Details

analyze318.0ms (6.3%)

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)

sample44.0ms (0.9%)

Algorithm

1×

intervals

Results

13.0ms	195×	body	128	valid
12.0ms	23×	body	1024	valid
6.0ms	21×	body	512	valid
2.0ms	17×	body	256	valid
0.0ms	6×	body	128	nan

Compiler

Compiled 27 to 29 computations (-7.4% saved)

simplify184.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	625	20
1	625	20

prune6.0ms (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: 8.2b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
0.0b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
0.2b	(*.f64 x (log.f64 y))
5.0b	(log.f64 (-.f64 1 y))

rewrite31.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_11556`
24×	`*-un-lft-identity_binary64_11535` `log-prod_binary64_11618`
13×	`add-cube-cbrt_binary64_11567`
11×	`pow1_binary64_11593`
9×	`distribute-lft-in_binary64_11486` `distribute-rgt-in_binary64_11487` `add-log-exp_binary64_11571` `add-exp-log_binary64_11570`
8×	`add-cbrt-cube_binary64_11568` `associate-r_binary64_11477`
7×	`difference-of-squares_binary64_11504`
6×	`associate-l_binary64_11478`
4×	`distribute-lft-out--_binary64_11489`
3×	`log-pow_binary64_11621`
2×	`flip3--_binary64_11539` `unswap-sqr_binary64_11503` `cbrt-unprod_binary64_11565` `diff-log_binary64_11624` `flip--_binary64_11510` `log-div_binary64_11619` `*-commutative_binary64_11468` `prod-exp_binary64_11581` `pow-prod-down_binary64_11603`
1×	`rem-log-exp_binary64_11573` `sum-log_binary64_11623` `sub-neg_binary64_11528` `associate--l+_binary64_11474`

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)))
5.0ms	(*.f64 x (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

series279.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

126.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
72.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
54.0ms	(*.f64 x (log.f64 y))
26.0ms	(log.f64 (-.f64 1 y))

simplify85.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4919	1518
1	4919	1518

prune112.0ms (2.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	94	6	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	6	101

Merged error: 0.1b

Counts

101 → 6

Compiler

Compiled 1998 to 1081 computations (45.9% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (log.f64 y)) (.f64 z (.f64 y (-.f64 -1 (.f64 y (+.f64 (*.f64 y 1/3) 1/2))))))
0.0b	(.f64 y (-.f64 -1 (.f64 y (+.f64 (*.f64 y 1/3) 1/2))))
0.2b	(*.f64 x (log.f64 y))
0.4b	(*.f64 y 1/3)

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_11556`
14×	`add-cube-cbrt_binary64_11567` `*-un-lft-identity_binary64_11535`
12×	`log-prod_binary64_11618`
11×	`pow1_binary64_11593` `distribute-lft-in_binary64_11486` `distribute-rgt-in_binary64_11487`
10×	`add-cbrt-cube_binary64_11568` `associate-r_binary64_11477` `add-exp-log_binary64_11570`
9×	`associate-l_binary64_11478`
6×	`associate-+l+_binary64_11470` `sub-neg_binary64_11528` `add-log-exp_binary64_11571`
4×	`associate-+r+_binary64_11469`
3×	`unswap-sqr_binary64_11503` `cbrt-unprod_binary64_11565` `*-commutative_binary64_11468` `prod-exp_binary64_11581` `pow-prod-down_binary64_11603`
2×	`associate-*r/_binary64_11479`
1×	`flip3--_binary64_11539` `log-pow_binary64_11621` `+-commutative_binary64_11467` `sum-log_binary64_11623` `flip--_binary64_11510` `flip-+_binary64_11509` `flip3-+_binary64_11538`

Counts

4 → 86

Calls

4 calls:

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

series277.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

170.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (.f64 y (-.f64 -1 (.f64 y (+.f64 (*.f64 y 1/3) 1/2))))))
50.0ms	(*.f64 x (log.f64 y))
36.0ms	(.f64 y (-.f64 -1 (.f64 y (+.f64 (*.f64 y 1/3) 1/2))))
20.0ms	(*.f64 y 1/3)

simplify58.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5193	1579

prune125.0ms (2.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	98	6	104

Merged error: 0.1b

Counts

104 → 6

Compiler

Compiled 2672 to 1554 computations (41.8% saved)

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_11563`
23×	`add-sqr-sqrt_binary64_11556`
15×	`add-cube-cbrt_binary64_11567` `*-un-lft-identity_binary64_11535`
11×	`pow1_binary64_11593`
9×	`pow1/3_binary64_11614`
6×	`associate-l_binary64_11478` `associate-r_binary64_11477` `add-exp-log_binary64_11570` `swap-sqr_binary64_11502`
4×	`unswap-sqr_binary64_11503` `add-cbrt-cube_binary64_11568` `add-log-exp_binary64_11571`
2×	`pow-prod-up_binary64_11602` `pow-sqr_binary64_11508` `pow-prod-down_binary64_11603`
1×	`pow2_binary64_11613` `cbrt-unprod_binary64_11565` `*-commutative_binary64_11468` `prod-exp_binary64_11581` `pow-plus_binary64_11595`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series627.0ms (12.5%)

Counts

4 → 12

Calls

4 calls:

180.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
156.0ms	(cbrt.f64 y)
147.0ms	(cbrt.f64 y)
144.0ms	(cbrt.f64 y)

simplify76.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4957	563
1	4957	563

prune125.0ms (2.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	84	7	91

Merged error: 0.1b

Counts

91 → 7

Compiler

Compiled 2936 to 1524 computations (48.1% saved)

localize28.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
5.2b	(pow.f64 y 1/3)

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_11556`
22×	`cbrt-prod_binary64_11563`
16×	`add-cube-cbrt_binary64_11567` `*-un-lft-identity_binary64_11535`
12×	`pow1_binary64_11593`
8×	`pow1/3_binary64_11614`
7×	`add-exp-log_binary64_11570`
6×	`associate-l_binary64_11478` `associate-r_binary64_11477` `swap-sqr_binary64_11502`
4×	`unswap-sqr_binary64_11503` `add-cbrt-cube_binary64_11568` `add-log-exp_binary64_11571`
3×	`unpow-prod-down_binary64_11611` `pow-unpow_binary64_11609`
2×	`pow-prod-up_binary64_11602` `pow-sqr_binary64_11508` `pow-prod-down_binary64_11603`
1×	`sqr-pow_binary64_11507` `pow2_binary64_11613` `pow-to-exp_binary64_11601` `cbrt-unprod_binary64_11565` `unpow1/3_binary64_11599` `pow-pow_binary64_11604` `*-commutative_binary64_11468` `pow-exp_binary64_11600` `prod-exp_binary64_11581` `pow-plus_binary64_11595`

Counts

4 → 80

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
3.0ms	(pow.f64 y 1/3)
2.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series626.0ms (12.5%)

Counts

4 → 12

Calls

4 calls:

185.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
153.0ms	(cbrt.f64 y)
145.0ms	(pow.f64 y 1/3)
143.0ms	(cbrt.f64 y)

simplify61.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4911	530
1	4911	530

prune136.0ms (2.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	92	7	99

Merged error: 0.1b

Counts

99 → 7

Compiler

Compiled 3044 to 1782 computations (41.5% saved)

regimes86.0ms (1.7%)

Compiler: Compiled 804 to 644 computations (19.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	91	47
1	91	47

end0.0ms (0%)

sample1.6s (32%)

Algorithm

1×

intervals

Results

421.0ms	5830×	body	128	valid
325.0ms	650×	body	1024	valid
224.0ms	861×	body	512	valid
94.0ms	635×	body	256	valid
19.0ms	260×	body	128	nan
17.0ms	24×	body	2048	valid
2.0ms	30×	body	128	invalid

Compiler

Compiled 274 to 216 computations (21.2% saved)

Details

analyze318.0ms (6.3%)

sample44.0ms (0.9%)

simplify184.0ms (3.7%)

prune6.0ms (0.1%)

localize11.0ms (0.2%)

rewrite31.0ms (0.6%)

series279.0ms (5.6%)

simplify85.0ms (1.7%)

prune112.0ms (2.2%)

localize17.0ms (0.3%)

rewrite29.0ms (0.6%)

series277.0ms (5.5%)

simplify58.0ms (1.2%)

prune125.0ms (2.5%)

localize23.0ms (0.5%)

rewrite18.0ms (0.4%)

series627.0ms (12.5%)

simplify76.0ms (1.5%)

prune125.0ms (2.5%)

localize28.0ms (0.6%)

rewrite20.0ms (0.4%)

series626.0ms (12.5%)

simplify61.0ms (1.2%)

prune136.0ms (2.7%)

regimes86.0ms (1.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.6s (32%)

Profiling