Details

analyze224.0ms (3.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5050	41
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	74.9%	25.1%	0
0%	74.9%	25.1%	1
37.5%	37.5%	25.1%	2
37.5%	18.7%	43.8%	3
46.8%	9.4%	43.8%	4
51.5%	4.7%	43.8%	5
51.5%	2.3%	46.1%	6
52.7%	1.2%	46.1%	7
53.3%	0.6%	46.1%	8
53.3%	0.3%	46.4%	9
53.4%	0.1%	46.4%	10
53.5%	0.1%	46.4%	11
53.5%	0%	46.5%	12
53.5%	0%	46.5%	13
53.5%	0%	46.5%	14

Compiler

Compiled 70 to 33 computations (52.9% saved)

sample39.0ms (0.6%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	128	valid
3.0ms	256×	pre	128	true

Compiler

Compiled 137 to 65 computations (52.6% saved)

simplify128.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	5050	41

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

Error

0.1b

Counts

2 → 2

Compiler

Compiled 119 to 75 computations (37% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/21 (pow.f64 x 6))
0.1b	(.f64 (fabs.f64 x) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 PI.f64)))
0.2b	(.f64 2/3 (.f64 x x))
1.0b	(sqrt.f64 PI.f64)

rewrite248.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

38×	`add-sqr-sqrt_binary64_2487`
30×	`associate-r_binary64_2405`
23×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
20×	`times-frac_binary64_2471`
19×	`add-exp-log_binary64_2503`
16×	`add-cbrt-cube_binary64_2501`
13×	`sqrt-prod_binary64_2481`
12×	`pow1_binary64_2526`
9×	`associate-l_binary64_2406`
8×	`prod-exp_binary64_2514`
7×	`unswap-sqr_binary64_2433`
6×	`cbrt-unprod_binary64_2498`
4×	`add-log-exp_binary64_2504` `pow-prod-down_binary64_2536` `unpow-prod-down_binary64_2544`
3×	`*-commutative_binary64_2396`
2×	`sqr-pow_binary64_2437`
1×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `associate-*r/_binary64_2407` `div-inv_binary64_2462` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533`

Counts

4 → 99

Calls

4 calls:

21.0ms	(.f64 (fabs.f64 x) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 PI.f64)))
9.0ms	(.f64 2/3 (.f64 x x))
6.0ms	(*.f64 1/21 (pow.f64 x 6))
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 3824 to 2557 computations (33.1% saved)

series247.0ms (4%)

Error

0.1b

Counts

4 → 18

Calls

4 calls:

146.0ms	(.f64 (fabs.f64 x) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 PI.f64)))
42.0ms	(*.f64 1/21 (pow.f64 x 6))
31.0ms	(.f64 2/3 (.f64 x x))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1260 to 983 computations (22% saved)

simplify72.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4951	2802
1	4951	2802

prune224.0ms (3.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	114	3	117
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	116	3	119

Error

Counts

119 → 3

Compiler

Compiled 4105 to 2785 computations (32.2% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/21 (pow.f64 x 6))
0.1b	(.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (.f64 1/5 (pow.f64 x 4)))))) (/.f64 1 (sqrt.f64 PI.f64)))
0.2b	(.f64 2/3 (.f64 x x))
1.0b	(sqrt.f64 PI.f64)

rewrite267.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`add-exp-log_binary64_2503`
30×	`associate-r_binary64_2405`
29×	`add-sqr-sqrt_binary64_2487`
23×	`add-cbrt-cube_binary64_2501`
22×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
18×	`prod-exp_binary64_2514` `times-frac_binary64_2471`
15×	`pow1_binary64_2526`
12×	`sqrt-prod_binary64_2481`
10×	`cbrt-unprod_binary64_2498`
7×	`associate-l_binary64_2406`
6×	`pow-prod-down_binary64_2536`
5×	`associate-*r/_binary64_2407`
4×	`add-log-exp_binary64_2504` `unswap-sqr_binary64_2433` `div-exp_binary64_2516` `unpow-prod-down_binary64_2544`
3×	`*-commutative_binary64_2396`
2×	`1-exp_binary64_2509` `rec-exp_binary64_2515` `cbrt-undiv_binary64_2499` `flip3-+_binary64_2468` `frac-times_binary64_2475` `flip-+_binary64_2439` `associate-*l/_binary64_2408` `sqr-pow_binary64_2437`
1×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `un-div-inv_binary64_2463` `div-inv_binary64_2462` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533`

Counts

4 → 108

Calls

4 calls:

24.0ms	(.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (.f64 1/5 (pow.f64 x 4)))))) (/.f64 1 (sqrt.f64 PI.f64)))
6.0ms	(.f64 2/3 (.f64 x x))
6.0ms	(*.f64 1/21 (pow.f64 x 6))
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 4147 to 2854 computations (31.2% saved)

series245.0ms (4%)

Error

Counts

4 → 18

Calls

4 calls:

146.0ms	(.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (.f64 1/5 (pow.f64 x 4)))))) (/.f64 1 (sqrt.f64 PI.f64)))
40.0ms	(*.f64 1/21 (pow.f64 x 6))
31.0ms	(.f64 2/3 (.f64 x x))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1296 to 1019 computations (21.4% saved)

simplify94.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4951	3128
1	4951	3128

prune226.0ms (3.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	126	3	129

Error

Counts

129 → 3

Compiler

Compiled 4161 to 2878 computations (30.8% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/21 (pow.f64 x 6))
0.2b	(.f64 2/3 (.f64 x x))
0.3b	(/.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4)))))) (sqrt.f64 PI.f64))
1.0b	(sqrt.f64 PI.f64)

rewrite179.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`add-sqr-sqrt_binary64_2487`
19×	`add-exp-log_binary64_2503`
16×	`add-cbrt-cube_binary64_2501`
13×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
10×	`pow1_binary64_2526`
9×	`sqrt-prod_binary64_2481`
8×	`associate-r_binary64_2405`
7×	`prod-exp_binary64_2514`
6×	`times-frac_binary64_2471` `associate-/r_binary64_2409` `associate-l*_binary64_2406`
5×	`cbrt-unprod_binary64_2498`
4×	`add-log-exp_binary64_2504` `unswap-sqr_binary64_2433` `unpow-prod-down_binary64_2544`
3×	`pow-prod-down_binary64_2536`
2×	`div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `associate-r/_binary64_2407` `associate-/l/_binary64_2412` `-commutative_binary64_2396` `sqr-pow_binary64_2437`
1×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-/l*_binary64_2410` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533`

Counts

4 → 86

Calls

4 calls:

15.0ms	(/.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4)))))) (sqrt.f64 PI.f64))
6.0ms	(.f64 2/3 (.f64 x x))
6.0ms	(*.f64 1/21 (pow.f64 x 6))
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 2972 to 1976 computations (33.5% saved)

series252.0ms (4.1%)

Error

Counts

4 → 18

Calls

4 calls:

145.0ms	(/.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4)))))) (sqrt.f64 PI.f64))
46.0ms	(*.f64 1/21 (pow.f64 x 6))
33.0ms	(.f64 2/3 (.f64 x x))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1260 to 983 computations (22% saved)

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5041	2162

prune159.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	104	3	107

Error

Counts

107 → 3

Compiler

Compiled 3200 to 2158 computations (32.6% saved)

localize28.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (.f64 (fabs.f64 x) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 PI.f64))))
1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)

rewrite231.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-sqr-sqrt_binary64_2487`
9×	`sqrt-prod_binary64_2481`
7×	`pow1_binary64_2526` `add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
4×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
3×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478`
1×	`pow1/3_binary64_2547` `associate-*r/_binary64_2407` `cbrt-div_binary64_2497` `cbrt-prod_binary64_2496`

Counts

4 → 49

Calls

4 calls:

14.0ms	(cbrt.f64 (.f64 (fabs.f64 x) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 PI.f64))))
1.0ms	(sqrt.f64 PI.f64)
1.0ms	(sqrt.f64 PI.f64)
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 4271 to 2814 computations (34.1% saved)

series366.0ms (6%)

Error

Counts

4 → 10

Calls

4 calls:

320.0ms	(cbrt.f64 (.f64 (fabs.f64 x) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 PI.f64))))
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 2200 to 1678 computations (23.7% saved)

simplify47.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5258	1130

prune243.0ms (4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	59	3	62

Error

Counts

62 → 3

Compiler

Compiled 5030 to 3353 computations (33.3% saved)

regimes416.0ms (6.8%)

Accuracy

Total 0.1b remaining (99.6%)

Threshold costs 0.1b (99.6%)

Compiler

Compiled 5671 to 4222 computations (25.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	44
1	34	44

end0.0ms (0%)

sample2.1s (33.5%)

Algorithm

1×

intervals

Results

752.0ms	8000×	body	128	valid
97.0ms	8001×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 1131 to 852 computations (24.7% saved)

Details

analyze224.0ms (3.7%)

sample39.0ms (0.6%)

simplify128.0ms (2.1%)

prune6.0ms (0.1%)

localize17.0ms (0.3%)

rewrite248.0ms (4.1%)

series247.0ms (4%)

simplify72.0ms (1.2%)

prune224.0ms (3.7%)

localize18.0ms (0.3%)

rewrite267.0ms (4.4%)

series245.0ms (4%)

simplify94.0ms (1.5%)

prune226.0ms (3.7%)

localize17.0ms (0.3%)

rewrite179.0ms (2.9%)

series252.0ms (4.1%)

simplify67.0ms (1.1%)

prune159.0ms (2.6%)

localize28.0ms (0.5%)

rewrite231.0ms (3.8%)

series366.0ms (6%)

simplify47.0ms (0.8%)

prune243.0ms (4%)

regimes416.0ms (6.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.1s (33.5%)

Profiling