Details

analyze364.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6%	20.5%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.1%	16.6%	74.3%	14

sample69.0ms

Algorithm

intervals

Results

14.0ms	34×	body	640	valid
13.0ms	164×	body	80	valid
11.0ms	14×	body	1280	valid
9.0ms	34×	body	320	valid
2.0ms	10×	body	160	valid
0.0ms	5×	body	80	nan

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	657	20
1	657	20

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 11.7b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
0.3b	(*.f64 x (log.f64 y))
4.6b	(log.f64 (-.f64 1 y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_4411`
24×	`*-un-lft-identity_binary64_4426` `log-prod_binary64_4344`
13×	`add-cube-cbrt_binary64_4397`
11×	`pow1_binary64_4372`
9×	`distribute-rgt-in_binary64_4469` `add-exp-log_binary64_4390` `distribute-lft-in_binary64_4468` `add-log-exp_binary64_4391`
8×	`associate-r_binary64_4485` `add-cbrt-cube_binary64_4398`
7×	`difference-of-squares_binary64_4455`
6×	`associate-l_binary64_4486`
4×	`distribute-lft-out--_binary64_4471`
3×	`log-pow_binary64_4347`
2×	`*-commutative_binary64_4494` `unswap-sqr_binary64_4454` `log-div_binary64_4345` `flip--_binary64_4452` `pow-prod-down_binary64_4353` `prod-exp_binary64_4377` `flip3--_binary64_4425` `cbrt-unprod_binary64_4395` `diff-log_binary64_4342`
1×	`sub-neg_binary64_4430` `rem-log-exp_binary64_4389` `associate--l+_binary64_4482` `sum-log_binary64_4341`

Counts

4 → 88

Calls

4 calls:

7.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
7.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
7.0ms	(*.f64 x (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

series152.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
38.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
29.0ms	(*.f64 x (log.f64 y))
14.0ms	(log.f64 (-.f64 1 y))

simplify65.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5159	1530

prune404.0ms

Filtered

69 candidates to 100 candidates (-44.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	93	7	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	7	101

Merged error: 0.0b

Counts

101 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 z (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (.f64 y 1/3) 1/2))))
0.0b	(.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2))
0.3b	(*.f64 x (log.f64 y))
0.4b	(*.f64 y 1/3)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_4411`
16×	`pow1_binary64_4372`
15×	`add-exp-log_binary64_4390` `add-cbrt-cube_binary64_4398`
13×	`associate-r_binary64_4485` `*-un-lft-identity_binary64_4426` `add-cube-cbrt_binary64_4397`
10×	`associate-l_binary64_4486`
6×	`log-prod_binary64_4344` `pow-prod-down_binary64_4353` `prod-exp_binary64_4377` `cbrt-unprod_binary64_4395`
5×	`distribute-rgt-in_binary64_4469` `distribute-lft-in_binary64_4468`
4×	`-commutative_binary64_4494` `unswap-sqr_binary64_4454` `associate-r/_binary64_4487` `add-log-exp_binary64_4391`
2×	`sub-neg_binary64_4430`
1×	`flip-+_binary64_4451` `log-pow_binary64_4347` `flip--_binary64_4452` `flip3-+_binary64_4424` `flip3--_binary64_4425`

Counts

4 → 88

Calls

4 calls:

7.0ms	(.f64 z (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (.f64 y 1/3) 1/2))))
9.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2))
4.0ms	(*.f64 x (log.f64 y))
4.0ms	(*.f64 y 1/3)

series164.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(.f64 z (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (.f64 y 1/3) 1/2))))
48.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2))
33.0ms	(*.f64 x (log.f64 y))
13.0ms	(*.f64 y 1/3)

simplify47.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5292	1357

prune400.0ms

Filtered

68 candidates to 100 candidates (-47.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	99	8	107

Merged error: 0.0b

Counts

107 → 8

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (.f64 z (.f64 y (-.f64 -1 (.f64 y (+.f64 (.f64 y 1/3) 1/2))))) 3)
0.3b	(*.f64 x (log.f64 y))
0.4b	(*.f64 y 1/3)
28.9b	(cbrt.f64 (pow.f64 (.f64 z (.f64 y (-.f64 -1 (.f64 y (+.f64 (.f64 y 1/3) 1/2))))) 3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_4411`
15×	`pow1_binary64_4372`
14×	`add-exp-log_binary64_4390` `add-cbrt-cube_binary64_4398`
12×	`*-un-lft-identity_binary64_4426` `add-cube-cbrt_binary64_4397`
8×	`associate-*r/_binary64_4487` `cbrt-prod_binary64_4393`
7×	`associate-r_binary64_4485`
6×	`associate-l_binary64_4486` `log-prod_binary64_4344`
5×	`pow-prod-down_binary64_4353` `prod-exp_binary64_4377` `cbrt-unprod_binary64_4395`
4×	`cube-div_binary64_4400` `add-log-exp_binary64_4391`
3×	`distribute-rgt-in_binary64_4469` `rem-cube-cbrt_binary64_4402` `pow-unpow_binary64_4359` `pow-pow_binary64_4354` `distribute-lft-in_binary64_4468` `pow-exp_binary64_4350`
2×	`*-commutative_binary64_4494` `unswap-sqr_binary64_4454` `cbrt-div_binary64_4394` `cube-prod_binary64_4399` `flip--_binary64_4452` `unpow-prod-down_binary64_4361` `cube-mult_binary64_4401` `sqr-pow_binary64_4458` `flip3--_binary64_4425` `unpow3_binary64_4370`
1×	`log-pow_binary64_4347` `rem-cbrt-cube_binary64_4403` `pow1/3_binary64_4364` `pow-to-exp_binary64_4351`

Counts

4 → 89

Calls

4 calls:

8.0ms	(pow.f64 (.f64 z (.f64 y (-.f64 -1 (.f64 y (+.f64 (.f64 y 1/3) 1/2))))) 3)
4.0ms	(*.f64 x (log.f64 y))
4.0ms	(*.f64 y 1/3)
3.0ms	(cbrt.f64 (pow.f64 (.f64 z (.f64 y (-.f64 -1 (.f64 y (+.f64 (.f64 y 1/3) 1/2))))) 3))

series223.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(pow.f64 (.f64 z (.f64 y (-.f64 -1 (.f64 y (+.f64 (.f64 y 1/3) 1/2))))) 3)
36.0ms	(*.f64 x (log.f64 y))
13.0ms	(*.f64 y 1/3)
77.0ms	(cbrt.f64 (pow.f64 (.f64 z (.f64 y (-.f64 -1 (.f64 y (+.f64 (.f64 y 1/3) 1/2))))) 3))

simplify73.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5573	1736

prune379.0ms

Filtered

69 candidates to 101 candidates (-46.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	101	8	109

Merged error: 0.0b

Counts

109 → 8

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 y))
9.8b	(+.f64 (.f64 (log.f64 (+.f64 1 (sqrt.f64 y))) z) (.f64 (log.f64 (-.f64 1 (sqrt.f64 y))) z))
12.7b	(log.f64 (+.f64 1 (sqrt.f64 y)))
13.0b	(log.f64 (-.f64 1 (sqrt.f64 y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_4411` `log-prod_binary64_4344`
18×	`*-un-lft-identity_binary64_4426`
10×	`add-cube-cbrt_binary64_4397`
9×	`pow1_binary64_4372`
8×	`add-exp-log_binary64_4390`
6×	`add-cbrt-cube_binary64_4398` `add-log-exp_binary64_4391`
4×	`associate-r_binary64_4485` `log-div_binary64_4345` `difference-of-squares_binary64_4455` `sqrt-prod_binary64_4405`
3×	`distribute-rgt-in_binary64_4469` `log-pow_binary64_4347` `associate-l_binary64_4486` `distribute-lft-in_binary64_4468`
2×	`flip-+_binary64_4451` `distribute-lft-out--_binary64_4471` `flip3-+_binary64_4424` `rem-log-exp_binary64_4389` `distribute-lft-out_binary64_4470`
1×	`*-commutative_binary64_4494` `unswap-sqr_binary64_4454` `distribute-rgt-out_binary64_4472` `flip--_binary64_4452` `pow-prod-down_binary64_4353` `+-commutative_binary64_4493` `prod-exp_binary64_4377` `flip3--_binary64_4425` `cbrt-unprod_binary64_4395` `sum-log_binary64_4341`

Counts

4 → 73

Calls

4 calls:

4.0ms	(*.f64 x (log.f64 y))
5.0ms	(+.f64 (.f64 (log.f64 (+.f64 1 (sqrt.f64 y))) z) (.f64 (log.f64 (-.f64 1 (sqrt.f64 y))) z))
4.0ms	(log.f64 (+.f64 1 (sqrt.f64 y)))
11.0ms	(log.f64 (-.f64 1 (sqrt.f64 y)))

series228.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(*.f64 x (log.f64 y))
129.0ms	(+.f64 (.f64 (log.f64 (+.f64 1 (sqrt.f64 y))) z) (.f64 (log.f64 (-.f64 1 (sqrt.f64 y))) z))
29.0ms	(log.f64 (+.f64 1 (sqrt.f64 y)))
38.0ms	(log.f64 (-.f64 1 (sqrt.f64 y)))

simplify76.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5610	1891

prune27.0ms

Filtered: 61 candidates to 85 candidates (-39.3%)

Details

analyze364.0ms

sample69.0ms

simplify40.0ms

prune8.0ms

localize16.0ms

rewrite28.0ms

series152.0ms

simplify65.0ms

prune404.0ms

localize24.0ms

rewrite27.0ms

series164.0ms

simplify47.0ms

prune400.0ms

localize36.0ms

rewrite22.0ms

series223.0ms

simplify73.0ms

prune379.0ms

localize25.0ms

rewrite26.0ms

series228.0ms

simplify76.0ms

prune27.0ms

Profiling