Details

analyze608.0ms (7.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5332	140
0	4	4
1	4	4

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)

sample49.0ms (0.6%)

Algorithm

1×

intervals

Results

12.0ms	183×	body	128	valid
12.0ms	24×	body	1024	valid
8.0ms	32×	body	512	valid
2.0ms	16×	body	256	valid
1.0ms	1×	body	2048	valid
1.0ms	9×	body	128	nan
0.0ms	3×	body	128	invalid

Compiler

Compiled 27 to 29 computations (-7.4% saved)

simplify36.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	657	20
1	657	20

prune3.0ms (0%)

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

Error

10.0b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
0.3b	(*.f64 x (log.f64 y))
4.8b	(log.f64 (-.f64 1 y))

rewrite110.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

9.6b

Rules

25×	`add-sqr-sqrt_binary64_8625`
24×	`log-prod_binary64_8689`
21×	`*-un-lft-identity_binary64_8603`
12×	`add-cube-cbrt_binary64_8638`
10×	`pow1_binary64_8664`
9×	`distribute-rgt-in_binary64_8553` `distribute-lft-in_binary64_8552`
8×	`add-exp-log_binary64_8641` `associate-r_binary64_8543`
7×	`add-cbrt-cube_binary64_8639`
6×	`difference-of-squares_binary64_8572` `associate-l_binary64_8544`
3×	`log-pow_binary64_8692` `distribute-lft-out--_binary64_8555` `add-log-exp_binary64_8642`
2×	`log-div_binary64_8690` `pow-prod-down_binary64_8674` `prod-exp_binary64_8652` `cbrt-unprod_binary64_8636` `unswap-sqr_binary64_8571` `*-commutative_binary64_8534`
1×	`flip3--_binary64_8607` `flip--_binary64_8578` `rem-log-exp_binary64_8644`

Counts

3 → 73

Calls

3 calls:

8.0ms	(*.f64 x (log.f64 y))
7.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
4.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 1419 to 775 computations (45.4% saved)

series268.0ms (3.5%)

Error

0.2b

Counts

3 → 21

Calls

3 calls:

114.0ms	(*.f64 x (log.f64 y))
107.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
26.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 928 to 712 computations (23.3% saved)

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5258	1112

prune100.0ms (1.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	86	8	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	8	95

Error

0.0b

Counts

95 → 8

Compiler

Compiled 1813 to 985 computations (45.7% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 z (+.f64 (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) y) (*.f64 (pow.f64 y 4) -1/4)))
0.0b	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
0.3b	(*.f64 x (log.f64 y))
0.4b	(*.f64 y 1/3)

rewrite177.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-sqr-sqrt_binary64_8625`
16×	`pow1_binary64_8664`
15×	`add-exp-log_binary64_8641` `add-cbrt-cube_binary64_8639`
13×	`add-cube-cbrt_binary64_8638` `-un-lft-identity_binary64_8603` `associate-r*_binary64_8543`
10×	`associate-l_binary64_8544`
6×	`pow-prod-down_binary64_8674` `prod-exp_binary64_8652` `cbrt-unprod_binary64_8636` `log-prod_binary64_8689` `distribute-rgt-in_binary64_8553` `distribute-lft-in_binary64_8552`
4×	`add-log-exp_binary64_8642` `unswap-sqr_binary64_8571` `-commutative_binary64_8534` `associate-r/_binary64_8545`
2×	`sub-neg_binary64_8596` `cancel-sign-sub-inv_binary64_8569`
1×	`log-pow_binary64_8692` `flip3--_binary64_8607` `flip--_binary64_8578` `flip3-+_binary64_8606` `flip-+_binary64_8577`

Counts

4 → 90

Calls

4 calls:

13.0ms	(.f64 z (+.f64 (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) y) (*.f64 (pow.f64 y 4) -1/4)))
8.0ms	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
4.0ms	(*.f64 x (log.f64 y))
4.0ms	(*.f64 y 1/3)

Compiler

Compiled 3121 to 1793 computations (42.6% saved)

series463.0ms (6%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

192.0ms	(.f64 z (+.f64 (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) y) (*.f64 (pow.f64 y 4) -1/4)))
142.0ms	(*.f64 x (log.f64 y))
71.0ms	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
20.0ms	(*.f64 y 1/3)

Compiler

Compiled 1990 to 1487 computations (25.3% saved)

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5288	1884

prune174.0ms (2.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	120	8	128

Error

0.0b

Counts

128 → 8

Compiler

Compiled 3843 to 2273 computations (40.9% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
0.4b	(*.f64 y 1/3)
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)

rewrite190.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`log-prod_binary64_8689`
30×	`distribute-rgt-in_binary64_8553` `distribute-lft-in_binary64_8552`
24×	`cbrt-prod_binary64_8634` `associate-+l+_binary64_8536`
22×	`add-sqr-sqrt_binary64_8625`
20×	`add-cube-cbrt_binary64_8638` `*-un-lft-identity_binary64_8603`
12×	`associate-+r+_binary64_8535`
6×	`pow1_binary64_8664` `add-log-exp_binary64_8642` `add-exp-log_binary64_8641` `add-cbrt-cube_binary64_8639`
3×	`associate-l_binary64_8544` `associate-r_binary64_8543`
2×	`pow1/3_binary64_8685`
1×	`pow-prod-down_binary64_8674` `prod-exp_binary64_8652` `cbrt-unprod_binary64_8636` `unswap-sqr_binary64_8571` `*-commutative_binary64_8534` `sum-log_binary64_8694` `flip3-+_binary64_8606` `flip-+_binary64_8577` `distribute-lft-out_binary64_8554` `+-commutative_binary64_8533`

Counts

4 → 88

Calls

4 calls:

11.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
4.0ms	(*.f64 y 1/3)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 3761 to 1942 computations (48.4% saved)

series490.0ms (6.3%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

280.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
83.0ms	(cbrt.f64 y)
82.0ms	(cbrt.f64 y)
22.0ms	(*.f64 y 1/3)

Compiler

Compiled 1554 to 1166 computations (25% saved)

simplify102.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5023	1031

prune185.0ms (2.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	103	8	111

Error

0.0b

Counts

111 → 8

Compiler

Compiled 4127 to 2273 computations (44.9% saved)

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (pow.f64 y 1/3))))
0.4b	(*.f64 y 1/3)
0.7b	(cbrt.f64 y)
5.1b	(pow.f64 y 1/3)

rewrite224.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

38×	`log-prod_binary64_8689`
31×	`distribute-rgt-in_binary64_8553` `distribute-lft-in_binary64_8552`
24×	`associate-+l+_binary64_8536`
23×	`add-sqr-sqrt_binary64_8625`
21×	`add-cube-cbrt_binary64_8638` `*-un-lft-identity_binary64_8603`
15×	`cbrt-prod_binary64_8634`
14×	`associate-+r+_binary64_8535`
9×	`unpow-prod-down_binary64_8682`
7×	`pow1_binary64_8664` `add-exp-log_binary64_8641`
6×	`add-log-exp_binary64_8642` `add-cbrt-cube_binary64_8639`
3×	`pow-unpow_binary64_8680` `sqr-pow_binary64_8575` `associate-l_binary64_8544` `associate-r_binary64_8543`
1×	`pow-pow_binary64_8675` `pow-to-exp_binary64_8672` `pow-exp_binary64_8671` `unpow1/3_binary64_8670` `pow1/3_binary64_8685` `pow-prod-down_binary64_8674` `prod-exp_binary64_8652` `cbrt-unprod_binary64_8636` `unswap-sqr_binary64_8571` `*-commutative_binary64_8534` `sum-log_binary64_8694` `flip3-+_binary64_8606` `flip-+_binary64_8577` `distribute-lft-out_binary64_8554` `+-commutative_binary64_8533`

Counts

4 → 97

Calls

4 calls:

12.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (pow.f64 y 1/3))))
4.0ms	(*.f64 y 1/3)
2.0ms	(pow.f64 y 1/3)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 4250 to 2624 computations (38.3% saved)

series544.0ms (7%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

342.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (pow.f64 y 1/3))))
81.0ms	(cbrt.f64 y)
75.0ms	(pow.f64 y 1/3)
21.0ms	(*.f64 y 1/3)

Compiler

Compiled 1620 to 1255 computations (22.5% saved)

simplify83.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5090	944

prune185.0ms (2.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	112	8	120

Error

0.0b

Counts

120 → 8

Compiler

Compiled 4194 to 2478 computations (40.9% saved)

regimes746.0ms (9.6%)

Accuracy

Total 0.3b remaining (95%)

Threshold costs 0.3b (95%)

Compiler

Compiled 10406 to 7986 computations (23.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	65	39
1	65	39

end0.0ms (0%)

sample2.8s (36.3%)

Algorithm

1×

intervals

Results

404.0ms	5832×	body	128	valid
324.0ms	671×	body	1024	valid
219.0ms	846×	body	512	valid
93.0ms	634×	body	256	valid
20.0ms	239×	body	128	nan
11.0ms	17×	body	2048	valid
2.0ms	25×	body	128	invalid

Compiler

Compiled 1796 to 1380 computations (23.2% saved)

Details

analyze608.0ms (7.8%)

sample49.0ms (0.6%)

simplify36.0ms (0.5%)

prune3.0ms (0%)

localize11.0ms (0.1%)

rewrite110.0ms (1.4%)

series268.0ms (3.5%)

simplify69.0ms (0.9%)

prune100.0ms (1.3%)

localize18.0ms (0.2%)

rewrite177.0ms (2.3%)

series463.0ms (6%)

simplify49.0ms (0.6%)

prune174.0ms (2.2%)

localize24.0ms (0.3%)

rewrite190.0ms (2.4%)

series490.0ms (6.3%)

simplify102.0ms (1.3%)

prune185.0ms (2.4%)

localize34.0ms (0.4%)

rewrite224.0ms (2.9%)

series544.0ms (7%)

simplify83.0ms (1.1%)

prune185.0ms (2.4%)

regimes746.0ms (9.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.8s (36.3%)

Profiling