	`associate-/l*_binary64`
536×	`unswap-sqr_binary64`
490×	`*-commutative_binary64`
360×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	177
1	40	177
2	72	177
3	141	177
4	402	177
5	1758	177
6	4475	177
7	4717	177
8	5022	177
9	5348	177
10	5768	177
11	6385	177
12	7253	177

Stop Event

1×	node limit

Counts

182 → 159

Calls

Call 1

Inputs
(/.f64 4/81 (pow.f64 t 3))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
5/6
(+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
5/6
(+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 2/9 t)
(/.f64 2/9 t)
(/.f64 2/9 t)
(/.f64 2/9 t)
(/.f64 2/9 t)
(/.f64 2/9 t)
(/.f64 2/9 t)
(/.f64 2/9 t)
(/.f64 2/9 t)
(/.f64 2/9 t)
(/.f64 2/9 t)
(/.f64 2/9 t)

Outputs
(/.f64 4/81 (pow.f64 t 3))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))
(.f64 (/.f64 1 (.f64 t t)) (+.f64 1/27 (/.f64 4/81 t)))
5/6
(+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 1/27 (*.f64 t t)) 5/6)
5/6
(+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 1/27 (*.f64 t t)) 5/6)
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 2/9 t)
(/.f64 2/9 t)
(/.f64 2/9 t)
(/.f64 2/9 t)
(/.f64 2/9 t)
(/.f64 2/9 t)
(/.f64 2/9 t)
(/.f64 2/9 t)
(/.f64 2/9 t)
(/.f64 2/9 t)
(/.f64 2/9 t)
(/.f64 2/9 t)

eval614.0ms (3.8%)

Compiler: Compiled 21855 to 18093 computations (17.2% saved)

prune132.0ms (0.8%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	911	7	918
Fresh	2	3	5
Picked	1	0	1
Done	4	5	9
Total	918	15	933

Error

Counts

933 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	24.7b	5/6
✓	0.0b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
	28.5b	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
	34.4b	(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))))
✓	33.9b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (*.f64 t 12) -8)) 4))))
▶	25.2b	(-.f64 11/6 1)
▶	28.7b	(-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (.f64 2/9 (/.f64 1 t)))
✓	0.0b	(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
✓	28.5b	(+.f64 5/6 (/.f64 -2/9 t))
✓	28.4b	(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
	34.2b	(fma.f64 t t 1/2)
▶	28.5b	(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)
	28.6b	1/2
▶	32.1b	(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))))
▶	28.4b	(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))

Compiler

Compiled 348 to 282 computations (19% saved)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(-.f64 11/6 1)

Compiler

Compiled 6 to 6 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite77.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

629×	`prod-diff_binary64`
414×	`log1p-udef_binary64`
256×	`add-sqr-sqrt_binary64`
251×	`pow1_binary64`
244×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	1
1	76	1
2	655	1
3	6159	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 11/6 1)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 5/6)))))

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs

Outputs

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)
✓	0.0b	(+.f64 (/.f64 -2/9 t) -1/6)
	0.4b	(/.f64 -2/9 t)

Compiler

Compiled 20 to 16 computations (20% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(+.f64 (/.f64 -2/9 t) -1/6)
0.0ms	t	@	inf	(+.f64 (/.f64 -2/9 t) -1/6)
0.0ms	t	@	-inf	(+.f64 (/.f64 -2/9 t) -1/6)
0.0ms	t	@	inf	(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)
0.0ms	t	@	0	(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`pow1_binary64`
895×	`add-log-exp_binary64`
895×	`log1p-expm1-u_binary64`
895×	`expm1-log1p-u_binary64`
92×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	185	14
2	2377	14

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

Inputs
(+.f64 (/.f64 -2/9 t) -1/6)
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 4/81 (*.f64 t t)) (+.f64 (/.f64 -2/9 t) 1/6)) (/.f64 1/36 (+.f64 (/.f64 -2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -2/9 t) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) -1/6)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 2)) (cbrt.f64 (+.f64 (/.f64 -2/9 t) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) -1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) -1/6)) (sqrt.f64 (+.f64 (/.f64 -2/9 t) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) -1/6)) (*.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) -1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/216 (/.f64 -8/729 (pow.f64 t 3))) (/.f64 1 (-.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) 1/36) (/.f64 1/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) -1/36) (/.f64 1 (+.f64 (/.f64 -2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) 1/36) (/.f64 1/27 t)) (+.f64 -1/216 (/.f64 -8/729 (pow.f64 t 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 -2/9 t) 1/6) (+.f64 (/.f64 4/81 (*.f64 t t)) -1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/216 (/.f64 -8/729 (pow.f64 t 3))) (-.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) 1/36) (/.f64 1/27 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/216 (/.f64 -8/729 (pow.f64 t 3))) (+.f64 1/36 (-.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 1/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) -1/36) (+.f64 (/.f64 -2/9 t) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1/216 (/.f64 -8/729 (pow.f64 t 3)))) (neg.f64 (-.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) 1/36) (/.f64 1/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) -1/36)) (neg.f64 (+.f64 (/.f64 -2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/36 (/.f64 4/81 (*.f64 t t))) (-.f64 -1/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/216 (/.f64 -8/729 (pow.f64 t 3))) 1) (-.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) 1/36) (/.f64 1/27 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) -1/36) 1) (+.f64 (/.f64 -2/9 t) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -2/9 t) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -2/9 t) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -2/9 t) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -2/9 t) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 t) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/9 t) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (cbrt.f64 (/.f64 -2/9 t)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) -1/6)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -2/9 t) 5/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 2) (+.f64 (/.f64 -2/9 t) -7/6)) (/.f64 1 (+.f64 (/.f64 -2/9 t) -7/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2) (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 2) (-.f64 1 (+.f64 (/.f64 -2/9 t) -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 2) -1) (/.f64 1 (+.f64 (/.f64 -2/9 t) -7/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 2) (-.f64 1 (+.f64 (/.f64 -2/9 t) -1/6))) (+.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 -2/9 t) -7/6) (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 2) (-.f64 1 (+.f64 (/.f64 -2/9 t) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 2) (+.f64 (/.f64 -2/9 t) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 2) -1) (+.f64 (/.f64 -2/9 t) -7/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 2) (-.f64 1 (+.f64 (/.f64 -2/9 t) -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 2) -1)) (neg.f64 (+.f64 (/.f64 -2/9 t) -7/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -8/729 (pow.f64 t 3)) 125/216) (+.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 25/36 (*.f64 (/.f64 -2/9 t) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 2)) (-.f64 1 (+.f64 (/.f64 -2/9 t) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4/81 (*.f64 t t)) 25/36) (-.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -2/9 t) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 (/.f64 -2/9 t) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 -2/9 t) -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 2)) (cbrt.f64 (+.f64 (/.f64 -2/9 t) -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (cbrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) -1/6)) (sqrt.f64 (+.f64 (/.f64 -2/9 t) -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) 5/6)))))

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

21×	`fma-def_binary64`
12×	`sub-neg_binary64`
12×	`fma-neg_binary64`
9×	`+-commutative_binary64`
6×	`associate-+l-_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	156
1	30	138
2	53	138
3	83	138
4	106	138
5	130	138
6	157	138
7	164	138
8	168	138

Stop Event

1×

saturated

Counts

97 → 80

Calls

Call 1

Inputs
(/.f64 -2/9 t)
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
-1/6
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
-1/6
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))

Outputs
(/.f64 -2/9 t)
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 -1/6 (neg.f64 (/.f64 2/9 t)))
(+.f64 (/.f64 -2/9 t) -1/6)
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 -1/6 (neg.f64 (/.f64 2/9 t)))
(+.f64 (/.f64 -2/9 t) -1/6)
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 -1/6 (neg.f64 (/.f64 2/9 t)))
(+.f64 (/.f64 -2/9 t) -1/6)
-1/6
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 -1/6 (neg.f64 (/.f64 2/9 t)))
(+.f64 (/.f64 -2/9 t) -1/6)
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 -1/6 (neg.f64 (/.f64 2/9 t)))
(+.f64 (/.f64 -2/9 t) -1/6)
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 -1/6 (neg.f64 (/.f64 2/9 t)))
(+.f64 (/.f64 -2/9 t) -1/6)
-1/6
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 -1/6 (neg.f64 (/.f64 2/9 t)))
(+.f64 (/.f64 -2/9 t) -1/6)
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 -1/6 (neg.f64 (/.f64 2/9 t)))
(+.f64 (/.f64 -2/9 t) -1/6)
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 -1/6 (neg.f64 (/.f64 2/9 t)))
(+.f64 (/.f64 -2/9 t) -1/6)
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
✓	0.0b	(-.f64 2/9 (/.f64 1/27 t))
✓	0.2b	(/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)
✓	0.3b	(/.f64 1/27 t)

Compiler

Compiled 29 to 22 computations (24.1% saved)

series5.0ms (0%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)
1.0ms	t	@	-inf	(/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)
0.0ms	t	@	0	(/.f64 1/27 t)
0.0ms	t	@	inf	(/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)
0.0ms	t	@	inf	(/.f64 1/27 t)

rewrite113.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

484×	`log-prod_binary64`
285×	`pow2_binary64`
266×	`prod-diff_binary64`
242×	`pow-prod-down_binary64`
198×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	219	34
2	3035	34

Stop Event

1×	node limit

Counts

4 → 234

Calls

Call 1

Inputs
(/.f64 1/27 t)
(/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)
(-.f64 2/9 (/.f64 1/27 t))
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/27 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/27 t))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/27 t)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/27 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/27 (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/27 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1/27 t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/27 t)) (cbrt.f64 (.f64 1/729 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 1/729 (pow.f64 t -2))) (cbrt.f64 (/.f64 1/27 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 1/27 t)) (sqrt.f64 (/.f64 1/27 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/27 (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 t) 1/27)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/27 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/729 (pow.f64 t -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/27 t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/27 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/19683 (pow.f64 t -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 t 27) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 t 27) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/729 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/27 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/19683 (pow.f64 t -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/27 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/27 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/27 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 1/27 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 1/27 t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 1/27 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/19683 (pow.f64 t -3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 t 27)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 1/27 t)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (/.f64 1/27 t)) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t) (fma.f64 (neg.f64 (/.f64 1 t)) (/.f64 1/27 t) (.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t) (fma.f64 (neg.f64 (sqrt.f64 (.f64 1/27 (pow.f64 t -2)))) (sqrt.f64 (.f64 1/27 (pow.f64 t -2))) (.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 1/27 t)) (sqrt.f64 t))) (/.f64 (sqrt.f64 (/.f64 1/27 t)) (sqrt.f64 t)) (.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2/9 t) (neg.f64 (.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2/9 (/.f64 1 t) (neg.f64 (.f64 (pow.f64 t -2) 1/27))) (fma.f64 (neg.f64 (pow.f64 t -2)) 1/27 (.f64 (pow.f64 t -2) 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 2/9 t) (neg.f64 (.f64 (pow.f64 t -2) 1/27))) (fma.f64 (neg.f64 (pow.f64 t -2)) 1/27 (.f64 (pow.f64 t -2) 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 2/9 t)) 2) (cbrt.f64 (/.f64 2/9 t)) (neg.f64 (.f64 (pow.f64 t -2) 1/27))) (fma.f64 (neg.f64 (pow.f64 t -2)) 1/27 (.f64 (pow.f64 t -2) 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 2/9 t)) (sqrt.f64 (/.f64 2/9 t)) (neg.f64 (.f64 (pow.f64 t -2) 1/27))) (fma.f64 (neg.f64 (pow.f64 t -2)) 1/27 (.f64 (pow.f64 t -2) 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2/9 (/.f64 1 t) (neg.f64 (.f64 (.f64 1/27 (pow.f64 t -2)) 1))) (fma.f64 (neg.f64 (.f64 1/27 (pow.f64 t -2))) 1 (.f64 (.f64 1/27 (pow.f64 t -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 2/9 t) (neg.f64 (.f64 (.f64 1/27 (pow.f64 t -2)) 1))) (fma.f64 (neg.f64 (.f64 1/27 (pow.f64 t -2))) 1 (.f64 (.f64 1/27 (pow.f64 t -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 2/9 t)) 2) (cbrt.f64 (/.f64 2/9 t)) (neg.f64 (.f64 (.f64 1/27 (pow.f64 t -2)) 1))) (fma.f64 (neg.f64 (.f64 1/27 (pow.f64 t -2))) 1 (.f64 (.f64 1/27 (pow.f64 t -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 2/9 t)) (sqrt.f64 (/.f64 2/9 t)) (neg.f64 (.f64 (.f64 1/27 (pow.f64 t -2)) 1))) (fma.f64 (neg.f64 (.f64 1/27 (pow.f64 t -2))) 1 (.f64 (.f64 1/27 (pow.f64 t -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2/9 (/.f64 1 t) (neg.f64 (.f64 (cbrt.f64 (.f64 1/27 (pow.f64 t -2))) (pow.f64 (cbrt.f64 (.f64 1/27 (pow.f64 t -2))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/27 (pow.f64 t -2)))) (pow.f64 (cbrt.f64 (.f64 1/27 (pow.f64 t -2))) 2) (.f64 (cbrt.f64 (.f64 1/27 (pow.f64 t -2))) (pow.f64 (cbrt.f64 (.f64 1/27 (pow.f64 t -2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 2/9 t) (neg.f64 (.f64 (cbrt.f64 (.f64 1/27 (pow.f64 t -2))) (pow.f64 (cbrt.f64 (.f64 1/27 (pow.f64 t -2))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/27 (pow.f64 t -2)))) (pow.f64 (cbrt.f64 (.f64 1/27 (pow.f64 t -2))) 2) (.f64 (cbrt.f64 (.f64 1/27 (pow.f64 t -2))) (pow.f64 (cbrt.f64 (.f64 1/27 (pow.f64 t -2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 2/9 t)) 2) (cbrt.f64 (/.f64 2/9 t)) (neg.f64 (.f64 (cbrt.f64 (.f64 1/27 (pow.f64 t -2))) (pow.f64 (cbrt.f64 (.f64 1/27 (pow.f64 t -2))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/27 (pow.f64 t -2)))) (pow.f64 (cbrt.f64 (.f64 1/27 (pow.f64 t -2))) 2) (.f64 (cbrt.f64 (.f64 1/27 (pow.f64 t -2))) (pow.f64 (cbrt.f64 (.f64 1/27 (pow.f64 t -2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 2/9 t)) (sqrt.f64 (/.f64 2/9 t)) (neg.f64 (.f64 (cbrt.f64 (.f64 1/27 (pow.f64 t -2))) (pow.f64 (cbrt.f64 (.f64 1/27 (pow.f64 t -2))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/27 (pow.f64 t -2)))) (pow.f64 (cbrt.f64 (.f64 1/27 (pow.f64 t -2))) 2) (.f64 (cbrt.f64 (.f64 1/27 (pow.f64 t -2))) (pow.f64 (cbrt.f64 (.f64 1/27 (pow.f64 t -2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2/9 (/.f64 1 t) (neg.f64 (.f64 (/.f64 (cbrt.f64 (/.f64 1/27 t)) t) (/.f64 (cbrt.f64 (.f64 1/729 (pow.f64 t -2))) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 1/27 t)) t)) (/.f64 (cbrt.f64 (.f64 1/729 (pow.f64 t -2))) 1) (.f64 (/.f64 (cbrt.f64 (/.f64 1/27 t)) t) (/.f64 (cbrt.f64 (.f64 1/729 (pow.f64 t -2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 2/9 t) (neg.f64 (.f64 (/.f64 (cbrt.f64 (/.f64 1/27 t)) t) (/.f64 (cbrt.f64 (.f64 1/729 (pow.f64 t -2))) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 1/27 t)) t)) (/.f64 (cbrt.f64 (.f64 1/729 (pow.f64 t -2))) 1) (.f64 (/.f64 (cbrt.f64 (/.f64 1/27 t)) t) (/.f64 (cbrt.f64 (.f64 1/729 (pow.f64 t -2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 2/9 t)) 2) (cbrt.f64 (/.f64 2/9 t)) (neg.f64 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((x pow.f64 (pow.f64 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t) (+.f64 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t) 5/6) 25/36) (-.f64 125/216 (pow.f64 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t) 5/6) (-.f64 25/36 (pow.f64 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 2/9 (/.f64 1/27 t)) (neg.f64 (/.f64 1 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 -2/9 (neg.f64 (/.f64 -1/27 t))) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t) 2)) (neg.f64 (cbrt.f64 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)) (neg.f64 (sqrt.f64 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 -2/9 (neg.f64 (/.f64 -1/27 t))) (/.f64 1 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -2/9 (neg.f64 (/.f64 -1/27 t))) t)) 2) (cbrt.f64 (/.f64 (+.f64 -2/9 (neg.f64 (/.f64 -1/27 t))) t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 -2/9 (neg.f64 (/.f64 -1/27 t))) t)) (sqrt.f64 (/.f64 (+.f64 -2/9 (neg.f64 (/.f64 -1/27 t))) t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t) 2))) (cbrt.f64 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))) (sqrt.f64 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)) 5/6)))))

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

987×	`fma-neg_binary64`
601×	`associate-/l*_binary64`
541×	`fma-def_binary64`
445×	`associate-/r/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	26	333
1	64	333
2	116	333
3	227	333
4	549	333
5	1981	321
6	5859	321

Stop Event

1×	node limit

Counts

270 → 252

Calls

Call 1

Inputs
(/.f64 -1/27 (pow.f64 t 2))
(-.f64 (.f64 2/9 (/.f64 1 t)) (.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (.f64 2/9 (/.f64 1 t)) (.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (.f64 2/9 (/.f64 1 t)) (.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(/.f64 2/9 t)
(-.f64 (.f64 2/9 (/.f64 1 t)) (.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (.f64 2/9 (/.f64 1 t)) (.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (.f64 2/9 (/.f64 1 t)) (.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(/.f64 2/9 t)
(-.f64 (.f64 2/9 (/.f64 1 t)) (.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (.f64 2/9 (/.f64 1 t)) (.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (.f64 2/9 (/.f64 1 t)) (.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(/.f64 -1/27 t)
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
2/9
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
2/9
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(/.f64 1/27 (pow.f64 t 2))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))

Outputs
(/.f64 -1/27 (pow.f64 t 2))
(/.f64 -1/27 (*.f64 t t))
(/.f64 (/.f64 -1/27 t) t)
(-.f64 (.f64 2/9 (/.f64 1 t)) (.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t)))
(+.f64 (/.f64 2/9 t) (/.f64 (/.f64 -1/27 t) t))
(+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t)))
(-.f64 (/.f64 -1/27 (*.f64 t t)) (/.f64 -2/9 t))
(-.f64 (.f64 2/9 (/.f64 1 t)) (.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t)))
(+.f64 (/.f64 2/9 t) (/.f64 (/.f64 -1/27 t) t))
(+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t)))
(-.f64 (/.f64 -1/27 (*.f64 t t)) (/.f64 -2/9 t))
(-.f64 (.f64 2/9 (/.f64 1 t)) (.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t)))
(+.f64 (/.f64 2/9 t) (/.f64 (/.f64 -1/27 t) t))
(+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t)))
(-.f64 (/.f64 -1/27 (*.f64 t t)) (/.f64 -2/9 t))
(/.f64 2/9 t)
(-.f64 (.f64 2/9 (/.f64 1 t)) (.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t)))
(+.f64 (/.f64 2/9 t) (/.f64 (/.f64 -1/27 t) t))
(+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t)))
(-.f64 (/.f64 -1/27 (*.f64 t t)) (/.f64 -2/9 t))
(-.f64 (.f64 2/9 (/.f64 1 t)) (.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t)))
(+.f64 (/.f64 2/9 t) (/.f64 (/.f64 -1/27 t) t))
(+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t)))
(-.f64 (/.f64 -1/27 (*.f64 t t)) (/.f64 -2/9 t))
(-.f64 (.f64 2/9 (/.f64 1 t)) (.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t)))
(+.f64 (/.f64 2/9 t) (/.f64 (/.f64 -1/27 t) t))
(+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t)))
(-.f64 (/.f64 -1/27 (*.f64 t t)) (/.f64 -2/9 t))
(/.f64 2/9 t)
(-.f64 (.f64 2/9 (/.f64 1 t)) (.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t)))
(+.f64 (/.f64 2/9 t) (/.f64 (/.f64 -1/27 t) t))
(+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t)))
(-.f64 (/.f64 -1/27 (*.f64 t t)) (/.f64 -2/9 t))
(-.f64 (.f64 2/9 (/.f64 1 t)) (.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t)))
(+.f64 (/.f64 2/9 t) (/.f64 (/.f64 -1/27 t) t))
(+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t)))
(-.f64 (/.f64 -1/27 (*.f64 t t)) (/.f64 -2/9 t))
(-.f64 (.f64 2/9 (/.f64 1 t)) (.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t)))
(+.f64 (/.f64 2/9 t) (/.f64 (/.f64 -1/27 t) t))
(+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t)))
(-.f64 (/.f64 -1/27 (*.f64 t t)) (/.f64 -2/9 t))
(/.f64 -1/27 t)
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (/.f64 1/27 t))
(+.f64 2/9 (/.f64 -1/27 t))
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (/.f64 1/27 t))
(+.f64 2/9 (/.f64 -1/27 t))
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (/.f64 1/27 t))
(+.f64 2/9 (/.f64 -1/27 t))
2/9
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (/.f64 1/27 t))
(+.f64 2/9 (/.f64 -1/27 t))
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (/.f64 1/27 t))
(+.f64 2/9 (/.f64 -1/27 t))
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (/.f64 1/27 t))
(+.f64 2/9 (/.f64 -1/27 t))
2/9
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (/.f64 1/27 t))
(+.f64 2/9 (/.f64 -1/27 t))
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (/.f64 1/27 t))
(+.f64 2/9 (/.f64 -1/27 t))
(-.f64 2/9 (*.f64 1/27 (/.f64 1 t)))
(-.f64 2/9 (/.f64 1/27 t))
(+.f64 2/9 (/.f64 -1/27 t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
(-.f64 (+.f64 5/6 (.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 -2/9 t) -5/6))
(fma.f64 (/.f64 1 t) (+.f64 (/.f64 1/27 t) -2/9) 5/6)
(-.f64 (+.f64 5/6 (.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 -2/9 t) -5/6))
(fma.f64 (/.f64 1 t) (+.f64 (/.f64 1/27 t) -2/9) 5/6)
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (/.f64 -2/9 t) -5/6)
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 -2/9 t) -5/6))
(fma.f64 (/.f64 1 t) (+.f64 (/.f64 1/27 t) -2/9) 5/6)
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 -2/9 t) -5/6))
(fma.f64 (/.f64 1 t) (+.f64 (/.f64 1/27 t) -2/9) 5/6)
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (/.f64 -2/9 t) -5/6)
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 -2/9 t) -5/6))
(fma.f64 (/.f64 1 t) (+.f64 (/.f64 1/27 t) -2/9) 5/6)
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 -2/9 t) -5/6))
(fma.f64 (/.f64 1 t) (+.f64 (/.f64 1/27 t) -2/9) 5/6)

localize92.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 t (+.f64 4 (.f64 t -8)))
✓	0.1b	(.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))
	0.1b	(.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))
✓	19.4b	(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))))

Compiler

Compiled 92 to 63 computations (31.5% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))))
1.0ms	t	@	inf	(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))))
0.0ms	t	@	-inf	(.f64 t (+.f64 4 (.f64 t -8)))
0.0ms	t	@	-inf	(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))))
0.0ms	t	@	0	(.f64 t (+.f64 4 (.f64 t -8)))

rewrite220.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

767×	`log-prod_binary64`
726×	`fma-def_binary64`
325×	`fma-neg_binary64`
272×	`expm1-udef_binary64`
272×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	49
1	381	45
2	4849	45

Stop Event

1×	node limit

Counts

3 → 162

Calls

Call 1

Inputs
(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))))
(.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))
(.f64 t (+.f64 4 (.f64 t -8)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 t t) (fma.f64 t -8 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -8 (pow.f64 t 3)) (*.f64 4 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (*.f64 t t)) (*.f64 -8 (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -8 (pow.f64 t 3)) 1) (*.f64 (*.f64 4 (*.f64 t t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) (fma.f64 t -8 4))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) (fma.f64 t -8 4))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) (fma.f64 t -8 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) (fma.f64 t -8 4)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 t) t) (fma.f64 t -8 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 t (fma.f64 t -8 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t 4) (*.f64 t (*.f64 t -8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t (*.f64 t -8)) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 t 4) 1) (*.f64 (*.f64 t (*.f64 t -8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (fma.f64 t -8 4))) (cbrt.f64 (pow.f64 (exp.f64 t) (fma.f64 t -8 4))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (fma.f64 t -8 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (fma.f64 t -8 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (fma.f64 t -8 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 t (fma.f64 t -8 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 t 4) 3) (pow.f64 (*.f64 t (*.f64 t -8)) 3)) (fma.f64 (*.f64 t 4) (*.f64 t 4) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 t (*.f64 t -8) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 t (*.f64 t (*.f64 t -8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -8 (*.f64 t t) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t -8) t (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t t) -8 (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 t t) 64)) (*.f64 (cbrt.f64 (*.f64 t -8)) t) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) 4) (*.f64 t (*.f64 t -8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) (*.f64 t -8)) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 t -8)) (*.f64 (sqrt.f64 (*.f64 t -8)) t) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) 4) (*.f64 t (*.f64 t -8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (*.f64 t -8)) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t 4) 1 (*.f64 (*.f64 t (*.f64 t -8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 t (*.f64 t -8))) (cbrt.f64 (*.f64 t (*.f64 t -8)))) (cbrt.f64 (*.f64 t (*.f64 t -8))) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 t 4)) (cbrt.f64 (*.f64 t 4))) (cbrt.f64 (*.f64 t 4)) (*.f64 t (*.f64 t -8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 t (*.f64 t -8))) (sqrt.f64 (*.f64 t (*.f64 t -8))) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 t 4)) (sqrt.f64 (*.f64 t 4)) (*.f64 t (*.f64 t -8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t (sqrt.f64 (*.f64 t -8))) (sqrt.f64 (*.f64 t -8)) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 (*.f64 t -8))) (*.f64 (sqrt.f64 t) (sqrt.f64 (*.f64 t -8))) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 t -8)) (sqrt.f64 t)) (*.f64 (sqrt.f64 (*.f64 t -8)) (sqrt.f64 t)) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t) (*.f64 t (*.f64 t -8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (sqrt.f64 t)) (sqrt.f64 t) (*.f64 t (*.f64 t -8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t (cbrt.f64 (*.f64 (*.f64 t t) 64))) (cbrt.f64 (*.f64 t -8)) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 t -8) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t) (*.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 t -8) (sqrt.f64 t)) (sqrt.f64 t) (*.f64 t 4))))))

simplify104.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

808×	`associate-/r/_binary64`
711×	`associate-/r*_binary64`
341×	`distribute-rgt-out_binary64`
312×	`distribute-lft-out_binary64`
266×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	423
1	106	419
2	244	399
3	606	363
4	1733	363
5	4938	363
6	6665	363
7	7080	363
8	7827	363

Stop Event

1×	node limit

Counts

198 → 189

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(+.f64 (.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (.f64 -2 (pow.f64 t 4)) (pow.f64 t 2))))
1
(+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (.f64 1/16 (/.f64 1 (pow.f64 t 4)))))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/32 (/.f64 1 (pow.f64 t 5))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (.f64 1/16 (/.f64 1 (pow.f64 t 4)))))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/32 (/.f64 1 (pow.f64 t 5))))))
(*.f64 4 (pow.f64 t 2))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(*.f64 -8 (pow.f64 t 3))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(*.f64 -8 (pow.f64 t 3))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(*.f64 4 t)
(+.f64 (.f64 -8 (pow.f64 t 2)) (.f64 4 t))
(+.f64 (.f64 -8 (pow.f64 t 2)) (.f64 4 t))
(+.f64 (.f64 -8 (pow.f64 t 2)) (.f64 4 t))
(*.f64 -8 (pow.f64 t 2))
(+.f64 (.f64 4 t) (.f64 -8 (pow.f64 t 2)))
(+.f64 (.f64 4 t) (.f64 -8 (pow.f64 t 2)))
(+.f64 (.f64 4 t) (.f64 -8 (pow.f64 t 2)))
(*.f64 -8 (pow.f64 t 2))
(+.f64 (.f64 4 t) (.f64 -8 (pow.f64 t 2)))
(+.f64 (.f64 4 t) (.f64 -8 (pow.f64 t 2)))
(+.f64 (.f64 4 t) (.f64 -8 (pow.f64 t 2)))

Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (*.f64 t t)))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 3) 1/2))
(fma.f64 t (fma.f64 t (*.f64 t -2) t) 1/2)
(+.f64 (.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (.f64 -2 (pow.f64 t 4)) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (fma.f64 -2 (pow.f64 t 4) (*.f64 t t))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (fma.f64 t t (*.f64 -2 (pow.f64 t 4)))))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 -2 (pow.f64 t 4) (fma.f64 t t 1/2)))
(fma.f64 t (fma.f64 t (*.f64 t -2) t) (fma.f64 -2 (pow.f64 t 4) 1/2))
1
(+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))))
(+.f64 1 (/.f64 1/8 (pow.f64 t 3)))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (.f64 1/16 (/.f64 1 (pow.f64 t 4)))))
(+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 1 (/.f64 1/16 (pow.f64 t 4))))
(+.f64 1 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/8 (pow.f64 t 3))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 3)) (/.f64 1/16 (pow.f64 t 4))))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/32 (/.f64 1 (pow.f64 t 5))))))
(+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 1 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5))) (/.f64 1/8 (pow.f64 t 3))))
(+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (+.f64 1 (/.f64 1/32 (pow.f64 t 5)))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))))
1
(+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 t 3))))
(+.f64 1 (/.f64 1/8 (pow.f64 t 3)))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (.f64 1/16 (/.f64 1 (pow.f64 t 4)))))
(+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 1 (/.f64 1/16 (pow.f64 t 4))))
(+.f64 1 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/8 (pow.f64 t 3))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 3)) (/.f64 1/16 (pow.f64 t 4))))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 t 3))) (+.f64 1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 t 4))) (*.f64 1/32 (/.f64 1 (pow.f64 t 5))))))
(+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 1 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5))) (/.f64 1/8 (pow.f64 t 3))))
(+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (+.f64 1 (/.f64 1/32 (pow.f64 t 5)))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/16 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 5)))))
(*.f64 4 (pow.f64 t 2))
(.f64 (.f64 t t) 4)
(.f64 t (.f64 t 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(*.f64 -8 (pow.f64 t 3))
(*.f64 (pow.f64 t 3) -8)
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(*.f64 -8 (pow.f64 t 3))
(*.f64 (pow.f64 t 3) -8)
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(*.f64 4 t)
(*.f64 t 4)
(+.f64 (.f64 -8 (pow.f64 t 2)) (.f64 4 t))
(fma.f64 -8 (.f64 t t) (.f64 t 4))
(fma.f64 t 4 (.f64 (.f64 t t) -8))
(.f64 t (+.f64 4 (.f64 t -8)))
(*.f64 t (fma.f64 t -8 4))
(+.f64 (.f64 -8 (pow.f64 t 2)) (.f64 4 t))
(fma.f64 -8 (.f64 t t) (.f64 t 4))
(fma.f64 t 4 (.f64 (.f64 t t) -8))
(.f64 t (+.f64 4 (.f64 t -8)))
(*.f64 t (fma.f64 t -8 4))
(+.f64 (.f64 -8 (pow.f64 t 2)) (.f64 4 t))
(fma.f64 -8 (.f64 t t) (.f64 t 4))
(fma.f64 t 4 (.f64 (.f64 t t) -8))
(.f64 t (+.f64 4 (.f64 t -8)))
(*.f64 t (fma.f64 t -8 4))
(*.f64 -8 (pow.f64 t 2))
(.f64 (.f64 t t) -8)
(.f64 t (.f64 t -8))
(+.f64 (.f64 4 t) (.f64 -8 (pow.f64 t 2)))
(fma.f64 -8 (.f64 t t) (.f64 t 4))
(fma.f64 t 4 (.f64 (.f64 t t) -8))
(.f64 t (+.f64 4 (.f64 t -8)))
(*.f64 t (fma.f64 t -8 4))
(+.f64 (.f64 4 t) (.f64 -8 (pow.f64 t 2)))
(fma.f64 -8 (.f64 t t) (.f64 t 4))
(fma.f64 t 4 (.f64 (.f64 t t) -8))
(.f64 t (+.f64 4 (.f64 t -8)))
(*.f64 t (fma.f64 t -8 4))
(+.f64 (.f64 4 t) (.f64 -8 (pow.f64 t 2)))
(fma.f64 -8 (.f64 t t) (.f64 t 4))
(fma.f64 t 4 (.f64 (.f64 t t) -8))
(.f64 t (+.f64 4 (.f64 t -8)))
(*.f64 t (fma.f64 t -8 4))
(*.f64 -8 (pow.f64 t 2))
(.f64 (.f64 t t) -8)
(.f64 t (.f64 t -8))
(+.f64 (.f64 4 t) (.f64 -8 (pow.f64 t 2)))
(fma.f64 -8 (.f64 t t) (.f64 t 4))
(fma.f64 t 4 (.f64 (.f64 t t) -8))
(.f64 t (+.f64 4 (.f64 t -8)))
(*.f64 t (fma.f64 t -8 4))
(+.f64 (.f64 4 t) (.f64 -8 (pow.f64 t 2)))
(fma.f64 -8 (.f64 t t) (.f64 t 4))
(fma.f64 t 4 (.f64 (.f64 t t) -8))
(.f64 t (+.f64 4 (.f64 t -8)))
(*.f64 t (fma.f64 t -8 4))
(+.f64 (.f64 4 t) (.f64 -8 (pow.f64 t 2)))
(fma.f64 -8 (.f64 t t) (.f64 t 4))
(fma.f64 t 4 (.f64 (.f64 t t) -8))
(.f64 t (+.f64 4 (.f64 t -8)))
(*.f64 t (fma.f64 t -8 4))

localize105.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (pow.f64 t 3))
✓	0.4b	(*.f64 4/81 (/.f64 1 (pow.f64 t 3)))
	0.4b	(*.f64 2/9 (/.f64 1 t))
✓	8.5b	(+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))))

Compiler

Compiled 84 to 67 computations (20.2% saved)

series4.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(*.f64 4/81 (/.f64 1 (pow.f64 t 3)))
0.0ms	t	@	-inf	(/.f64 1 (pow.f64 t 3))
0.0ms	t	@	-inf	(*.f64 4/81 (/.f64 1 (pow.f64 t 3)))
0.0ms	t	@	0	(/.f64 1 (pow.f64 t 3))
0.0ms	t	@	inf	(*.f64 4/81 (/.f64 1 (pow.f64 t 3)))

rewrite106.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

657×	`log-prod_binary64`
477×	`fma-def_binary64`
282×	`fma-neg_binary64`
262×	`expm1-udef_binary64`
262×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	330	28
2	4365	28

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

Inputs
(+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
(*.f64 4/81 (/.f64 1 (pow.f64 t 3)))
(/.f64 1 (pow.f64 t 3))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 t -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 t -3))) (cbrt.f64 (exp.f64 (pow.f64 t -3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 t -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 t -3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 t -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 t -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 t -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 t -6)) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -3/2) (pow.f64 t -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (pow.f64 t 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (cbrt.f64 (pow.f64 t -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (/.f64 1 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 t) 2) -3) (pow.f64 (cbrt.f64 t) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 t) -3) (pow.f64 (sqrt.f64 t) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 t t)) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 t -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 t 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 t -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 t -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 t -3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 t) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (pow.f64 t 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 t -6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 t -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 t -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 t -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 t -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 t -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -3 (log.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 t) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 t)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3 (log.f64 t)) 1))))))

simplify114.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

738×	`sqr-pow_binary64`
725×	`associate-/l*_binary64`
536×	`unswap-sqr_binary64`
491×	`*-commutative_binary64`
362×	`associate-/r/_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	19	243
1	44	243
2	82	243
3	152	243
4	410	243
5	1764	231
6	4537	231
7	4788	231
8	5095	231
9	5421	231
10	5841	231
11	6461	231
12	7329	231

Stop Event

1×	node limit

Counts

180 → 163

Calls

Call 1

Inputs
(/.f64 4/81 (pow.f64 t 3))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
5/6
(+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
5/6
(+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
(/.f64 4/81 (pow.f64 t 3))
(/.f64 4/81 (pow.f64 t 3))
(/.f64 4/81 (pow.f64 t 3))
(/.f64 4/81 (pow.f64 t 3))
(/.f64 4/81 (pow.f64 t 3))
(/.f64 4/81 (pow.f64 t 3))
(/.f64 4/81 (pow.f64 t 3))
(/.f64 4/81 (pow.f64 t 3))
(/.f64 4/81 (pow.f64 t 3))
(/.f64 4/81 (pow.f64 t 3))
(/.f64 4/81 (pow.f64 t 3))
(/.f64 4/81 (pow.f64 t 3))

Outputs
(/.f64 4/81 (pow.f64 t 3))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))
(.f64 (/.f64 1 (.f64 t t)) (+.f64 1/27 (/.f64 4/81 t)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (/.f64 4/81 (pow.f64 t 3)))
(+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) 5/6))
(fma.f64 (/.f64 1 (*.f64 t t)) (+.f64 1/27 (/.f64 4/81 t)) 5/6)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (/.f64 4/81 (pow.f64 t 3)))
(+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) 5/6))
(fma.f64 (/.f64 1 (*.f64 t t)) (+.f64 1/27 (/.f64 4/81 t)) 5/6)
5/6
(+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 1/27 (*.f64 t t)) 5/6)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (/.f64 4/81 (pow.f64 t 3)))
(+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) 5/6))
(fma.f64 (/.f64 1 (*.f64 t t)) (+.f64 1/27 (/.f64 4/81 t)) 5/6)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (/.f64 4/81 (pow.f64 t 3)))
(+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) 5/6))
(fma.f64 (/.f64 1 (*.f64 t t)) (+.f64 1/27 (/.f64 4/81 t)) 5/6)
5/6
(+.f64 5/6 (*.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 1/27 (*.f64 t t)) 5/6)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (/.f64 4/81 (pow.f64 t 3)))
(+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) 5/6))
(fma.f64 (/.f64 1 (*.f64 t t)) (+.f64 1/27 (/.f64 4/81 t)) 5/6)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6) (/.f64 4/81 (pow.f64 t 3)))
(+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 (/.f64 1/27 (*.f64 t t)) 5/6))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) 5/6))
(fma.f64 (/.f64 1 (*.f64 t t)) (+.f64 1/27 (/.f64 4/81 t)) 5/6)
(/.f64 4/81 (pow.f64 t 3))
(/.f64 4/81 (pow.f64 t 3))
(/.f64 4/81 (pow.f64 t 3))
(/.f64 4/81 (pow.f64 t 3))
(/.f64 4/81 (pow.f64 t 3))
(/.f64 4/81 (pow.f64 t 3))
(/.f64 4/81 (pow.f64 t 3))
(/.f64 4/81 (pow.f64 t 3))
(/.f64 4/81 (pow.f64 t 3))
(/.f64 4/81 (pow.f64 t 3))
(/.f64 4/81 (pow.f64 t 3))
(/.f64 4/81 (pow.f64 t 3))

eval742.0ms (4.6%)

Compiler: Compiled 17656 to 13326 computations (24.5% saved)

prune337.0ms (2.1%)

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	752	4	756
Fresh	3	2	5
Picked	1	0	1
Done	0	9	9
Total	756	15	771

Error

Counts

771 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.5b	(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)
	28.7b	(-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (.f64 2/9 (/.f64 1 t)))
	34.6b	(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 t (*.f64 t 4))))
	28.6b	1/2
✓	0.0b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
	28.5b	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
✓	0.0b	(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
✓	28.5b	(+.f64 5/6 (/.f64 -2/9 t))
✓	28.4b	(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
	34.2b	(fma.f64 t t 1/2)
	24.7b	5/6
✓	33.9b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (*.f64 t 12) -8)) 4))))
✓	25.2b	(-.f64 11/6 1)
✓	32.1b	(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))))
✓	28.4b	(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))

Compiler

Compiled 247 to 200 computations (19% saved)

regimes239.0ms (1.5%)

Counts

33 → 1

Calls

Call 1

Inputs
5/6
5/6
1/2
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
(+.f64 5/6 (-.f64 (/.f64 (/.f64 1/27 t) t) (/.f64 2/9 t)))
(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 2 (+.f64 4 (/.f64 -8 t))))
(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))))
(-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (.f64 2/9 (/.f64 1 t)))
(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))))
(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (*.f64 t 12) -8)) 4))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 2 t)))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
(fma.f64 t t 1/2)
(fma.f64 t t 1/2)
(fma.f64 t t 1/2)
(-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

Outputs
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

Calls

9 calls:

100.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
43.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
26.0ms	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
17.0ms	t
15.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))

Results

Error	Segments	Branch
0.0b	1	`t`
0.0b	1	`(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))`
0.0b	1	`(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))`
0.0b	1	`(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))`
0.0b	1	`(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))`
0.0b	1	`(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))`
0.0b	1	`(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))`
0.0b	1	`(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))`
0.0b	1	`(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))`

Compiler

Compiled 767 to 619 computations (19.3% saved)

regimes65.0ms (0.4%)

Counts

32 → 1

Calls

Call 1

Inputs
5/6
5/6
1/2
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
(+.f64 5/6 (-.f64 (/.f64 (/.f64 1/27 t) t) (/.f64 2/9 t)))
(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 2 (+.f64 4 (/.f64 -8 t))))
(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))))
(-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (.f64 2/9 (/.f64 1 t)))
(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))))
(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (*.f64 t 12) -8)) 4))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 2 t)))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
(fma.f64 t t 1/2)
(fma.f64 t t 1/2)
(fma.f64 t t 1/2)
(-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))

Outputs

(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))

Calls

5 calls:

16.0ms	t
15.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
7.0ms	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
5.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
5.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

Results

Error	Segments	Branch
0.0b	1	`t`
0.0b	1	`(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))`
0.0b	1	`(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))`
0.0b	1	`(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))`
0.0b	1	`(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))`

Compiler

Compiled 640 to 512 computations (20% saved)

regimes92.0ms (0.6%)

Counts

26 → 3

Calls

Call 1

Inputs
5/6
5/6
1/2
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
(+.f64 5/6 (-.f64 (/.f64 (/.f64 1/27 t) t) (/.f64 2/9 t)))
(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 2 (+.f64 4 (/.f64 -8 t))))
(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))))
(-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (.f64 2/9 (/.f64 1 t)))
(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))))
(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (*.f64 t 12) -8)) 4))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 2 t)))))

Outputs

(-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (*.f64 t t)) t))) (*.f64 2/9 (/.f64 1 t)))

(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 (*.f64 t (+.f64 (*.f64 t 12) -8)) 4))))

(-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (*.f64 t t)) t))) (*.f64 2/9 (/.f64 1 t)))

Calls

1 calls:

70.0ms

Results

Error	Segments	Branch
0.4b	3	`t`

Compiler

Compiled 435 to 344 computations (20.9% saved)

bsearch212.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
110.0ms	0.004648620581173463	1505.9780903201884
101.0ms	-10.621655339931833	-1.2453529134619419e-5

Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes87.0ms (0.5%)

Counts

24 → 3

Calls

Call 1

Inputs
5/6
5/6
1/2
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
(+.f64 5/6 (-.f64 (/.f64 (/.f64 1/27 t) t) (/.f64 2/9 t)))
(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 2 (+.f64 4 (/.f64 -8 t))))
(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))))
(-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (.f64 2/9 (/.f64 1 t)))
(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))))
(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))

Outputs

(-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (*.f64 t t)) t))) (*.f64 2/9 (/.f64 1 t)))

(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 (*.f64 t t) (+.f64 (*.f64 t -8) 4))))

(-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (*.f64 t t)) t))) (*.f64 2/9 (/.f64 1 t)))

Calls

1 calls:

67.0ms

Results

Error	Segments	Branch
0.4b	3	`t`

Compiler

Compiled 349 to 274 computations (21.5% saved)

bsearch451.0ms (2.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
230.0ms	0.004648620581173463	1505.9780903201884
221.0ms	-10.621655339931833	-1.2453529134619419e-5

Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes85.0ms (0.5%)

Counts

18 → 3

Calls

Call 1

Inputs
5/6
5/6
1/2
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
(+.f64 5/6 (-.f64 (/.f64 (/.f64 1/27 t) t) (/.f64 2/9 t)))
(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 2 (+.f64 4 (/.f64 -8 t))))
(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))))
(-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (.f64 2/9 (/.f64 1 t)))

Outputs

(-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (*.f64 t t)) t))) (*.f64 2/9 (/.f64 1 t)))

(/.f64 (+.f64 1 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))) (+.f64 2 (*.f64 t (*.f64 t 4))))

(-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (*.f64 t t)) t))) (*.f64 2/9 (/.f64 1 t)))

Calls

1 calls:

75.0ms

Results

Error	Segments	Branch
0.5b	3	`t`

Compiler

Compiled 153 to 119 computations (22.2% saved)

bsearch213.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
57.0ms	0.004648620581173463	1505.9780903201884
155.0ms	-10.621655339931833	-1.2453529134619419e-5

Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes49.0ms (0.3%)

Counts

17 → 3

Calls

Call 1

Inputs
5/6
5/6
1/2
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
(+.f64 5/6 (-.f64 (/.f64 (/.f64 1/27 t) t) (/.f64 2/9 t)))
(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 2 (+.f64 4 (/.f64 -8 t))))
(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))))

Outputs
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 t (*.f64 t 4))))
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))

Calls

1 calls:

44.0ms

Results

Error	Segments	Branch
0.6b	3	`t`

Compiler

Compiled 132 to 105 computations (20.5% saved)

bsearch135.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
63.0ms	0.004648620581173463	1505.9780903201884
72.0ms	-10.621655339931833	-1.2453529134619419e-5

Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes145.0ms (0.9%)

Counts

15 → 3

Calls

Call 1

Inputs
5/6
5/6
1/2
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
(+.f64 5/6 (-.f64 (/.f64 (/.f64 1/27 t) t) (/.f64 2/9 t)))
(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 2 (+.f64 4 (/.f64 -8 t))))

Outputs
(+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
1/2
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))

Calls

1 calls:

22.0ms

Results

Error	Segments	Branch
0.7b	3	`t`

Compiler

Compiled 94 to 78 computations (17% saved)

bsearch178.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
99.0ms	0.004648620581173463	1505.9780903201884
78.0ms	-10.621655339931833	-1.2453529134619419e-5

Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes36.0ms (0.2%)

Counts

12 → 3

Calls

Call 1

Inputs
5/6
5/6
1/2
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)

Outputs
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))
1/2
(-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))

Calls

1 calls:

34.0ms

Results

Error	Segments	Branch
0.7b	3	`t`

Compiler

Compiled 57 to 49 computations (14% saved)

bsearch141.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
59.0ms	0.004648620581173463	1505.9780903201884
81.0ms	-10.621655339931833	-1.2453529134619419e-5

Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes51.0ms (0.3%)

Counts

10 → 3

Calls

Call 1

Inputs
5/6
5/6
1/2
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))

Outputs
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
1/2
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)

Calls

1 calls:

49.0ms

Results

Error	Segments	Branch
0.9b	3	`t`

Compiler

Compiled 39 to 34 computations (12.8% saved)

bsearch103.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
50.0ms	0.004648620581173463	1505.9780903201884
53.0ms	-10.621655339931833	-1.2453529134619419e-5

Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes22.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

Inputs
5/6
5/6
1/2
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)

Outputs
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
1/2
(+.f64 5/6 (/.f64 -2/9 t))

Calls

1 calls:

17.0ms

Results

Error	Segments	Branch
0.9b	3	`t`

Compiler

Compiled 23 to 20 computations (13% saved)

bsearch102.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
49.0ms	0.004648620581173463	1505.9780903201884
53.0ms	-10.621655339931833	-1.2453529134619419e-5

Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes16.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

Inputs
5/6
5/6
1/2
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))

Outputs
(+.f64 5/6 (/.f64 -2/9 t))
1/2
(+.f64 5/6 (/.f64 -2/9 t))

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
0.9b	3	`t`

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch135.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
48.0ms	0.004648620581173463	1505.9780903201884
86.0ms	-10.621655339931833	-1.2453529134619419e-5

Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes15.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

Inputs
5/6
5/6
1/2
5/6
1/2
(-.f64 11/6 1)

Outputs
5/6
1/2
5/6

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
1.9b	3	`t`

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch238.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
69.0ms	0.004648620581173463	1505.9780903201884
169.0ms	-10.621655339931833	-1.2453529134619419e-5

Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
5/6
5/6

Outputs
5/6

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
24.7b	1	`t`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify97.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

33×	`+-commutative_binary64`
19×	`*-commutative_binary64`
16×	`sub-neg_binary64`
11×	`cancel-sign-sub-inv_binary64`
11×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	719
1	145	719
2	175	719
3	201	719
4	224	719
5	238	719
6	242	719
7	247	719
8	257	719
9	262	719

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
(if (<=.f64 t -5979460378871855/562949953421312) (-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (.f64 2/9 (/.f64 1 t))) (if (<=.f64 t 167484207337277/36028797018963968) (/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4)))) (-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (*.f64 2/9 (/.f64 1 t)))))
(if (<=.f64 t -5979460378871855/562949953421312) (-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (.f64 2/9 (/.f64 1 t))) (if (<=.f64 t 167484207337277/36028797018963968) (/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4)))) (-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (.f64 2/9 (/.f64 1 t)))))
(if (<=.f64 t -5979460378871855/562949953421312) (-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (.f64 2/9 (/.f64 1 t))) (if (<=.f64 t 167484207337277/36028797018963968) (/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 t (.f64 t 4)))) (-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (*.f64 2/9 (/.f64 1 t)))))
(if (<=.f64 t -5979460378871855/562949953421312) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (.f64 t t))) (if (<=.f64 t 167484207337277/36028797018963968) (/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 t (.f64 t 4)))) (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))))
(if (<=.f64 t -5979460378871855/562949953421312) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t))) (if (<=.f64 t 167484207337277/36028797018963968) 1/2 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))))
(if (<=.f64 t -5979460378871855/562949953421312) (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)) (if (<=.f64 t 167484207337277/36028797018963968) 1/2 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))))
(if (<=.f64 t -5979460378871855/562949953421312) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 167484207337277/36028797018963968) 1/2 (+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)))
(if (<=.f64 t -5979460378871855/562949953421312) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 167484207337277/36028797018963968) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -5979460378871855/562949953421312) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 167484207337277/36028797018963968) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -5979460378871855/562949953421312) 5/6 (if (<=.f64 t 167484207337277/36028797018963968) 1/2 5/6))
5/6

Outputs
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
(/.f64 (+.f64 1 (.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))
(if (<=.f64 t -5979460378871855/562949953421312) (-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (.f64 2/9 (/.f64 1 t))) (if (<=.f64 t 167484207337277/36028797018963968) (/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4)))) (-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (*.f64 2/9 (/.f64 1 t)))))
(if (<=.f64 t -5979460378871855/562949953421312) (+.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (.f64 -2/9 (/.f64 1 t))) (if (<=.f64 t 167484207337277/36028797018963968) (/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4)))) (+.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (*.f64 -2/9 (/.f64 1 t)))))
(if (<=.f64 t -5979460378871855/562949953421312) (+.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (.f64 (/.f64 1 t) -2/9)) (if (<=.f64 t 167484207337277/36028797018963968) (/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4)))) (+.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (*.f64 (/.f64 1 t) -2/9))))
(if (<=.f64 t -5979460378871855/562949953421312) (+.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (.f64 (/.f64 1 t) -2/9)) (if (<=.f64 t 167484207337277/36028797018963968) (/.f64 (+.f64 1 (.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4)))) (+.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (*.f64 (/.f64 1 t) -2/9))))
(if (<=.f64 t -5979460378871855/562949953421312) (-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (.f64 2/9 (/.f64 1 t))) (if (<=.f64 t 167484207337277/36028797018963968) (/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4)))) (-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (.f64 2/9 (/.f64 1 t)))))
(if (<=.f64 t -5979460378871855/562949953421312) (+.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (.f64 -2/9 (/.f64 1 t))) (if (<=.f64 t 167484207337277/36028797018963968) (/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8))))) (+.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (.f64 -2/9 (/.f64 1 t)))))
(if (<=.f64 t -5979460378871855/562949953421312) (+.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (.f64 (/.f64 1 t) -2/9)) (if (<=.f64 t 167484207337277/36028797018963968) (/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8))))) (+.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (.f64 (/.f64 1 t) -2/9))))
(if (<=.f64 t -5979460378871855/562949953421312) (-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (.f64 2/9 (/.f64 1 t))) (if (<=.f64 t 167484207337277/36028797018963968) (/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 t (.f64 t 4)))) (-.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (*.f64 2/9 (/.f64 1 t)))))
(if (<=.f64 t -5979460378871855/562949953421312) (+.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (.f64 -2/9 (/.f64 1 t))) (if (<=.f64 t 167484207337277/36028797018963968) (/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 t (.f64 t 4)))) (+.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (*.f64 -2/9 (/.f64 1 t)))))
(if (<=.f64 t -5979460378871855/562949953421312) (+.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (.f64 (/.f64 1 t) -2/9)) (if (<=.f64 t 167484207337277/36028797018963968) (/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 t (.f64 t 4)))) (+.f64 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 5/6 (/.f64 (/.f64 4/81 (.f64 t t)) t))) (*.f64 (/.f64 1 t) -2/9))))
(if (<=.f64 t -5979460378871855/562949953421312) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (.f64 t t))) (if (<=.f64 t 167484207337277/36028797018963968) (/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 t (.f64 t 4)))) (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))))
(if (<=.f64 t -5979460378871855/562949953421312) (+.f64 (/.f64 1/27 (.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) (if (<=.f64 t 167484207337277/36028797018963968) (/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 t (.f64 t 4)))) (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))))
(if (<=.f64 t -5979460378871855/562949953421312) (+.f64 (/.f64 1/27 (.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) (if (<=.f64 t 167484207337277/36028797018963968) (/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 t (.f64 t 4)))) (+.f64 5/6 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t))))
(if (<=.f64 t -5979460378871855/562949953421312) (+.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t))) (if (<=.f64 t 167484207337277/36028797018963968) 1/2 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))))
(if (<=.f64 t -5979460378871855/562949953421312) (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) (if (<=.f64 t 167484207337277/36028797018963968) 1/2 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))))
(if (<=.f64 t -5979460378871855/562949953421312) (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) (if (<=.f64 t 167484207337277/36028797018963968) 1/2 (+.f64 5/6 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t))))
(if (<=.f64 t -5979460378871855/562949953421312) (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t)) (if (<=.f64 t 167484207337277/36028797018963968) 1/2 (-.f64 5/6 (/.f64 (-.f64 2/9 (/.f64 1/27 t)) t))))
(if (<=.f64 t -5979460378871855/562949953421312) (+.f64 5/6 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t)) (if (<=.f64 t 167484207337277/36028797018963968) 1/2 (+.f64 5/6 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t))))
(if (<=.f64 t -5979460378871855/562949953421312) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 167484207337277/36028797018963968) 1/2 (+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)))
(if (<=.f64 t -5979460378871855/562949953421312) (+.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6) (if (<=.f64 t 167484207337277/36028797018963968) 1/2 (+.f64 1 (+.f64 (/.f64 -2/9 t) -1/6))))
(if (<=.f64 t -5979460378871855/562949953421312) (+.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6) (if (<=.f64 t 167484207337277/36028797018963968) 1/2 (+.f64 1 (-.f64 -1/6 (/.f64 2/9 t)))))
(if (<=.f64 t -5979460378871855/562949953421312) (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6) (if (<=.f64 t 167484207337277/36028797018963968) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -5979460378871855/562949953421312) (+.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6) (if (<=.f64 t 167484207337277/36028797018963968) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -5979460378871855/562949953421312) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 167484207337277/36028797018963968) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -5979460378871855/562949953421312) 5/6 (if (<=.f64 t 167484207337277/36028797018963968) 1/2 5/6))
5/6

Compiler

Compiled 504 to 387 computations (23.2% saved)

soundness394.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

976×	`fma-def_binary64`
668×	`div-sub_binary64`
343×	`unsub-neg_binary64`
342×	`times-frac_binary64`
289×	`associate-/l*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	76
1	22	72
2	42	72
3	117	48
4	364	48
5	1554	42
6	5619	42

Stop Event

1×	node limit

Compiler

Compiled 4574 to 3892 computations (14.9% saved)

end329.0ms (2%)

Compiler: Compiled 492 to 371 computations (24.6% saved)

Iter	Nodes	Cost
0	98	719
1	145	719
2	175	719
3	201	719
4	224	719
5	238	719
6	242	719
7	247	719
8	257	719
9	262	719

Iter	Nodes	Cost
0	98	719
1	145	719
2	175	719
3	201	719
4	224	719
5	238	719
6	242	719
7	247	719
8	257	719
9	262	719

Iter	Nodes	Cost
0	98	719
1	145	719
2	175	719
3	201	719
4	224	719
5	238	719
6	242	719
7	247	719
8	257	719
9	262	719