Details

analyze293.0ms (5.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	49.9%	0%	12

Compiler

Compiled 31 to 27 computations (12.9% saved)

sample1.4s (25.3%)

Results

1.4s

8256×

body

valid

preprocess43.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

716×	`fma-def_binary64`
425×	`distribute-rgt-in_binary64`
408×	`div-sub_binary64`
342×	`times-frac_binary64`
305×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	23	41
2	47	41
3	120	29
4	342	29
5	1339	26
6	4694	25
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Compiler

Compiled 30 to 26 computations (13.3% saved)

simplify32.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

716×	`fma-def_binary64`
425×	`distribute-rgt-in_binary64`
408×	`div-sub_binary64`
342×	`times-frac_binary64`
305×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	23	41
2	47	41
3	120	29
4	342	29
5	1339	26
6	4694	25

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

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

0.0b

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

▶

0.0b

(-.f64 1 (/.f64 1 (+.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 143 to 125 computations (12.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (/.f64 1 (+.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 1 (+.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 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
✓	2.4b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

series8.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	t	@	-inf	(-.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 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
0.0ms	t	@	inf	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
0.0ms	t	@	0	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))

rewrite97.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

730×	`log-prod_binary64`
441×	`prod-diff_binary64`
363×	`fma-def_binary64`
315×	`log-div_binary64`
275×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	88
1	314	88
2	4578	88

Stop Event

1×	node limit

Counts

4 → 147

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 1 (+.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 1 (/.f64 1 (+.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 (.f64 (cbrt.f64 (exp.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))) (cbrt.f64 (exp.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))) (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))))) (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.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 (/.f64 2 t) (+.f64 1 (/.f64 1 t))) (+.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 4 (pow.f64 (/.f64 (/.f64 2 t) (+.f64 1 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t)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 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(/.f64 1 t)))) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)))) (sqrt.f64 (/.f64 -1 (+.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 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) -2))) (cbrt.f64 (/.f64 1 (+.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 (neg.f64 (pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) -1/2)) (pow.f64 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 -1 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 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simplify52.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

474×	`fma-def_binary64`
437×	`sub-neg_binary64`
412×	`associate-l_binary64`
338×	`distribute-neg-frac_binary64`
325×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	611
1	275	597
2	746	587
3	2227	578
4	6087	578

Stop Event

1×	node limit

Counts

195 → 203

Calls

Call 1

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

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

prune1.5s (26.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	261	2	263
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	263	2	265

Error

Counts

265 → 2

Alt Table

Status	Error	Program
	0.0b	(-.f64 1 (/.f64 1 (+.f64 2 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 6)))))
▶	0.0b	(exp.f64 (log1p.f64 (/.f64 -1 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)))))

Status

Error

Program

0.0b

(-.f64 1 (/.f64 1 (+.f64 2 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 6)))))

▶

0.0b

(exp.f64 (log1p.f64 (/.f64 -1 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)))))

Compiler

Compiled 8499 to 7409 computations (12.8% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 -1 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)))
✓	0.0b	(pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)
✓	2.4b	(+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))

New

Error

Program

✓

0.0b

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

✓

0.0b

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

✓

2.4b

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

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite79.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

685×	`log-prod_binary64`
322×	`fma-def_binary64`
295×	`log-div_binary64`
282×	`prod-diff_binary64`
265×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	323	60
2	4345	60

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

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

Inputs

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

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

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

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

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simplify44.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

879×	`fma-neg_binary64`
530×	`cancel-sign-sub-inv_binary64`
464×	`distribute-rgt-out_binary64`
351×	`fma-def_binary64`
347×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	77	468
1	231	457
2	622	448
3	1766	441
4	4601	428

Stop Event

1×	node limit

Counts

158 → 165

Calls

Call 1

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

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

prune830.0ms (14.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	166	1	167

Error

Counts

167 → 1

Alt Table

Status	Error	Program
▶	0b	(exp.f64 (log1p.f64 (/.f64 -1 (+.f64 2 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 6))))))

Compiler

Compiled 4528 to 3981 computations (12.1% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 6)
✓	0.1b	(*.f64 t (+.f64 1 (/.f64 1 t)))
✓	0.1b	(cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 6))
✓	6.5b	(+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite78.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`log-prod_binary64`
328×	`pow2_binary64`
271×	`fma-def_binary64`
225×	`expm1-udef_binary64`
225×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	295	40
2	3753	40

Stop Event

1×	node limit

Counts

4 → 147

Calls

Call 1

Inputs
(+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t)))))
(cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 6))
(*.f64 t (+.f64 1 (/.f64 1 t)))
(pow.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 6)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (-.f64 2 (/.f64 -2 (+.f64 t 1)))) (/.f64 (/.f64 4 (pow.f64 (+.f64 t 1) 2)) (-.f64 2 (/.f64 -2 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 2 (/.f64 -2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1)))) 2) (cbrt.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1)))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1)))) (sqrt.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 8 (/.f64 -8 (pow.f64 (+.f64 t 1) 3))) (/.f64 1 (fma.f64 (/.f64 -2 (+.f64 t 1)) (-.f64 (/.f64 -2 (+.f64 t 1)) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 4 (/.f64 4 (pow.f64 (+.f64 t 1) 2))) (/.f64 1 (-.f64 2 (/.f64 -2 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 12)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 -2 (+.f64 t 1)) (-.f64 (/.f64 -2 (+.f64 t 1)) 2) 4) (+.f64 8 (/.f64 -8 (pow.f64 (+.f64 t 1) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 2 (/.f64 -2 (+.f64 t 1))) (-.f64 4 (/.f64 4 (pow.f64 (+.f64 t 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (/.f64 -8 (pow.f64 (+.f64 t 1) 3))) (fma.f64 (/.f64 -2 (+.f64 t 1)) (-.f64 (/.f64 -2 (+.f64 t 1)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (/.f64 -8 (pow.f64 (+.f64 t 1) 3))) (+.f64 (/.f64 4 (pow.f64 (+.f64 t 1) 2)) (-.f64 4 (/.f64 -4 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (/.f64 4 (pow.f64 (+.f64 t 1) 2))) (-.f64 2 (/.f64 -2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8 (/.f64 -8 (pow.f64 (+.f64 t 1) 3)))) (neg.f64 (fma.f64 (/.f64 -2 (+.f64 t 1)) (-.f64 (/.f64 -2 (+.f64 t 1)) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (/.f64 4 (pow.f64 (+.f64 t 1) 2)))) (neg.f64 (-.f64 2 (/.f64 -2 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 (pow.f64 (+.f64 t 1) 2)) 4) (-.f64 (/.f64 -2 (+.f64 t 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 -2 (+.f64 t 1)) (-.f64 (/.f64 -2 (+.f64 t 1)) 2) 4) (+.f64 8 (/.f64 -8 (pow.f64 (+.f64 t 1) 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 2 (/.f64 -2 (+.f64 t 1))) (-.f64 4 (/.f64 4 (pow.f64 (+.f64 t 1) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 (fma.f64 -1 t -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 (+.f64 t 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2 (+.f64 t 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (+.f64 t 1)) 1 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2 (+.f64 t 1))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 t 1) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 t 1) 2))) (cbrt.f64 (/.f64 -2 (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2 (+.f64 t 1))) (sqrt.f64 (/.f64 -2 (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 t 1)) -2 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 t) (/.f64 1 (+.f64 1 (/.f64 1 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (pow.f64 t -3))) (+.f64 1 (-.f64 (pow.f64 t -2) (/.f64 1 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 -2 t) (-.f64 1 (pow.f64 t -2))) (-.f64 1 (/.f64 1 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (+.f64 2 (/.f64 -2 (+.f64 t 1)))) (.f64 (/.f64 -2 (+.f64 t 1)) (+.f64 2 (/.f64 -2 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 -2 (+.f64 t 1)) (+.f64 2 (/.f64 -2 (+.f64 t 1)))) (.f64 2 (+.f64 2 (/.f64 -2 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 2) (.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) (/.f64 -2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) (/.f64 -2 (+.f64 t 1))) (.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 t 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 t)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 t 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 t 1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 t 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 t 3) 1) (fma.f64 t t (-.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 t t -1) (-.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (pow.f64 t -3)) t) (+.f64 1 (-.f64 (pow.f64 t -2) (/.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 t -2)) t) (-.f64 1 (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 t (+.f64 1 (pow.f64 t -3))) (+.f64 1 (-.f64 (pow.f64 t -2) (/.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 t (-.f64 1 (pow.f64 t -2))) (-.f64 1 (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 t 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 t 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 t 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 t 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 t 3) (pow.f64 (+.f64 1 (/.f64 1 t)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (+.f64 1 (/.f64 1 t)) 3) (pow.f64 t 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 t 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 t 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 t 3) (pow.f64 (+.f64 1 (/.f64 1 t)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 1 (/.f64 1 t)) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 t 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 t) (cbrt.f64 (.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 t t)) (cbrt.f64 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 t t)) (.f64 (cbrt.f64 t) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 t) (sqrt.f64 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 t) (.f64 (sqrt.f64 t) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 t 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 2) (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 12)) (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 3) (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1)))) 2) 6) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1)))) 6) (pow.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 12)) 1) (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 12)) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 12)))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 12)) (+.f64 2 (/.f64 -2 (+.f64 t 1)))) (+.f64 2 (/.f64 -2 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 6 (log.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 6 (log.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 2 (/.f64 -2 (+.f64 t 1))) 6)))))))

simplify47.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

820×	`times-frac_binary64`
719×	`associate-r_binary64`
700×	`unswap-sqr_binary64`
671×	`fma-neg_binary64`
380×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	87	531
1	258	531
2	676	522
3	1977	517
4	5332	513

Stop Event

1×	node limit

Counts

195 → 192

Calls

Call 1

Inputs
(*.f64 2 t)
(+.f64 (.f64 2 t) (.f64 -2 (pow.f64 t 2)))
(+.f64 (.f64 2 t) (+.f64 (.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))))
(+.f64 (.f64 2 t) (+.f64 (.f64 -2 (pow.f64 t 2)) (+.f64 (.f64 -2 (pow.f64 t 4)) (.f64 2 (pow.f64 t 3)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(*.f64 4 (pow.f64 t 2))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 -16 (pow.f64 t 5)) (+.f64 (.f64 12 (pow.f64 t 4)) (.f64 4 (pow.f64 t 2)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
1
(+.f64 1 t)
(+.f64 1 t)
(+.f64 1 t)
t
(+.f64 1 t)
(+.f64 1 t)
(+.f64 1 t)
t
(+.f64 1 t)
(+.f64 1 t)
(+.f64 1 t)
(*.f64 64 (pow.f64 t 6))
(+.f64 (.f64 64 (pow.f64 t 6)) (.f64 -384 (pow.f64 t 7)))
(+.f64 (.f64 64 (pow.f64 t 6)) (+.f64 (.f64 -384 (pow.f64 t 7)) (*.f64 1344 (pow.f64 t 8))))
(+.f64 (.f64 64 (pow.f64 t 6)) (+.f64 (.f64 -384 (pow.f64 t 7)) (+.f64 (.f64 -3584 (pow.f64 t 9)) (.f64 1344 (pow.f64 t 8)))))
64
(-.f64 64 (*.f64 384 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1344 (/.f64 1 (pow.f64 t 2))) 64) (.f64 384 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1344 (/.f64 1 (pow.f64 t 2))) 64) (+.f64 (.f64 384 (/.f64 1 t)) (*.f64 3584 (/.f64 1 (pow.f64 t 3)))))
64
(-.f64 64 (*.f64 384 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1344 (/.f64 1 (pow.f64 t 2))) 64) (.f64 384 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1344 (/.f64 1 (pow.f64 t 2))) 64) (+.f64 (.f64 384 (/.f64 1 t)) (*.f64 3584 (/.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 t (.f64 t (.f64 t -2)))
(.f64 t (+.f64 2 (.f64 t -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 t (.f64 (.f64 t t) (+.f64 -2 (*.f64 2 t))))
(.f64 t (+.f64 2 (.f64 t (+.f64 (*.f64 2 t) -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 (+.f64 2 (.f64 t -2))))
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 t t)) (+.f64 2 (/.f64 -2 t)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(-.f64 (+.f64 2 (/.f64 2 (*.f64 t t))) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))))
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3)))))
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 2 (+.f64 (/.f64 -2 t) (/.f64 -2 (pow.f64 t 3)))))
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 2 (-.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 2 t))))
(+.f64 2 (fma.f64 (/.f64 1 (*.f64 t t)) (+.f64 2 (/.f64 -2 t)) (/.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 t t)) (+.f64 2 (/.f64 -2 t)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(-.f64 (+.f64 2 (/.f64 2 (*.f64 t t))) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))))
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3)))))
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 2 (+.f64 (/.f64 -2 t) (/.f64 -2 (pow.f64 t 3)))))
(+.f64 (/.f64 2 (*.f64 t t)) (+.f64 2 (-.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 2 t))))
(+.f64 2 (fma.f64 (/.f64 1 (*.f64 t t)) (+.f64 2 (/.f64 -2 t)) (/.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 t (.f64 t (+.f64 4 (*.f64 t -8))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) 4)))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 4) 12)))
(fma.f64 (pow.f64 t 4) 12 (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))
(.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 -8 (.f64 t 12)))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 -16 (pow.f64 t 5)) (+.f64 (.f64 12 (pow.f64 t 4)) (.f64 4 (pow.f64 t 2)))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) 4))))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 -16 (pow.f64 t 5) (fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 4) 12))))
(fma.f64 -16 (pow.f64 t 5) (fma.f64 (pow.f64 t 4) 12 (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))))
(fma.f64 -16 (pow.f64 t 5) (.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 -8 (.f64 t 12))))))
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 (/.f64 (/.f64 12 t) t) (+.f64 4 (/.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 (+.f64 4 (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 4 (+.f64 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (/.f64 -16 (pow.f64 t 3)) (+.f64 4 (/.f64 -8 t))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (.f64 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 (/.f64 (/.f64 12 t) t) (+.f64 4 (/.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 (+.f64 4 (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 4 (+.f64 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (/.f64 -16 (pow.f64 t 3)) (+.f64 4 (/.f64 -8 t))))
1
(+.f64 1 t)
(+.f64 t 1)
(+.f64 1 t)
(+.f64 t 1)
(+.f64 1 t)
(+.f64 t 1)
t
(+.f64 1 t)
(+.f64 t 1)
(+.f64 1 t)
(+.f64 t 1)
(+.f64 1 t)
(+.f64 t 1)
t
(+.f64 1 t)
(+.f64 t 1)
(+.f64 1 t)
(+.f64 t 1)
(+.f64 1 t)
(+.f64 t 1)
(*.f64 64 (pow.f64 t 6))
(+.f64 (.f64 64 (pow.f64 t 6)) (.f64 -384 (pow.f64 t 7)))
(fma.f64 64 (pow.f64 t 6) (*.f64 -384 (pow.f64 t 7)))
(fma.f64 -384 (pow.f64 t 7) (*.f64 64 (pow.f64 t 6)))
(+.f64 (.f64 64 (pow.f64 t 6)) (+.f64 (.f64 -384 (pow.f64 t 7)) (*.f64 1344 (pow.f64 t 8))))
(fma.f64 64 (pow.f64 t 6) (fma.f64 -384 (pow.f64 t 7) (*.f64 1344 (pow.f64 t 8))))
(fma.f64 64 (pow.f64 t 6) (fma.f64 1344 (pow.f64 t 8) (*.f64 -384 (pow.f64 t 7))))
(+.f64 (.f64 64 (pow.f64 t 6)) (+.f64 (.f64 -384 (pow.f64 t 7)) (+.f64 (.f64 -3584 (pow.f64 t 9)) (.f64 1344 (pow.f64 t 8)))))
(fma.f64 64 (pow.f64 t 6) (fma.f64 -384 (pow.f64 t 7) (fma.f64 -3584 (pow.f64 t 9) (*.f64 1344 (pow.f64 t 8)))))
(fma.f64 64 (pow.f64 t 6) (fma.f64 -384 (pow.f64 t 7) (fma.f64 1344 (pow.f64 t 8) (*.f64 -3584 (pow.f64 t 9)))))
(fma.f64 -384 (pow.f64 t 7) (fma.f64 64 (pow.f64 t 6) (fma.f64 -3584 (pow.f64 t 9) (*.f64 1344 (pow.f64 t 8)))))
(fma.f64 64 (pow.f64 t 6) (fma.f64 1344 (pow.f64 t 8) (fma.f64 -3584 (pow.f64 t 9) (*.f64 -384 (pow.f64 t 7)))))
64
(-.f64 64 (*.f64 384 (/.f64 1 t)))
(-.f64 64 (/.f64 384 t))
(+.f64 64 (/.f64 -384 t))
(-.f64 (+.f64 (.f64 1344 (/.f64 1 (pow.f64 t 2))) 64) (.f64 384 (/.f64 1 t)))
(+.f64 (/.f64 1344 (*.f64 t t)) (-.f64 64 (/.f64 384 t)))
(+.f64 64 (-.f64 (/.f64 1344 (*.f64 t t)) (/.f64 384 t)))
(+.f64 64 (+.f64 (/.f64 1344 (*.f64 t t)) (/.f64 -384 t)))
(+.f64 (/.f64 1344 (*.f64 t t)) (+.f64 64 (/.f64 -384 t)))
(-.f64 (+.f64 (.f64 1344 (/.f64 1 (pow.f64 t 2))) 64) (+.f64 (.f64 384 (/.f64 1 t)) (*.f64 3584 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 64 (/.f64 1344 (*.f64 t t))) (+.f64 (/.f64 384 t) (/.f64 3584 (pow.f64 t 3))))
(+.f64 (/.f64 1344 (*.f64 t t)) (-.f64 64 (+.f64 (/.f64 384 t) (/.f64 3584 (pow.f64 t 3)))))
(+.f64 64 (+.f64 (+.f64 (/.f64 1344 (*.f64 t t)) (/.f64 -384 t)) (/.f64 -3584 (pow.f64 t 3))))
(+.f64 (/.f64 1344 (*.f64 t t)) (+.f64 64 (-.f64 (/.f64 -384 t) (/.f64 3584 (pow.f64 t 3)))))
(+.f64 64 (-.f64 (/.f64 -384 t) (-.f64 (/.f64 3584 (pow.f64 t 3)) (/.f64 1344 (*.f64 t t)))))
64
(-.f64 64 (*.f64 384 (/.f64 1 t)))
(-.f64 64 (/.f64 384 t))
(+.f64 64 (/.f64 -384 t))
(-.f64 (+.f64 (.f64 1344 (/.f64 1 (pow.f64 t 2))) 64) (.f64 384 (/.f64 1 t)))
(+.f64 (/.f64 1344 (*.f64 t t)) (-.f64 64 (/.f64 384 t)))
(+.f64 64 (-.f64 (/.f64 1344 (*.f64 t t)) (/.f64 384 t)))
(+.f64 64 (+.f64 (/.f64 1344 (*.f64 t t)) (/.f64 -384 t)))
(+.f64 (/.f64 1344 (*.f64 t t)) (+.f64 64 (/.f64 -384 t)))
(-.f64 (+.f64 (.f64 1344 (/.f64 1 (pow.f64 t 2))) 64) (+.f64 (.f64 384 (/.f64 1 t)) (*.f64 3584 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 64 (/.f64 1344 (*.f64 t t))) (+.f64 (/.f64 384 t) (/.f64 3584 (pow.f64 t 3))))
(+.f64 (/.f64 1344 (*.f64 t t)) (-.f64 64 (+.f64 (/.f64 384 t) (/.f64 3584 (pow.f64 t 3)))))
(+.f64 64 (+.f64 (+.f64 (/.f64 1344 (*.f64 t t)) (/.f64 -384 t)) (/.f64 -3584 (pow.f64 t 3))))
(+.f64 (/.f64 1344 (*.f64 t t)) (+.f64 64 (-.f64 (/.f64 -384 t) (/.f64 3584 (pow.f64 t 3)))))
(+.f64 64 (-.f64 (/.f64 -384 t) (-.f64 (/.f64 3584 (pow.f64 t 3)) (/.f64 1344 (*.f64 t t)))))

prune998.0ms (17.7%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	192	0	192
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	192	1	193

Error

Counts

193 → 1

Alt Table

Status	Error	Program
✓	0b	(exp.f64 (log1p.f64 (/.f64 -1 (+.f64 2 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 6))))))

Compiler

Compiled 4369 to 3974 computations (9% saved)

regimes25.0ms (0.4%)

Accuracy

Total -0.0b remaining (-∞%)

Threshold costs -0.0b (-∞%)

Counts

5 → 1

Calls

Call 1

Inputs
(exp.f64 (log1p.f64 (/.f64 -1 (+.f64 2 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 6))))))
(-.f64 1 (/.f64 1 (+.f64 2 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 6)))))
(exp.f64 (log1p.f64 (/.f64 -1 (+.f64 2 (pow.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))) 2)))))
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
(-.f64 1 (/.f64 1 (+.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
(exp.f64 (log1p.f64 (/.f64 -1 (+.f64 2 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 6))))))

Results

4.0ms	0b	`t`
3.0ms	0b	`(-.f64 1 (/.f64 1 (+.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	0b	`(/.f64 1 (+.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)))))))`
2.0ms	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))))))`
2.0ms	0b	`(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))`
2.0ms	0b	`(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))`
6.0ms	0b	`(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))`

Compiler

Compiled 238 to 205 computations (13.9% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	31
1	24	31

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f64 (log1p.f64 (/.f64 -1 (+.f64 2 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 6))))))

Outputs
(exp.f64 (log1p.f64 (/.f64 -1 (+.f64 2 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 (*.f64 t (+.f64 1 (/.f64 1 t))))) 6))))))

end24.0ms (0.4%)

Stop Event

1×

done

Compiler

Compiled 42 to 38 computations (9.5% saved)

Details

analyze293.0ms (5.2%)

sample1.4s (25.3%)

preprocess43.0ms (0.8%)

simplify32.0ms (0.6%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

series8.0ms (0.1%)

rewrite97.0ms (1.7%)

simplify52.0ms (0.9%)

prune1.5s (26.7%)

localize12.0ms (0.2%)

series3.0ms (0.1%)

rewrite79.0ms (1.4%)

simplify44.0ms (0.8%)

prune830.0ms (14.7%)

localize14.0ms (0.3%)

series5.0ms (0.1%)

rewrite78.0ms (1.4%)

simplify47.0ms (0.8%)

prune998.0ms (17.7%)

regimes25.0ms (0.4%)

simplify2.0ms (0%)

end24.0ms (0.4%)

Profiling