Details

analyze591.0ms (4.2%)

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)

sample3.3s (23.7%)

Results

3.3s

8256×

body

256

valid

Bogosity

preprocess63.0ms (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)

simplify49.0ms (0.3%)

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)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	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)))))))

Status

Error

Program

▶

(/.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)))))))

Compiler

Compiled 52 to 44 computations (15.4% saved)

localize73.0ms (0.5%)

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 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))
✓	0.0b	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
✓	0.0b	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
✓	2.5b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

Compiler

Compiled 159 to 131 computations (17.6% saved)

series10.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite174.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`log-prod_binary64`
332×	`pow2_binary64`
291×	`fma-def_binary64`
274×	`prod-diff_binary64`
252×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	70
1	261	70
2	3758	70

Stop Event

1×	node limit

Counts

4 → 162

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

simplify124.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

429×	`distribute-lft-out_binary64`
428×	`distribute-rgt-out_binary64`
427×	`fma-def_binary64`
371×	`sub-neg_binary64`
336×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	79	657
1	242	653
2	677	632
3	1932	621
4	5032	606

Stop Event

1×	node limit

Counts

210 → 217

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)))))
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)))))
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)))))

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 (.f64 t t) (.f64 2 t))
(*.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 (.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 (fma.f64 -2 (.f64 t t) (fma.f64 2 (pow.f64 t 3) (.f64 -2 (pow.f64 t 4)))))
(fma.f64 -2 (fma.f64 t t (pow.f64 t 4)) (*.f64 2 (+.f64 (pow.f64 t 3) t)))
(.f64 (+.f64 (.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 t)) (/.f64 2 (*.f64 t 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 2 (-.f64 (/.f64 2 (*.f64 t t)) (+.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 t)) (/.f64 2 (*.f64 t 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 2 (-.f64 (/.f64 2 (*.f64 t t)) (+.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 (pow.f64 t 3) -8 (.f64 t (.f64 t 4)))
(.f64 (.f64 t 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 (pow.f64 t 4) 12 (.f64 t (.f64 t 4))))
(fma.f64 (pow.f64 t 4) 12 (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))
(.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 (.f64 t 12) -8))))
(+.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 (pow.f64 t 4) 12 (.f64 t (.f64 t 4)))))
(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 4 (.f64 t (+.f64 (.f64 t 12) -8)))))
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 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 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 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)))))
(+.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 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 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 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)))))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))))
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 (fma.f64 t -2 2) (.f64 2 (.f64 t t)))
(fma.f64 2 (*.f64 t t) (fma.f64 t -2 2))
(+.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)))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 (fma.f64 t -2 2) (.f64 2 (.f64 t t))))
(+.f64 (fma.f64 t -2 2) (.f64 t (.f64 t (fma.f64 t -2 2))))
(.f64 (+.f64 (.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 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 -2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.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 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))) (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 (pow.f64 t 4))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t))) (/.f64 2 (pow.f64 t 4))))
(+.f64 (/.f64 2 t) (+.f64 (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (pow.f64 t 4))) (/.f64 -2 (*.f64 t t))))
(+.f64 (-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t))) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 -2 (pow.f64 t 4))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 (/.f64 -2 t) t) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.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 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 -2 (*.f64 t t))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.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 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))) (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 (pow.f64 t 4))))
(+.f64 (/.f64 2 (pow.f64 t 3)) (-.f64 (+.f64 (/.f64 2 t) (/.f64 -2 (*.f64 t t))) (/.f64 2 (pow.f64 t 4))))
(+.f64 (/.f64 2 t) (+.f64 (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 2 (pow.f64 t 4))) (/.f64 -2 (*.f64 t t))))
(+.f64 (-.f64 (/.f64 2 t) (/.f64 2 (*.f64 t t))) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 -2 (pow.f64 t 4))))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 (/.f64 -2 t) t) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 -2 (pow.f64 t 4)))))
2
(+.f64 2 (*.f64 4 (pow.f64 t 2)))
(+.f64 2 (.f64 (.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 2)
(fma.f64 t (*.f64 t 4) 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 (.f64 t t) 4)))
(+.f64 2 (fma.f64 (pow.f64 t 3) -8 (.f64 t (.f64 t 4))))
(fma.f64 t (*.f64 t 4) (fma.f64 (pow.f64 t 3) -8 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 12 (pow.f64 t 4) (.f64 (.f64 t t) 4))))
(+.f64 2 (fma.f64 (pow.f64 t 3) -8 (fma.f64 (pow.f64 t 4) 12 (.f64 t (.f64 t 4)))))
(+.f64 2 (fma.f64 (pow.f64 t 4) 12 (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))))
(+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 (.f64 t 12) -8)))))
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 (/.f64 (/.f64 12 t) t) (+.f64 6 (/.f64 -8 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 6 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (+.f64 6 (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 6 (-.f64 (/.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 (/.f64 (/.f64 12 t) t) (+.f64 6 (/.f64 -8 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 6 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (+.f64 6 (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 6 (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))))

eval2.3s (15.9%)

Compiler: Compiled 34837 to 29524 computations (15.3% saved)

prune166.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	614	7	621
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	614	8	622

Error

Counts

622 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	31.0b	(/.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 4 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)))))
	30.9b	(/.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 4 (.f64 t (+.f64 (*.f64 t 12) -8))))))
▶	30.8b	(/.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))))
✓	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)))))))
▶	31.0b	(/.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 (/.f64 (/.f64 12 t) t) (+.f64 6 (/.f64 -8 t))))
▶	31.3b	(/.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 6 (/.f64 -8 t)))
▶	27.2b	(/.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)))))) 6)
▶	31.1b	(/.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 4 (.f64 t -8)))))

Compiler

Compiled 556 to 460 computations (17.3% saved)

localize45.0ms (0.3%)

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)))))) 6)
	0.0b	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
	2.5b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

Compiler

Compiled 111 to 91 computations (18% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
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)))))) 6)
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)))))) 6)
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)))))) 6)

Time

Variable

Point

Expression

1.0ms

(/.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)))))) 6)

0.0ms

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)))))) 6)

0.0ms

-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)))))) 6)

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

677×	`log-prod_binary64`
389×	`prod-diff_binary64`
344×	`fma-def_binary64`
295×	`log-div_binary64`
261×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	309	25
2	4336	25

Stop Event

1×	node limit

Counts

1 → 28

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)))))) 6)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 1/6)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 1/6)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 1/6))))))) (#(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)) 1/6))) 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)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1/6)))) (#(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)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.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))) 1/6))))) (#(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)) 1/6)) (pow.f64 (cbrt.f64 (.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1/6)) 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)) 1/6)) 2) (cbrt.f64 (.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1/6)))))) (#(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))))) 1/6))))) (#(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 1/6)) (.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (sqrt.f64 1/6)))))) (#(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))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/6 (+.f64 1 (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 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1/6) 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)) 1/6) 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)) 1/6)) 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 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (+.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)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 1/6))))) (#(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)) 1/6))))))) (#(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)) 1/6) 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)) 1/6)))))) (#(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)) 1/6)))))) (#(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 1/6)))))) (#(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 1/6)) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 1/6)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 1/6)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 1/6))))))) (#(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)) 1/6))) 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)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1/6)))) (#(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)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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))) 1/6))))) (#(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)) 1/6)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1/6)) 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)) 1/6)) 2) (cbrt.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1/6)))))) (#(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))))) 1/6))))) (#(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 1/6)) (*.f64 (hypot.f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) (sqrt.f64 1/6)))))) (#(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))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (+.f64 1 (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 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 1/6) 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)) 1/6) 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)) 1/6)) 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 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (+.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)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) 2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))) 1/6))))) (#(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)) 1/6))))))) (#(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)) 1/6) 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)) 1/6)))))) (#(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)) 1/6)))))) (#(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 1/6)))))) (#(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 1/6)) 1))))))

simplify49.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

917×	`fma-def_binary64`
805×	`unswap-sqr_binary64`
530×	`associate-/r*_binary64`
334×	`times-frac_binary64`
201×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	150
1	90	146
2	227	144
3	645	138
4	2019	135
5	6328	135

Stop Event

1×	node limit

Counts

40 → 42

Calls

Call 1

Inputs
1/6
(+.f64 1/6 (*.f64 2/3 (pow.f64 t 2)))
(+.f64 (.f64 -4/3 (pow.f64 t 3)) (+.f64 1/6 (.f64 2/3 (pow.f64 t 2))))
(+.f64 (.f64 -4/3 (pow.f64 t 3)) (+.f64 1/6 (+.f64 (.f64 2/3 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 4)))))
5/6
(-.f64 5/6 (*.f64 4/3 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (.f64 4/3 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 4/3 (/.f64 1 t)) (*.f64 8/3 (/.f64 1 (pow.f64 t 3)))))
5/6
(-.f64 5/6 (*.f64 4/3 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (.f64 4/3 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 4/3 (/.f64 1 t)) (*.f64 8/3 (/.f64 1 (pow.f64 t 3)))))

Outputs
1/6
(+.f64 1/6 (*.f64 2/3 (pow.f64 t 2)))
(+.f64 1/6 (.f64 2/3 (.f64 t t)))
(fma.f64 2/3 (*.f64 t t) 1/6)
(+.f64 (.f64 -4/3 (pow.f64 t 3)) (+.f64 1/6 (.f64 2/3 (pow.f64 t 2))))
(fma.f64 -4/3 (pow.f64 t 3) (+.f64 1/6 (.f64 2/3 (.f64 t t))))
(fma.f64 -4/3 (pow.f64 t 3) (fma.f64 2/3 (*.f64 t t) 1/6))
(fma.f64 2/3 (*.f64 t t) (fma.f64 -4/3 (pow.f64 t 3) 1/6))
(fma.f64 t (*.f64 t (fma.f64 t -4/3 2/3)) 1/6)
(+.f64 (.f64 -4/3 (pow.f64 t 3)) (+.f64 1/6 (+.f64 (.f64 2/3 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 4)))))
(fma.f64 -4/3 (pow.f64 t 3) (+.f64 1/6 (fma.f64 2/3 (.f64 t t) (.f64 2 (pow.f64 t 4)))))
(+.f64 (fma.f64 2/3 (.f64 t t) (.f64 2 (pow.f64 t 4))) (fma.f64 -4/3 (pow.f64 t 3) 1/6))
(fma.f64 -4/3 (pow.f64 t 3) (fma.f64 2/3 (*.f64 t t) (fma.f64 2 (pow.f64 t 4) 1/6)))
(fma.f64 t (*.f64 t (fma.f64 t -4/3 2/3)) (fma.f64 2 (pow.f64 t 4) 1/6))
(fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 2 -4/3) 2/3) 1/6)
5/6
(-.f64 5/6 (*.f64 4/3 (/.f64 1 t)))
(-.f64 5/6 (/.f64 4/3 t))
(+.f64 5/6 (/.f64 -4/3 t))
(-.f64 (+.f64 5/6 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (.f64 4/3 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (/.f64 2 (*.f64 t t))) (/.f64 4/3 t))
(+.f64 (/.f64 2 (*.f64 t t)) (-.f64 5/6 (/.f64 4/3 t)))
(+.f64 5/6 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -4/3 t)))
(+.f64 5/6 (+.f64 (/.f64 (/.f64 2 t) t) (/.f64 -4/3 t)))
(-.f64 (+.f64 5/6 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 4/3 (/.f64 1 t)) (*.f64 8/3 (/.f64 1 (pow.f64 t 3)))))
(+.f64 5/6 (-.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 4/3 t) (/.f64 8/3 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 2 (*.f64 t t)) (-.f64 (/.f64 -4/3 t) (/.f64 8/3 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -4/3 t) (/.f64 -8/3 (pow.f64 t 3)))))
(+.f64 (/.f64 (/.f64 2 t) t) (+.f64 (-.f64 5/6 (/.f64 4/3 t)) (/.f64 -8/3 (pow.f64 t 3))))
5/6
(-.f64 5/6 (*.f64 4/3 (/.f64 1 t)))
(-.f64 5/6 (/.f64 4/3 t))
(+.f64 5/6 (/.f64 -4/3 t))
(-.f64 (+.f64 5/6 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (.f64 4/3 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (/.f64 2 (*.f64 t t))) (/.f64 4/3 t))
(+.f64 (/.f64 2 (*.f64 t t)) (-.f64 5/6 (/.f64 4/3 t)))
(+.f64 5/6 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -4/3 t)))
(+.f64 5/6 (+.f64 (/.f64 (/.f64 2 t) t) (/.f64 -4/3 t)))
(-.f64 (+.f64 5/6 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 4/3 (/.f64 1 t)) (*.f64 8/3 (/.f64 1 (pow.f64 t 3)))))
(+.f64 5/6 (-.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 4/3 t) (/.f64 8/3 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 2 (*.f64 t t)) (-.f64 (/.f64 -4/3 t) (/.f64 8/3 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -4/3 t) (/.f64 -8/3 (pow.f64 t 3)))))
(+.f64 (/.f64 (/.f64 2 t) t) (+.f64 (-.f64 5/6 (/.f64 4/3 t)) (/.f64 -8/3 (pow.f64 t 3))))

localize44.0ms (0.3%)

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 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 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 6 (/.f64 -8 t)))
	2.5b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

Compiler

Compiled 124 to 101 computations (18.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(/.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 6 (/.f64 -8 t)))

0.0ms

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 6 (/.f64 -8 t)))

0.0ms

-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 6 (/.f64 -8 t)))

rewrite74.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

490×	`prod-diff_binary64`
422×	`fma-def_binary64`
324×	`expm1-udef_binary64`
324×	`log1p-udef_binary64`
205×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	31
1	382	31
2	5445	31

Stop Event

1×	node limit

Counts

1 → 35

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 6 (/.f64 -8 t)))

Outputs

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

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

805×	`unswap-sqr_binary64`
750×	`distribute-neg-frac_binary64`
534×	`associate-/r*_binary64`
363×	`fma-def_binary64`
334×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	156
1	95	156
2	234	153
3	654	145
4	2186	145
5	6013	145

Stop Event

1×	node limit

Counts

47 → 49

Calls

Call 1

Inputs
(*.f64 -1/8 t)
(+.f64 (.f64 -3/32 (pow.f64 t 2)) (.f64 -1/8 t))
(+.f64 (.f64 -3/32 (pow.f64 t 2)) (+.f64 (.f64 -73/128 (pow.f64 t 3)) (*.f64 -1/8 t)))
(+.f64 (.f64 293/512 (pow.f64 t 4)) (+.f64 (.f64 -3/32 (pow.f64 t 2)) (+.f64 (.f64 -73/128 (pow.f64 t 3)) (.f64 -1/8 t))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 32/81 (/.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 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 32/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t))))

Outputs
(*.f64 -1/8 t)
(+.f64 (.f64 -3/32 (pow.f64 t 2)) (.f64 -1/8 t))
(fma.f64 -3/32 (.f64 t t) (.f64 -1/8 t))
(fma.f64 -1/8 t (.f64 -3/32 (.f64 t t)))
(.f64 t (+.f64 -1/8 (.f64 t -3/32)))
(*.f64 t (fma.f64 t -3/32 -1/8))
(+.f64 (.f64 -3/32 (pow.f64 t 2)) (+.f64 (.f64 -73/128 (pow.f64 t 3)) (*.f64 -1/8 t)))
(fma.f64 -3/32 (.f64 t t) (fma.f64 -73/128 (pow.f64 t 3) (.f64 -1/8 t)))
(fma.f64 -3/32 (.f64 t t) (fma.f64 -1/8 t (.f64 -73/128 (pow.f64 t 3))))
(fma.f64 -73/128 (pow.f64 t 3) (.f64 t (+.f64 -1/8 (.f64 t -3/32))))
(.f64 t (+.f64 -1/8 (.f64 t (fma.f64 t -73/128 -3/32))))
(+.f64 (.f64 293/512 (pow.f64 t 4)) (+.f64 (.f64 -3/32 (pow.f64 t 2)) (+.f64 (.f64 -73/128 (pow.f64 t 3)) (.f64 -1/8 t))))
(fma.f64 293/512 (pow.f64 t 4) (fma.f64 -3/32 (.f64 t t) (fma.f64 -73/128 (pow.f64 t 3) (.f64 -1/8 t))))
(fma.f64 293/512 (pow.f64 t 4) (fma.f64 -3/32 (.f64 t t) (fma.f64 -1/8 t (.f64 -73/128 (pow.f64 t 3)))))
(fma.f64 293/512 (pow.f64 t 4) (fma.f64 -73/128 (pow.f64 t 3) (.f64 t (+.f64 -1/8 (.f64 t -3/32)))))
(fma.f64 293/512 (pow.f64 t 4) (.f64 t (+.f64 -1/8 (.f64 t (fma.f64 t -73/128 -3/32)))))
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 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 46/27 (*.f64 t t)))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 32/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t))))
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) (/.f64 32/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (+.f64 (/.f64 -2/9 t) (/.f64 -32/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (-.f64 (/.f64 -2/9 t) (/.f64 32/81 (pow.f64 t 3)))))
(-.f64 (/.f64 -32/81 (pow.f64 t 3)) (+.f64 (-.f64 -5/6 (/.f64 -2/9 t)) (/.f64 -46/27 (*.f64 t 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 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 46/27 (*.f64 t t)))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 32/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t))))
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) (/.f64 32/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (+.f64 (/.f64 -2/9 t) (/.f64 -32/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (-.f64 (/.f64 -2/9 t) (/.f64 32/81 (pow.f64 t 3)))))
(-.f64 (/.f64 -32/81 (pow.f64 t 3)) (+.f64 (-.f64 -5/6 (/.f64 -2/9 t)) (/.f64 -46/27 (*.f64 t t))))

localize47.0ms (0.3%)

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 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 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))))
	2.5b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

Compiler

Compiled 132 to 105 computations (20.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

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 t (*.f64 t 4))))

1.0ms

(/.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 t (*.f64 t 4))))

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

551×	`prod-diff_binary64`
463×	`fma-def_binary64`
324×	`expm1-udef_binary64`
324×	`log1p-udef_binary64`
219×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	375	32
2	5428	32

Stop Event

1×	node limit

Counts

1 → 35

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

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

589×	`times-frac_binary64`
412×	`distribute-rgt-neg-in_binary64`
370×	`associate-/l/_binary64`
324×	`fma-def_binary64`
311×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	207
1	102	205
2	256	201
3	697	201
4	2320	201
5	6912	201

Stop Event

1×	node limit

Counts

47 → 50

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (+.f64 (*.f64 -4 (pow.f64 t 3)) (pow.f64 t 2)))
(+.f64 1/2 (+.f64 (.f64 4 (pow.f64 t 4)) (+.f64 (.f64 -4 (pow.f64 t 3)) (pow.f64 t 2))))
(/.f64 5/4 (pow.f64 t 2))
(-.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 t 5))) (.f64 2 (/.f64 1 (pow.f64 t 3)))))
(/.f64 5/4 (pow.f64 t 2))
(-.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 t 5))) (.f64 2 (/.f64 1 (pow.f64 t 3)))))

Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 1/2 (+.f64 (*.f64 -4 (pow.f64 t 3)) (pow.f64 t 2)))
(+.f64 1/2 (fma.f64 -4 (pow.f64 t 3) (*.f64 t t)))
(+.f64 1/2 (fma.f64 t t (*.f64 -4 (pow.f64 t 3))))
(fma.f64 t t (fma.f64 -4 (pow.f64 t 3) 1/2))
(fma.f64 (fma.f64 t -4 1) (*.f64 t t) 1/2)
(+.f64 1/2 (+.f64 (.f64 4 (pow.f64 t 4)) (+.f64 (.f64 -4 (pow.f64 t 3)) (pow.f64 t 2))))
(+.f64 1/2 (fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (*.f64 t t))))
(+.f64 1/2 (fma.f64 4 (pow.f64 t 4) (fma.f64 t t (*.f64 -4 (pow.f64 t 3)))))
(fma.f64 4 (pow.f64 t 4) (fma.f64 t t (fma.f64 -4 (pow.f64 t 3) 1/2)))
(fma.f64 t (*.f64 (fma.f64 t -4 1) t) (fma.f64 4 (pow.f64 t 4) 1/2))
(fma.f64 t (*.f64 t (fma.f64 t -4 1)) (fma.f64 4 (pow.f64 t 4) 1/2))
(/.f64 5/4 (pow.f64 t 2))
(/.f64 5/4 (*.f64 t t))
(-.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 2 (pow.f64 t 3)))
(+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 -2 (pow.f64 t 3)))
(-.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 -5/4 (*.f64 t t)))
(-.f64 (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 2 (pow.f64 t 3))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 -2 (pow.f64 t 3))))
(-.f64 (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 t 5))) (.f64 2 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (/.f64 19/8 (pow.f64 t 4)) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5)))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (-.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 2 (pow.f64 t 3))) (/.f64 3 (pow.f64 t 5))))
(+.f64 (+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 19/8 (pow.f64 t 4))) (-.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (-.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5)))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (+.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 -3 (pow.f64 t 5)))))
(/.f64 5/4 (pow.f64 t 2))
(/.f64 5/4 (*.f64 t t))
(-.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 2 (pow.f64 t 3)))
(+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 -2 (pow.f64 t 3)))
(-.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 -5/4 (*.f64 t t)))
(-.f64 (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 2 (pow.f64 t 3))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 -2 (pow.f64 t 3))))
(-.f64 (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 t 5))) (.f64 2 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (/.f64 19/8 (pow.f64 t 4)) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5)))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (-.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 2 (pow.f64 t 3))) (/.f64 3 (pow.f64 t 5))))
(+.f64 (+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 19/8 (pow.f64 t 4))) (-.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (-.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5)))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (+.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 -3 (pow.f64 t 5)))))

localize53.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.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 4 (*.f64 t -8)))
✓	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 4 (.f64 t -8)))))
	2.5b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

Compiler

Compiled 153 to 117 computations (23.5% saved)

series4.0ms (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 4 (.f64 t -8)))))
1.0ms	t	@	inf	(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
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 4 (.f64 t -8)))))
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 4 (.f64 t -8)))))
1.0ms	t	@	0	(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))

rewrite108.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`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	53
1	451	47
2	6594	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 4 (*.f64 t -8)))))

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

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

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

simplify44.0ms (0.3%)

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))

localize89.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.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 12 t) t)
✓	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 (/.f64 (/.f64 12 t) t) (+.f64 6 (/.f64 -8 t))))
	2.5b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

Compiler

Compiled 150 to 119 computations (20.7% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(/.f64 (/.f64 12 t) t)
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 (/.f64 (/.f64 12 t) t) (+.f64 6 (/.f64 -8 t))))
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 (/.f64 (/.f64 12 t) t) (+.f64 6 (/.f64 -8 t))))
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 (/.f64 (/.f64 12 t) t) (+.f64 6 (/.f64 -8 t))))
0.0ms	t	@	inf	(/.f64 (/.f64 12 t) t)

rewrite90.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

414×	`expm1-udef_binary64`
414×	`log1p-udef_binary64`
244×	`add-sqr-sqrt_binary64`
232×	`pow1_binary64`
231×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	47
1	485	47
2	7242	47

Stop Event

1×	node limit

Counts

2 → 72

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 (/.f64 (/.f64 12 t) t) (+.f64 6 (/.f64 -8 t))))

(/.f64 (/.f64 12 t) t)

Outputs

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(+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) (+.f64 (*.f64 12 (pow.f64 t -2)) (+.f64 6 (/.f64 -8 t)))) 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)) (+.f64 (*.f64 12 (pow.f64 t -2)) (+.f64 6 (/.f64 -8 t))))) 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))))) (hypot.f64 (sqrt.f64 (+.f64 6 (/.f64 -8 t))) (/.f64 (sqrt.f64 12) t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (*.f64 12 (pow.f64 t -2)) (+.f64 6 (/.f64 -8 t))) (+.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 (+.f64 (*.f64 12 (pow.f64 t -2)) (+.f64 6 (/.f64 -8 t))))))))) (#(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)) (+.f64 (*.f64 12 (pow.f64 t -2)) (+.f64 6 (/.f64 -8 t)))) 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)) (+.f64 (*.f64 12 (pow.f64 t -2)) (+.f64 6 (/.f64 -8 t))))))))) (#(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)) (+.f64 (*.f64 12 (pow.f64 t -2)) (+.f64 6 (/.f64 -8 t)))))))))) (#(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)) (+.f64 (*.f64 12 (pow.f64 t -2)) (+.f64 6 (/.f64 -8 t)))) 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 (+.f64 (*.f64 12 (pow.f64 t -2)) (+.f64 6 (/.f64 -8 t))) 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)) (+.f64 (*.f64 12 (pow.f64 t -2)) (+.f64 6 (/.f64 -8 t))))))))) (#(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)) (+.f64 (*.f64 12 (pow.f64 t -2)) (+.f64 6 (/.f64 -8 t))))))))) (#(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 (+.f64 (*.f64 12 (pow.f64 t -2)) (+.f64 6 (/.f64 -8 t))))))))) (#(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 (+.f64 (*.f64 12 (pow.f64 t -2)) (+.f64 6 (/.f64 -8 t))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 12 (pow.f64 t -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 12 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (/.f64 12 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 12 (pow.f64 t -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 12 t) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 12 (pow.f64 t -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 12 (pow.f64 t -2))) (pow.f64 (cbrt.f64 (*.f64 12 (pow.f64 t -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 12 (pow.f64 t -2))) 2) (cbrt.f64 (*.f64 12 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 144 (pow.f64 t -2))) (*.f64 (cbrt.f64 (/.f64 12 t)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -1/2) (/.f64 (/.f64 12 t) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 12) t) (/.f64 (sqrt.f64 12) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 12 t)) (*.f64 (sqrt.f64 (/.f64 12 t)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -12 t) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 144 (pow.f64 t -2))) 1) (/.f64 (cbrt.f64 (/.f64 12 t)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 12 t)) 1) (/.f64 (sqrt.f64 (/.f64 12 t)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (/.f64 12 t) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 12 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (/.f64 1 t) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 144 (pow.f64 t -2))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (*.f64 12 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 12 t)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (/.f64 12 t)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 12 (sqrt.f64 t)) (/.f64 (/.f64 1 t) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 144 (pow.f64 t -2))) (sqrt.f64 t)) (/.f64 (cbrt.f64 (/.f64 12 t)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 12 t) (cbrt.f64 (pow.f64 t -2))) (/.f64 1 (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 12 t) (pow.f64 t -1/2)) (pow.f64 t -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 12 (pow.f64 t -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 12 (pow.f64 t -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 12) t) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 12 (pow.f64 t -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 t 1/12)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 12 t) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 12 (pow.f64 t -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 12 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 12 (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 12 (pow.f64 t -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 12 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 12 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 12 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 12 (pow.f64 t -2))) 1))))))

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

786×	`distribute-neg-frac_binary64`
588×	`associate-/r*_binary64`
378×	`fma-def_binary64`
334×	`times-frac_binary64`
257×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	252
1	101	252
2	247	249
3	708	243
4	2261	243
5	6139	243

Stop Event

1×	node limit

Counts

96 → 89

Calls

Call 1

Inputs
(*.f64 1/12 (pow.f64 t 2))
(+.f64 (.f64 1/18 (pow.f64 t 3)) (.f64 1/12 (pow.f64 t 2)))
(+.f64 (.f64 1/18 (pow.f64 t 3)) (+.f64 (.f64 1/12 (pow.f64 t 2)) (*.f64 71/216 (pow.f64 t 4))))
(+.f64 (.f64 -77/162 (pow.f64 t 5)) (+.f64 (.f64 1/18 (pow.f64 t 3)) (+.f64 (.f64 1/12 (pow.f64 t 2)) (.f64 71/216 (pow.f64 t 4)))))
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 (.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3)))))
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 (.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3)))))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))

Outputs
(*.f64 1/12 (pow.f64 t 2))
(.f64 1/12 (.f64 t t))
(+.f64 (.f64 1/18 (pow.f64 t 3)) (.f64 1/12 (pow.f64 t 2)))
(fma.f64 1/18 (pow.f64 t 3) (.f64 1/12 (.f64 t t)))
(fma.f64 1/12 (.f64 t t) (.f64 1/18 (pow.f64 t 3)))
(.f64 (.f64 t t) (+.f64 1/12 (*.f64 t 1/18)))
(.f64 t (.f64 t (fma.f64 t 1/18 1/12)))
(+.f64 (.f64 1/18 (pow.f64 t 3)) (+.f64 (.f64 1/12 (pow.f64 t 2)) (*.f64 71/216 (pow.f64 t 4))))
(fma.f64 1/18 (pow.f64 t 3) (fma.f64 1/12 (.f64 t t) (.f64 71/216 (pow.f64 t 4))))
(fma.f64 71/216 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 1/12 (*.f64 t 1/18))))
(fma.f64 t (.f64 t (fma.f64 t 1/18 1/12)) (.f64 71/216 (pow.f64 t 4)))
(+.f64 (.f64 -77/162 (pow.f64 t 5)) (+.f64 (.f64 1/18 (pow.f64 t 3)) (+.f64 (.f64 1/12 (pow.f64 t 2)) (.f64 71/216 (pow.f64 t 4)))))
(fma.f64 -77/162 (pow.f64 t 5) (fma.f64 1/18 (pow.f64 t 3) (fma.f64 1/12 (.f64 t t) (.f64 71/216 (pow.f64 t 4)))))
(fma.f64 -77/162 (pow.f64 t 5) (fma.f64 71/216 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 1/12 (*.f64 t 1/18)))))
(fma.f64 71/216 (pow.f64 t 4) (fma.f64 t (.f64 t (fma.f64 t 1/18 1/12)) (.f64 -77/162 (pow.f64 t 5))))
(fma.f64 t (.f64 t (fma.f64 t 1/18 1/12)) (fma.f64 71/216 (pow.f64 t 4) (.f64 -77/162 (pow.f64 t 5))))
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 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t))))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 176/81 (pow.f64 t 3)))))
(-.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (+.f64 (/.f64 2/9 t) (/.f64 176/81 (pow.f64 t 3))))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 -2/9 t) (/.f64 -176/81 (pow.f64 t 3)))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -176/81 (pow.f64 t 3))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (.f64 (/.f64 1 (.f64 t t)) (-.f64 1/27 (/.f64 176/81 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 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t))))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 176/81 (pow.f64 t 3)))))
(-.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (+.f64 (/.f64 2/9 t) (/.f64 176/81 (pow.f64 t 3))))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 -2/9 t) (/.f64 -176/81 (pow.f64 t 3)))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -176/81 (pow.f64 t 3))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (.f64 (/.f64 1 (.f64 t t)) (-.f64 1/27 (/.f64 176/81 t))))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))

eval1.8s (12.6%)

Compiler: Compiled 54056 to 44903 computations (16.9% saved)

prune233.0ms (1.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	1486	11	1497
Fresh	1	1	2
Picked	1	0	1
Done	4	1	5
Total	1492	13	1505

Error

Counts

1505 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	31.3b	(/.f64 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 2 t)))) (+.f64 6 (/.f64 -8 t)))
▶	31.5b	(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 -1/27 (*.f64 t t))))
	29.7b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))))
▶	26.5b	(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 6 (/.f64 -8 t)))
	30.9b	(/.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 4 (.f64 t (+.f64 (*.f64 t 12) -8))))))
▶	61.7b	(*.f64 -1/8 t)
▶	30.9b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))) (+.f64 2 (.f64 t (.f64 t 4))))
	28.6b	(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t 4))))
▶	31.7b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 t (*.f64 t 4))))
✓	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)))))))
	26.5b	5/6
	26.0b	1/2
	31.4b	(+.f64 5/6 (/.f64 -2/9 t))

Compiler

Compiled 436 to 348 computations (20.2% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 6 (/.f64 -8 t))
✓	0.0b	(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 6 (/.f64 -8 t)))
✓	0.0b	(+.f64 4 (/.f64 -8 t))
✓	0.0b	(+.f64 1 (+.f64 4 (/.f64 -8 t)))

Compiler

Compiled 39 to 32 computations (17.9% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(+.f64 1 (+.f64 4 (/.f64 -8 t)))
0.0ms	t	@	0	(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 6 (/.f64 -8 t)))
0.0ms	t	@	inf	(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 6 (/.f64 -8 t)))
0.0ms	t	@	-inf	(+.f64 1 (+.f64 4 (/.f64 -8 t)))
0.0ms	t	@	-inf	(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 6 (/.f64 -8 t)))

rewrite106.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`log-prod_binary64`
359×	`prod-diff_binary64`
321×	`pow2_binary64`
302×	`fma-def_binary64`
222×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	260	37
2	3520	37

Stop Event

1×	node limit

Counts

4 → 178

Calls

Call 1

Inputs
(+.f64 1 (+.f64 4 (/.f64 -8 t)))
(+.f64 4 (/.f64 -8 t))
(/.f64 (+.f64 1 (+.f64 4 (/.f64 -8 t))) (+.f64 6 (/.f64 -8 t)))
(+.f64 6 (/.f64 -8 t))

Outputs
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t) 5) (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 (/.f64 -8 t) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 (/.f64 -8 t) 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 -8 t) 5) 3) (pow.f64 (+.f64 (/.f64 -8 t) 6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 (/.f64 -8 t) 6))) 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 36 (-.f64 6 (/.f64 -8 t))) (/.f64 (/.f64 64 (.f64 t t)) (-.f64 6 (/.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 216 (/.f64 -512 (pow.f64 t 3))) (/.f64 1 (fma.f64 (/.f64 -8 t) (-.f64 (/.f64 -8 t) 6) 36)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 36 (/.f64 64 (.f64 t t))) (/.f64 1 (-.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 -8 t) (-.f64 (/.f64 -8 t) 6) 36) (+.f64 216 (/.f64 -512 (pow.f64 t 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 6 (/.f64 -8 t)) (-.f64 36 (/.f64 64 (.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (/.f64 -512 (pow.f64 t 3))) (fma.f64 (/.f64 -8 t) (-.f64 (/.f64 -8 t) 6) 36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216 (/.f64 -512 (pow.f64 t 3))) (+.f64 (/.f64 64 (.f64 t t)) (-.f64 36 (/.f64 -48 t))))))) (#(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 /.f64 (neg.f64 (+.f64 216 (/.f64 -512 (pow.f64 t 3)))) (neg.f64 (fma.f64 (/.f64 -8 t) (-.f64 (/.f64 -8 t) 6) 36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 36 (/.f64 64 (.f64 t t)))) (neg.f64 (-.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 64 (.f64 t t)) 36) (-.f64 (/.f64 -8 t) 6))))) (#(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 -8 t) (-.f64 (/.f64 -8 t) 6) 36) (+.f64 216 (/.f64 -512 (pow.f64 t 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 6 (/.f64 -8 t)) (-.f64 36 (/.f64 64 (.f64 t t)))) -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 -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 (cbrt.f64 (/.f64 -8 t)) (pow.f64 (cbrt.f64 (/.f64 -8 t)) 2) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -8 t)) 2) (cbrt.f64 (/.f64 -8 t)) 6)))) (#(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 8 (/.f64 1 (neg.f64 t)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) -8 6)))))

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

757×	`fma-def_binary64`
536×	`unswap-sqr_binary64`
524×	`associate-/r*_binary64`
515×	`associate-l_binary64`
336×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	344
1	115	342
2	268	342
3	721	336
4	2072	333
5	7033	333

Stop Event

1×	node limit

Counts

226 → 202

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 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (*.f64 8 (/.f64 1 t)))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (*.f64 8 (/.f64 1 t)))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (*.f64 8 (/.f64 1 t)))
1
(+.f64 (*.f64 1/8 t) 1)
(+.f64 (.f64 1/8 t) (+.f64 (.f64 3/32 (pow.f64 t 2)) 1))
(+.f64 (.f64 1/8 t) (+.f64 (.f64 3/32 (pow.f64 t 2)) (+.f64 1 (*.f64 9/128 (pow.f64 t 3)))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (+.f64 (.f64 2/9 (/.f64 1 t)) (.f64 8/27 (/.f64 1 (pow.f64 t 2)))))
(-.f64 5/6 (+.f64 (.f64 32/81 (/.f64 1 (pow.f64 t 3))) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2))))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (+.f64 (.f64 2/9 (/.f64 1 t)) (.f64 8/27 (/.f64 1 (pow.f64 t 2)))))
(-.f64 5/6 (+.f64 (.f64 32/81 (/.f64 1 (pow.f64 t 3))) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2))))))
(/.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 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.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 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.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 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
1
(+.f64 (*.f64 1/8 t) 1)
(fma.f64 1/8 t 1)
(fma.f64 t 1/8 1)
(+.f64 (.f64 1/8 t) (+.f64 (.f64 3/32 (pow.f64 t 2)) 1))
(fma.f64 1/8 t (fma.f64 3/32 (*.f64 t t) 1))
(fma.f64 t 1/8 (fma.f64 3/32 (*.f64 t t) 1))
(fma.f64 t (fma.f64 t 3/32 1/8) 1)
(+.f64 (.f64 1/8 t) (+.f64 (.f64 3/32 (pow.f64 t 2)) (+.f64 1 (*.f64 9/128 (pow.f64 t 3)))))
(fma.f64 1/8 t (+.f64 (fma.f64 3/32 (.f64 t t) 1) (.f64 9/128 (pow.f64 t 3))))
(fma.f64 t 1/8 (fma.f64 3/32 (*.f64 t t) (fma.f64 9/128 (pow.f64 t 3) 1)))
(fma.f64 t 1/8 (fma.f64 t (*.f64 t 3/32) (fma.f64 9/128 (pow.f64 t 3) 1)))
(fma.f64 t (fma.f64 t 3/32 1/8) (fma.f64 9/128 (pow.f64 t 3) 1))
(fma.f64 t (fma.f64 t (fma.f64 t 9/128 3/32) 1/8) 1)
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 2/9 (/.f64 1 t)) (.f64 8/27 (/.f64 1 (pow.f64 t 2)))))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 8/27 (*.f64 t t))))
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 (/.f64 8/27 t) t)))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 -8/27 (*.f64 t t))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 -8/27 (*.f64 t t)))
(-.f64 5/6 (+.f64 (.f64 32/81 (/.f64 1 (pow.f64 t 3))) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2))))))
(-.f64 5/6 (+.f64 (+.f64 (/.f64 2/9 t) (/.f64 8/27 (*.f64 t t))) (/.f64 32/81 (pow.f64 t 3))))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (+.f64 (/.f64 (/.f64 8/27 t) t) (/.f64 32/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) (/.f64 -8/27 (*.f64 t t))) (/.f64 -32/81 (pow.f64 t 3))))
(+.f64 (/.f64 -8/27 (*.f64 t t)) (-.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 32/81 (pow.f64 t 3))))
(+.f64 5/6 (-.f64 (-.f64 (/.f64 -2/9 t) (/.f64 32/81 (pow.f64 t 3))) (/.f64 8/27 (*.f64 t 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 2/9 (/.f64 1 t)) (.f64 8/27 (/.f64 1 (pow.f64 t 2)))))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 8/27 (*.f64 t t))))
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 (/.f64 8/27 t) t)))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 -8/27 (*.f64 t t))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 -8/27 (*.f64 t t)))
(-.f64 5/6 (+.f64 (.f64 32/81 (/.f64 1 (pow.f64 t 3))) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2))))))
(-.f64 5/6 (+.f64 (+.f64 (/.f64 2/9 t) (/.f64 8/27 (*.f64 t t))) (/.f64 32/81 (pow.f64 t 3))))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (+.f64 (/.f64 (/.f64 8/27 t) t) (/.f64 32/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) (/.f64 -8/27 (*.f64 t t))) (/.f64 -32/81 (pow.f64 t 3))))
(+.f64 (/.f64 -8/27 (*.f64 t t)) (-.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 32/81 (pow.f64 t 3))))
(+.f64 5/6 (-.f64 (-.f64 (/.f64 -2/9 t) (/.f64 32/81 (pow.f64 t 3))) (/.f64 8/27 (*.f64 t 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))

localize3.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 36 to 21 computations (41.7% saved)

series5.0ms (0%)

Counts

4 → 36

Calls

12 calls:

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

rewrite140.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

823×	`prod-diff_binary64`
512×	`log-prod_binary64`
385×	`fma-def_binary64`
248×	`log-div_binary64`
219×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	247	34
2	3602	34

Stop Event

1×	node limit

Counts

4 → 261

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 -2/9 t))) (cbrt.f64 (exp.f64 (/.f64 -2/9 t))))) (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)) (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 (/.f64 4/81 (.f64 t t)))))) (#(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 -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 exp.f64 (.f64 (log.f64 (/.f64 -2/9 t)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/27) (pow.f64 t -2))) (cbrt.f64 (pow.f64 (exp.f64 -1/27) (pow.f64 t -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 (pow.f64 t -2)))) 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 (pow.f64 t -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 -1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 -1/27 (pow.f64 t -2))) (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 (pow.f64 t -2))))))) (#(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 (pow.f64 t -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -1/27 (pow.f64 t -2))) 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 (pow.f64 t -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 t t) -27) -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 (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 -1/19683 (pow.f64 (pow.f64 t -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 -1/27 (pow.f64 t -2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -2/9 t) (fma.f64 -1/27 (pow.f64 t -2) -5/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 -2/9 t) 5/6) (.f64 -1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 25/36 (-.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))) (/.f64 (pow.f64 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t) 2) (-.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))) (cbrt.f64 (pow.f64 (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 25/36 (pow.f64 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t) 2))) (neg.f64 (-.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3) (.f64 -1/19683 (pow.f64 (pow.f64 t -2) 3))) (fma.f64 (+.f64 (/.f64 -2/9 t) 5/6) (+.f64 (/.f64 -2/9 t) 5/6) (+.f64 (/.f64 1/729 (pow.f64 t 4)) (.f64 (+.f64 (/.f64 -2/9 t) 5/6) (.f64 -1/27 (pow.f64 t -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 (/.f64 -2/9 t) 5/6) (+.f64 (/.f64 -2/9 t) 5/6) (neg.f64 (/.f64 1/729 (pow.f64 t 4)))) (+.f64 (+.f64 (/.f64 -2/9 t) 5/6) (.f64 -1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t) 2) 25/36) (-.f64 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) 1)))) (#(struct:change #<rule 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simplify105.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

608×	`distribute-neg-frac_binary64`
539×	`div-sub_binary64`
482×	`associate-/r*_binary64`
461×	`fma-neg_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	23	348
1	49	348
2	83	348
3	150	348
4	313	348
5	896	348
6	3839	336
7	7218	336

Stop Event

1×	node limit

Counts

297 → 274

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

localize78.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
✓	19.8b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 t (*.f64 t 4))))

Compiler

Compiled 71 to 47 computations (33.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite68.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`log-prod_binary64`
680×	`fma-def_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`
277×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	28
1	336	22
2	4576	22

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify50.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

889×	`fma-def_binary64`
803×	`unswap-sqr_binary64`
561×	`associate-/r*_binary64`
525×	`associate-/l/_binary64`
456×	`times-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	135
1	75	121
2	175	117
3	469	117
4	1423	114
5	3867	114

Stop Event

1×	node limit

Counts

50 → 53

Calls

Call 1

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

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))
	0.0b	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
	2.5b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
✓	14.0b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))) (+.f64 2 (.f64 t (.f64 t 4))))

Compiler

Compiled 111 to 86 computations (22.5% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

937×	`prod-diff_binary64`
344×	`log1p-udef_binary64`
202×	`add-sqr-sqrt_binary64`
196×	`*-un-lft-identity_binary64`
196×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	59
1	398	55
2	5806	55

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-def_binary64`
461×	`times-frac_binary64`
385×	`fma-neg_binary64`
339×	`associate-*r/_binary64`
338×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	335
1	152	329
2	406	323
3	1146	316
4	3558	316

Stop Event

1×	node limit

Counts

78 → 84

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

eval588.0ms (4.2%)

Compiler: Compiled 16975 to 13571 computations (20.1% saved)

prune114.0ms (0.8%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	759	4	763
Fresh	3	4	7
Picked	0	1	1
Done	2	3	5
Total	764	12	776

Error

Counts

776 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	26.0b	1/2
▶	28.6b	(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t 4))))
✓	61.7b	(*.f64 -1/8 t)
✓	30.9b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))) (+.f64 2 (.f64 t (.f64 t 4))))
▶	31.4b	(+.f64 5/6 (/.f64 -2/9 t))
✓	31.7b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 t (*.f64 t 4))))
▶	31.5b	(+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))
✓	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)))))))
	26.5b	5/6
▶	29.7b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))))
▶	26.5b	(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 6 (/.f64 -8 t)))
	30.9b	(/.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 4 (.f64 t (+.f64 (*.f64 t 12) -8))))))

Compiler

Compiled 326 to 259 computations (20.6% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 6 (/.f64 -8 t)))
	0.0b	(+.f64 6 (/.f64 -8 t))
✓	0.0b	(+.f64 5 (/.f64 -8 t))

Compiler

Compiled 29 to 23 computations (20.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(+.f64 5 (/.f64 -8 t))
0.0ms	t	@	inf	(+.f64 5 (/.f64 -8 t))
0.0ms	t	@	inf	(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 6 (/.f64 -8 t)))
0.0ms	t	@	-inf	(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 6 (/.f64 -8 t)))
0.0ms	t	@	0	(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 6 (/.f64 -8 t)))

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`unpow-prod-down_binary64`
453×	`log-prod_binary64`
274×	`pow2_binary64`
250×	`pow-prod-down_binary64`
193×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	215	23
2	2920	23

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

Inputs
(+.f64 5 (/.f64 -8 t))
(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 6 (/.f64 -8 t)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 5 (/.f64 -8 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 25 (-.f64 5 (/.f64 -8 t))) (/.f64 (/.f64 64 (*.f64 t t)) (-.f64 5 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 5 (/.f64 -8 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 5 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 5 (/.f64 -8 t))) (pow.f64 (cbrt.f64 (+.f64 5 (/.f64 -8 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 5 (/.f64 -8 t))) 2) (cbrt.f64 (+.f64 5 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 5 (/.f64 -8 t))) (sqrt.f64 (+.f64 5 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -512 (pow.f64 t -3) 125) (/.f64 1 (fma.f64 (/.f64 -8 t) (-.f64 (/.f64 -8 t) 5) 25)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -512 (pow.f64 t -3) 125) (pow.f64 (/.f64 1 (fma.f64 (/.f64 -8 t) (-.f64 (/.f64 -8 t) 5) 25)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 25 (/.f64 64 (*.f64 t t))) (/.f64 1 (-.f64 5 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 25 (/.f64 64 (*.f64 t t))) (pow.f64 (/.f64 1 (-.f64 5 (/.f64 -8 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 5 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 5 (/.f64 -8 t)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 5 (/.f64 -8 t)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 5 (/.f64 -8 t)) (cbrt.f64 (+.f64 5 (/.f64 -8 t)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 5 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 5 (/.f64 -8 t)) 2) (sqrt.f64 (+.f64 5 (/.f64 -8 t)))) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 5 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 5 (/.f64 -8 t)))) 2) 3) (cbrt.f64 (+.f64 5 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 5 (/.f64 -8 t)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 5 (/.f64 -8 t)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 -8 t) (-.f64 (/.f64 -8 t) 5) 25) (fma.f64 -512 (pow.f64 t -3) 125)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 5 (/.f64 -8 t)) (-.f64 25 (/.f64 64 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -512 (pow.f64 t -3) 125) (fma.f64 (/.f64 -8 t) (-.f64 (/.f64 -8 t) 5) 25))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -512 (pow.f64 t -3) 125) (+.f64 (/.f64 64 (*.f64 t t)) (-.f64 25 (/.f64 -40 t))))))) (#(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 /.f64 (neg.f64 (fma.f64 -512 (pow.f64 t -3) 125)) (neg.f64 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t)) (+.f64 (/.f64 -8 t) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 5 (/.f64 -8 t)) 3) (pow.f64 (+.f64 (/.f64 -8 t) 6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6))) 1))))))

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

745×	`fma-def_binary64`
536×	`unswap-sqr_binary64`
525×	`associate-/r*_binary64`
522×	`associate-l_binary64`
344×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	206
1	107	204
2	256	204
3	694	198
4	2034	195
5	7018	195

Stop Event

1×	node limit

Counts

142 → 136

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)))
1
(+.f64 (*.f64 1/8 t) 1)
(+.f64 (.f64 1/8 t) (+.f64 (.f64 3/32 (pow.f64 t 2)) 1))
(+.f64 (.f64 1/8 t) (+.f64 (.f64 3/32 (pow.f64 t 2)) (+.f64 1 (*.f64 9/128 (pow.f64 t 3)))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (+.f64 (.f64 2/9 (/.f64 1 t)) (.f64 8/27 (/.f64 1 (pow.f64 t 2)))))
(-.f64 5/6 (+.f64 (.f64 32/81 (/.f64 1 (pow.f64 t 3))) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2))))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (+.f64 (.f64 2/9 (/.f64 1 t)) (.f64 8/27 (/.f64 1 (pow.f64 t 2)))))
(-.f64 5/6 (+.f64 (.f64 32/81 (/.f64 1 (pow.f64 t 3))) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2))))))

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))
1
(+.f64 (*.f64 1/8 t) 1)
(fma.f64 1/8 t 1)
(fma.f64 t 1/8 1)
(+.f64 (.f64 1/8 t) (+.f64 (.f64 3/32 (pow.f64 t 2)) 1))
(fma.f64 1/8 t (fma.f64 3/32 (*.f64 t t) 1))
(fma.f64 t 1/8 (fma.f64 3/32 (*.f64 t t) 1))
(fma.f64 t (fma.f64 t 3/32 1/8) 1)
(+.f64 (.f64 1/8 t) (+.f64 (.f64 3/32 (pow.f64 t 2)) (+.f64 1 (*.f64 9/128 (pow.f64 t 3)))))
(fma.f64 1/8 t (+.f64 (fma.f64 3/32 (.f64 t t) 1) (.f64 9/128 (pow.f64 t 3))))
(fma.f64 t 1/8 (fma.f64 3/32 (*.f64 t t) (fma.f64 9/128 (pow.f64 t 3) 1)))
(fma.f64 t 1/8 (fma.f64 t (*.f64 t 3/32) (fma.f64 9/128 (pow.f64 t 3) 1)))
(fma.f64 t 1/8 (fma.f64 t (*.f64 t (fma.f64 t 9/128 3/32)) 1))
(fma.f64 t (fma.f64 t (fma.f64 t 9/128 3/32) 1/8) 1)
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 2/9 (/.f64 1 t)) (.f64 8/27 (/.f64 1 (pow.f64 t 2)))))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 8/27 (*.f64 t t))))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 -8/27 (*.f64 t t))))
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 (/.f64 8/27 t) t)))
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 8/27 (*.f64 t t))))
(-.f64 5/6 (+.f64 (.f64 32/81 (/.f64 1 (pow.f64 t 3))) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2))))))
(-.f64 5/6 (+.f64 (+.f64 (/.f64 2/9 t) (/.f64 8/27 (*.f64 t t))) (/.f64 32/81 (pow.f64 t 3))))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (+.f64 (/.f64 8/27 (*.f64 t t)) (/.f64 32/81 (pow.f64 t 3)))))
(+.f64 5/6 (-.f64 (+.f64 (/.f64 -2/9 t) (/.f64 -8/27 (*.f64 t t))) (/.f64 32/81 (pow.f64 t 3))))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (-.f64 (/.f64 -8/27 (*.f64 t t)) (/.f64 32/81 (pow.f64 t 3)))))
(-.f64 (/.f64 -2/9 t) (+.f64 (/.f64 8/27 (*.f64 t t)) (+.f64 (/.f64 32/81 (pow.f64 t 3)) -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 5/6 (+.f64 (.f64 2/9 (/.f64 1 t)) (.f64 8/27 (/.f64 1 (pow.f64 t 2)))))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 8/27 (*.f64 t t))))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 -8/27 (*.f64 t t))))
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 (/.f64 8/27 t) t)))
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 8/27 (*.f64 t t))))
(-.f64 5/6 (+.f64 (.f64 32/81 (/.f64 1 (pow.f64 t 3))) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2))))))
(-.f64 5/6 (+.f64 (+.f64 (/.f64 2/9 t) (/.f64 8/27 (*.f64 t t))) (/.f64 32/81 (pow.f64 t 3))))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (+.f64 (/.f64 8/27 (*.f64 t t)) (/.f64 32/81 (pow.f64 t 3)))))
(+.f64 5/6 (-.f64 (+.f64 (/.f64 -2/9 t) (/.f64 -8/27 (*.f64 t t))) (/.f64 32/81 (pow.f64 t 3))))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (-.f64 (/.f64 -8/27 (*.f64 t t)) (/.f64 32/81 (pow.f64 t 3)))))
(-.f64 (/.f64 -2/9 t) (+.f64 (/.f64 8/27 (*.f64 t t)) (+.f64 (/.f64 32/81 (pow.f64 t 3)) -5/6)))

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (0.4%)

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	7
1	139	7
2	1759	7

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

43 → 35

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))

localize12.0ms (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	@	inf	(/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)
1.0ms	t	@	0	(/.f64 -1/27 t)
0.0ms	t	@	0	(/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)
0.0ms	t	@	0	(+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))
0.0ms	t	@	inf	(/.f64 -1/27 t)

rewrite104.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

474×	`log-prod_binary64`
282×	`pow2_binary64`
265×	`prod-diff_binary64`
249×	`pow-prod-down_binary64`
196×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	218	34
2	3024	34

Stop Event

1×	node limit

Counts

4 → 242

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
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#<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 1 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 1 (/.f64 -2/9 t) (neg.f64 (fma.f64 -1/27 (pow.f64 t -2) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) 2) (.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) (/.f64 1 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 2)) 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)) (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 -2/9 (/.f64 1/27 t))) (*.f64 (sqrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) (/.f64 1 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 2/9 (neg.f64 (/.f64 1/27 t))) (/.f64 1 (neg.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 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)) (neg.f64 (fma.f64 -1/27 (pow.f64 t -2) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) (neg.f64 (fma.f64 -1/27 (pow.f64 t -2) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) -2) (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) (cbrt.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 t -1/2) (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) (sqrt.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) 1) (/.f64 (sqrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) (cbrt.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) (sqrt.f64 t)) 5/6)))))

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

688×	`distribute-neg-frac_binary64`
599×	`div-sub_binary64`
562×	`fma-neg_binary64`
434×	`unswap-sqr_binary64`
425×	`times-frac_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	24	333
1	53	333
2	86	333
3	151	333
4	328	333
5	965	321
6	4458	285
7	7583	285

Stop Event

1×	node limit

Counts

278 → 256

Calls

Call 1

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

localize20.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.5b	(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t 4))))

Compiler

Compiled 42 to 30 computations (28.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite64.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`prod-diff_binary64`
495×	`log-prod_binary64`
383×	`fma-def_binary64`
297×	`pow-prod-down_binary64`
268×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	218	18
2	2875	18

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 t (*.f64 t 4) 1) (/.f64 1 (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -2)) (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4)) (*.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 1)) (/.f64 1 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))) (/.f64 (hypot.f64 1 (*.f64 t 2)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 t 2)) (*.f64 (hypot.f64 1 (*.f64 t 2)) (/.f64 1 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 t (*.f64 t 4) 1)) (/.f64 1 (neg.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 4 (*.f64 t t) 2)) (fma.f64 t (*.f64 t 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4)) 1) (/.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 1)) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) 1) (/.f64 (hypot.f64 1 (*.f64 t 2)) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 2)) -2) (/.f64 (fma.f64 t (*.f64 t 4) 1) (cbrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4)) (pow.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 2)) 2)) (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) (pow.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 2)) 2)) (/.f64 (hypot.f64 1 (*.f64 t 2)) (cbrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 2) -1/2) (/.f64 (fma.f64 t (*.f64 t 4) 1) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))) (/.f64 (cbrt.f64 (fma.f64 t (*.f64 t 4) 1)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 (pow.f64 t 6) 64 8)) (fma.f64 (*.f64 4 (*.f64 t t)) (fma.f64 4 (*.f64 t t) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (-.f64 4 (*.f64 (pow.f64 t 4) 16))) (-.f64 2 (*.f64 4 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 6) (pow.f64 (fma.f64 4 (*.f64 t t) 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (neg.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 t (*.f64 t 4) 1)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 6) (pow.f64 (fma.f64 4 (*.f64 t t) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 t (*.f64 t 4) 1) (fma.f64 4 (*.f64 t t) 2))) 1))))))

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

784×	`distribute-neg-frac_binary64`
611×	`times-frac_binary64`
388×	`associate-/l/_binary64`
285×	`unswap-sqr_binary64`
268×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	159
1	87	157
2	212	153
3	563	153
4	2140	153
5	6512	153

Stop Event

1×	node limit

Counts

53 → 55

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (+.f64 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2)))
(+.f64 1/2 (+.f64 (.f64 4 (pow.f64 t 6)) (+.f64 (.f64 -2 (pow.f64 t 4)) (pow.f64 t 2))))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (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 1/2 (+.f64 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2)))
(+.f64 1/2 (fma.f64 -2 (pow.f64 t 4) (*.f64 t t)))
(+.f64 1/2 (fma.f64 t t (*.f64 -2 (pow.f64 t 4))))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 4) 1/2))
(+.f64 1/2 (+.f64 (.f64 4 (pow.f64 t 6)) (+.f64 (.f64 -2 (pow.f64 t 4)) (pow.f64 t 2))))
(+.f64 1/2 (fma.f64 4 (pow.f64 t 6) (fma.f64 -2 (pow.f64 t 4) (*.f64 t t))))
(+.f64 1/2 (fma.f64 4 (pow.f64 t 6) (fma.f64 t t (*.f64 -2 (pow.f64 t 4)))))
(fma.f64 4 (pow.f64 t 6) (fma.f64 t t (fma.f64 -2 (pow.f64 t 4) 1/2)))
(fma.f64 -2 (pow.f64 t 4) (fma.f64 4 (pow.f64 t 6) (fma.f64 t t 1/2)))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 4) (fma.f64 4 (pow.f64 t 6) 1/2)))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 1 (/.f64 1/4 (*.f64 t t)))
(+.f64 1 (/.f64 -1/4 (*.f64 t t)))
(+.f64 1 (/.f64 (/.f64 -1/4 t) t))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/4 (*.f64 t t))))
(+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 1 (/.f64 -1/4 (*.f64 t t))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 (/.f64 -1/4 t) t)))
(+.f64 (+.f64 1 (/.f64 (/.f64 -1/4 t) t)) (/.f64 1/8 (pow.f64 t 4)))
(+.f64 (-.f64 1 (/.f64 1/4 (*.f64 t t))) (/.f64 1/8 (pow.f64 t 4)))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 1/16 (pow.f64 t 6)))))
(+.f64 1 (+.f64 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/16 (pow.f64 t 6))) (/.f64 (/.f64 -1/4 t) t)))
(+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (+.f64 1 (/.f64 (/.f64 -1/4 t) t)) (/.f64 -1/16 (pow.f64 t 6))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (-.f64 (/.f64 -1/16 (pow.f64 t 6)) (/.f64 1/4 (*.f64 t t)))))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 1 (/.f64 1/4 (*.f64 t t)))
(+.f64 1 (/.f64 -1/4 (*.f64 t t)))
(+.f64 1 (/.f64 (/.f64 -1/4 t) t))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/4 (*.f64 t t))))
(+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 1 (/.f64 -1/4 (*.f64 t t))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 (/.f64 -1/4 t) t)))
(+.f64 (+.f64 1 (/.f64 (/.f64 -1/4 t) t)) (/.f64 1/8 (pow.f64 t 4)))
(+.f64 (-.f64 1 (/.f64 1/4 (*.f64 t t))) (/.f64 1/8 (pow.f64 t 4)))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 1/16 (pow.f64 t 6)))))
(+.f64 1 (+.f64 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/16 (pow.f64 t 6))) (/.f64 (/.f64 -1/4 t) t)))
(+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (+.f64 1 (/.f64 (/.f64 -1/4 t) t)) (/.f64 -1/16 (pow.f64 t 6))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (-.f64 (/.f64 -1/16 (pow.f64 t 6)) (/.f64 1/4 (*.f64 t t)))))

localize26.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
✓	19.9b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))))

Compiler

Compiled 71 to 46 computations (35.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

inf

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

0.0ms

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

0.0ms

-inf

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

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

658×	`log-prod_binary64`
600×	`fma-def_binary64`
361×	`pow2_binary64`
248×	`pow1/3_binary64`
247×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	294	26
2	4072	26

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

980×	`fma-def_binary64`
806×	`associate-/r/_binary64`
716×	`associate-/r*_binary64`
305×	`distribute-rgt-out_binary64`
293×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	159
1	90	155
2	209	153
3	506	153
4	1422	150
5	5525	150
6	7233	150
7	7644	150

Stop Event

1×	node limit

Counts

52 → 54

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))))))

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

eval309.0ms (2.2%)

Compiler: Compiled 13456 to 10419 computations (22.6% saved)

prune91.0ms (0.6%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	663	1	664
Fresh	0	3	3
Picked	0	1	1
Done	0	8	8
Total	663	13	676

Error

Counts

676 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	26.0b	1/2
✓	28.6b	(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t 4))))
✓	61.7b	(*.f64 -1/8 t)
✓	30.9b	(/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))) (+.f64 2 (.f64 t (.f64 t 4))))
	31.9b	(-.f64 (+.f64 1 (+.f64 5/6 (/.f64 -2/9 t))) 1)
✓	31.4b	(+.f64 5/6 (/.f64 -2/9 t))
✓	31.7b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 t (*.f64 t 4))))
✓	31.5b	(+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))
✓	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)))))))
	26.5b	5/6
✓	29.7b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))))
✓	26.5b	(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 6 (/.f64 -8 t)))
	30.9b	(/.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 4 (.f64 t (+.f64 (*.f64 t 12) -8))))))

Compiler

Compiled 226 to 182 computations (19.5% saved)

regimes46.0ms (0.3%)

Counts

24 → 1

Calls

Call 1

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

Calls

5 calls:

12.0ms	t
11.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
4.0ms	(/.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)))))))
3.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
3.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

Results

Error	Segments	Branch
0b	1	`t`
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)))))))`
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)))))`
0b	1	`(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))`
0b	1	`(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))`

Compiler

Compiled 587 to 472 computations (19.6% saved)

regimes106.0ms (0.7%)

Counts

23 → 2

Calls

Call 1

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

Outputs

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

Calls

7 calls:

31.0ms	t
24.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
18.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
6.0ms	(*.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
0.4b	3	`t`
0.4b	2	`(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))`
0.4b	2	`(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))`
0.4b	2	`(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))`
0.4b	2	`(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))`
0.4b	2	`(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))`
0.4b	2	`(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))`

Compiler

Compiled 530 to 423 computations (20.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0001079924731137652	1.98529468547711

Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes93.0ms (0.7%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

7 calls:

29.0ms	t
17.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
16.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
5.0ms	(-.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)))))

Results

Error	Segments	Branch
0.4b	3	`t`
0.4b	2	`(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))`
0.4b	2	`(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))`
0.4b	2	`(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))`
0.4b	2	`(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))`
0.4b	2	`(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))`
0.4b	2	`(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))`

Compiler

Compiled 489 to 391 computations (20% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0001079924731137652	1.98529468547711

Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes26.0ms (0.2%)

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

22.0ms

Results

Error	Segments	Branch
0.5b	3	`t`

Compiler

Compiled 168 to 128 computations (23.8% saved)

bsearch91.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	0.0074071192707373034	18518.809226825375
46.0ms	-7.125052985002857	-0.0007922455190309593

Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes24.0ms (0.2%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

1 calls:

20.0ms

Results

Error	Segments	Branch
0.5b	3	`t`

Compiler

Compiled 120 to 92 computations (23.3% saved)

bsearch245.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
142.0ms	0.0074071192707373034	18518.809226825375
103.0ms	-7.125052985002857	-0.0007922455190309593

Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes70.0ms (0.5%)

Counts

10 → 3

Calls

Call 1

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

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:

67.0ms

Results

Error	Segments	Branch
0.6b	3	`t`

Compiler

Compiled 71 to 57 computations (19.7% saved)

bsearch179.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	0.0074071192707373034	18518.809226825375
135.0ms	-7.125052985002857	-0.0007922455190309593

Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes16.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

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
0.7b	3	`t`

Compiler

Compiled 27 to 22 computations (18.5% saved)

bsearch213.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
133.0ms	0.0074071192707373034	18518.809226825375
79.0ms	-7.125052985002857	-0.0007922455190309593

Compiler

Compiled 56 to 47 computations (16.1% saved)

regimes87.0ms (0.6%)

Accuracy

Total -60.7b remaining (-5817.7%)

Threshold costs -60.7b (-5817.7%)

Counts

3 → 3

Calls

Call 1

Inputs
5/6
1/2
(*.f64 -1/8 t)

Outputs
5/6
1/2
5/6

Calls

1 calls:

86.0ms

Results

Error	Segments	Branch
1.0b	3	`t`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch202.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
156.0ms	0.0074071192707373034	18518.809226825375
46.0ms	-7.125052985002857	-0.0007922455190309593

Compiler

Compiled 56 to 47 computations (16.1% saved)

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

19×	`+-commutative_binary64`
12×	`*-commutative_binary64`
5×	`sub-neg_binary64`
3×	`distribute-neg-frac_binary64`
3×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	450
1	97	450
2	109	450
3	118	450
4	122	450
5	123	450

Stop Event

1×	fuel
1×	saturated

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)))))))
(if (<=.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) 7378697629483821/36893488147419103232) (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) 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 4 (.f64 t (+.f64 (*.f64 t 12) -8)))))))
(if (<=.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) 7378697629483821/36893488147419103232) (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) (/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))) (+.f64 2 (.f64 t (.f64 t 4)))))
(if (<=.f64 t -8022096492063477/1125899906842624) (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) (if (<=.f64 t 8539827094420823/1152921504606846976) (/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8))))) (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))))
(if (<=.f64 t -8022096492063477/1125899906842624) (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) (if (<=.f64 t 8539827094420823/1152921504606846976) (/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t 4)))) (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))))
(if (<=.f64 t -8022096492063477/1125899906842624) (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) (if (<=.f64 t 8539827094420823/1152921504606846976) 1/2 (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))))
(if (<=.f64 t -8022096492063477/1125899906842624) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 8539827094420823/1152921504606846976) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -8022096492063477/1125899906842624) 5/6 (if (<=.f64 t 8539827094420823/1152921504606846976) 1/2 5/6))
5/6

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)))))))
(if (<=.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) 7378697629483821/36893488147419103232) (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) 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 4 (.f64 t (+.f64 (*.f64 t 12) -8)))))))
(if (<=.f64 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) 7378697629483821/36893488147419103232) (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) (/.f64 (+.f64 1 (.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (.f64 2 t))) (+.f64 2 (.f64 t (.f64 t 4)))))
(if (<=.f64 t -8022096492063477/1125899906842624) (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) (if (<=.f64 t 8539827094420823/1152921504606846976) (/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8))))) (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))))
(if (<=.f64 t -8022096492063477/1125899906842624) (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) (if (<=.f64 t 8539827094420823/1152921504606846976) (/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t 4)))) (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))))
(if (<=.f64 t -8022096492063477/1125899906842624) (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t)) (if (<=.f64 t 8539827094420823/1152921504606846976) 1/2 (+.f64 5/6 (/.f64 (-.f64 -2/9 (/.f64 -1/27 t)) t))))
(if (<=.f64 t -8022096492063477/1125899906842624) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 8539827094420823/1152921504606846976) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -8022096492063477/1125899906842624) 5/6 (if (<=.f64 t 8539827094420823/1152921504606846976) 1/2 5/6))
5/6

Compiler

Compiled 316 to 252 computations (20.3% saved)

soundness0.0ms (0%)

end194.0ms (1.4%)

Compiler: Compiled 308 to 243 computations (21.1% saved)