Details

analyze329.0ms (7.6%)

Algorithm

1×

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

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample51.0ms (1.2%)

Algorithm

1×

intervals

Results

13.0ms	181×	body	128	valid
12.0ms	23×	body	1024	valid
10.0ms	36×	body	512	valid
2.0ms	15×	body	256	valid
1.0ms	1×	body	2048	valid
1.0ms	8×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 27 to 29 computations (-7.4% saved)

simplify190.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	625	20
1	625	20

prune3.0ms (0.1%)

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: 9.6b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize11.0ms (0.3%)

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))
5.2b	(log.f64 (-.f64 1 y))

rewrite32.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_12230`
24×	`*-un-lft-identity_binary64_12209` `log-prod_binary64_12292`
13×	`add-cube-cbrt_binary64_12241`
11×	`pow1_binary64_12267`
9×	`add-log-exp_binary64_12245` `distribute-rgt-in_binary64_12161` `add-exp-log_binary64_12244` `distribute-lft-in_binary64_12160`
8×	`add-cbrt-cube_binary64_12242` `associate-r_binary64_12151`
7×	`difference-of-squares_binary64_12178`
6×	`associate-l_binary64_12152`
4×	`distribute-lft-out--_binary64_12163`
3×	`log-pow_binary64_12295`
2×	`unswap-sqr_binary64_12177` `cbrt-unprod_binary64_12239` `*-commutative_binary64_12142` `diff-log_binary64_12298` `flip--_binary64_12184` `prod-exp_binary64_12255` `log-div_binary64_12293` `flip3--_binary64_12213` `pow-prod-down_binary64_12277`
1×	`rem-log-exp_binary64_12247` `associate--l+_binary64_12148` `sub-neg_binary64_12202` `sum-log_binary64_12297`

Counts

4 → 88

Calls

4 calls:

8.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
8.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
5.0ms	(*.f64 x (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

series295.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

133.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
78.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
57.0ms	(*.f64 x (log.f64 y))
27.0ms	(log.f64 (-.f64 1 y))

simplify82.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4919	1518
1	4919	1518

prune128.0ms (3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	92	8	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	8	101

Merged error: 0.1b

Counts

101 → 8

Compiler

Compiled 2069 to 1140 computations (44.9% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite32.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_12230`
14×	`*-un-lft-identity_binary64_12209` `add-cube-cbrt_binary64_12241`
13×	`pow1_binary64_12267` `associate-r_binary64_12151`
12×	`add-cbrt-cube_binary64_12242` `add-exp-log_binary64_12244` `associate-l_binary64_12152`
6×	`log-prod_binary64_12292`
5×	`distribute-rgt-in_binary64_12161` `distribute-lft-in_binary64_12160`
4×	`unswap-sqr_binary64_12177` `cbrt-unprod_binary64_12239` `add-log-exp_binary64_12245` `-commutative_binary64_12142` `prod-exp_binary64_12255` `pow-prod-down_binary64_12277` `associate-r/_binary64_12153`
2×	`sub-neg_binary64_12202`
1×	`flip3-+_binary64_12212` `log-pow_binary64_12295` `flip--_binary64_12184` `flip-+_binary64_12183` `flip3--_binary64_12213`

Counts

4 → 87

Calls

4 calls:

7.0ms	(.f64 y (+.f64 (.f64 y 1/3) 1/2))
7.0ms	(*.f64 x (log.f64 y))
6.0ms	(.f64 y (-.f64 -1 (.f64 y (+.f64 (*.f64 y 1/3) 1/2))))
4.0ms	(*.f64 y 1/3)

series188.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

76.0ms	(.f64 y (+.f64 (.f64 y 1/3) 1/2))
50.0ms	(*.f64 x (log.f64 y))
39.0ms	(.f64 y (-.f64 -1 (.f64 y (+.f64 (*.f64 y 1/3) 1/2))))
22.0ms	(*.f64 y 1/3)

simplify67.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4897	1174
1	4897	1174

prune126.0ms (2.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	97	10	107

Merged error: 0.1b

Counts

107 → 10

Compiler

Compiled 2703 to 1632 computations (39.6% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 y))
0.3b	(*.f64 y 1/3)
0.3b	(*.f64 y 1/3)
0.3b	(*.f64 y 1/3)

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_12230`
14×	`*-un-lft-identity_binary64_12209` `add-cube-cbrt_binary64_12241`
13×	`pow1_binary64_12267` `associate-r_binary64_12151`
12×	`add-cbrt-cube_binary64_12242` `add-exp-log_binary64_12244` `associate-l_binary64_12152`
6×	`log-prod_binary64_12292`
4×	`unswap-sqr_binary64_12177` `cbrt-unprod_binary64_12239` `add-log-exp_binary64_12245` `*-commutative_binary64_12142` `prod-exp_binary64_12255` `pow-prod-down_binary64_12277`
3×	`distribute-rgt-in_binary64_12161` `distribute-lft-in_binary64_12160`
1×	`log-pow_binary64_12295`

Counts

4 → 79

Calls

4 calls:

7.0ms	(*.f64 x (log.f64 y))
4.0ms	(*.f64 y 1/3)
4.0ms	(*.f64 y 1/3)
4.0ms	(*.f64 y 1/3)

series121.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

51.0ms	(*.f64 x (log.f64 y))
25.0ms	(*.f64 y 1/3)
24.0ms	(*.f64 y 1/3)
21.0ms	(*.f64 y 1/3)

simplify81.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4882	652
1	4882	652

prune213.0ms (5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	91	10	101

Merged error: 0.1b

Counts

101 → 10

Compiler

Compiled 4425 to 3103 computations (29.9% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (sqrt.f64 y) (-.f64 -1 (.f64 y (+.f64 (*.f64 y 1/3) 1/2))))
0.3b	(*.f64 x (log.f64 y))
0.3b	(*.f64 y 1/3)
0.6b	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (-.f64 -1 (.f64 y (+.f64 (.f64 y 1/3) 1/2)))))

rewrite37.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_12230`
18×	`associate-l_binary64_12152`
16×	`pow1_binary64_12267`
15×	`add-cbrt-cube_binary64_12242` `add-exp-log_binary64_12244` `*-un-lft-identity_binary64_12209` `add-cube-cbrt_binary64_12241`
11×	`associate-r_binary64_12151`
8×	`distribute-rgt-in_binary64_12161` `distribute-lft-in_binary64_12160`
7×	`sqrt-prod_binary64_12224`
6×	`cbrt-unprod_binary64_12239` `prod-exp_binary64_12255` `log-prod_binary64_12292` `sub-neg_binary64_12202` `pow-prod-down_binary64_12277` `associate-*r/_binary64_12153`
4×	`unswap-sqr_binary64_12177` `add-log-exp_binary64_12245` `*-commutative_binary64_12142`
2×	`flip--_binary64_12184` `flip3--_binary64_12213`
1×	`log-pow_binary64_12295`

Counts

4 → 96

Calls

4 calls:

11.0ms	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (-.f64 -1 (.f64 y (+.f64 (.f64 y 1/3) 1/2)))))
7.0ms	(.f64 (sqrt.f64 y) (-.f64 -1 (.f64 y (+.f64 (*.f64 y 1/3) 1/2))))
5.0ms	(*.f64 x (log.f64 y))
4.0ms	(*.f64 y 1/3)

series195.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

69.0ms	(.f64 (sqrt.f64 y) (-.f64 -1 (.f64 y (+.f64 (*.f64 y 1/3) 1/2))))
50.0ms	(*.f64 x (log.f64 y))
45.0ms	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (-.f64 -1 (.f64 y (+.f64 (.f64 y 1/3) 1/2)))))
30.0ms	(*.f64 y 1/3)

simplify46.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5008	1703

prune138.0ms (3.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	7	7
Picked	1	0	1
Done	0	2	2
Total	108	10	118

Merged error: 0.1b

Counts

118 → 10

Compiler

Compiled 3127 to 1711 computations (45.3% saved)

regimes110.0ms (2.5%)

Compiler: Compiled 1176 to 952 computations (19% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	84	30
1	84	30

end0.0ms (0%)

sample1.7s (40.6%)

Algorithm

1×

intervals

Results

444.0ms	5793×	body	128	valid
356.0ms	679×	body	1024	valid
234.0ms	870×	body	512	valid
103.0ms	637×	body	256	valid
19.0ms	250×	body	128	nan
15.0ms	21×	body	2048	valid
3.0ms	41×	body	128	invalid

Compiler

Compiled 357 to 288 computations (19.3% saved)

Details

analyze329.0ms (7.6%)

sample51.0ms (1.2%)

simplify190.0ms (4.4%)

prune3.0ms (0.1%)

localize11.0ms (0.3%)

rewrite32.0ms (0.7%)

series295.0ms (6.9%)

simplify82.0ms (1.9%)

prune128.0ms (3%)

localize15.0ms (0.4%)

rewrite32.0ms (0.8%)

series188.0ms (4.4%)

simplify67.0ms (1.6%)

prune126.0ms (2.9%)

localize21.0ms (0.5%)

rewrite30.0ms (0.7%)

series121.0ms (2.8%)

simplify81.0ms (1.9%)

prune213.0ms (5%)

localize17.0ms (0.4%)

rewrite37.0ms (0.9%)

series195.0ms (4.5%)

simplify46.0ms (1.1%)

prune138.0ms (3.2%)

regimes110.0ms (2.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.7s (40.6%)

Profiling