Details

analyze6.0ms (0.1%)

Algorithm

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)

simplify239.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (140.0ms)

Iter	Nodes	Cost
0	5050	41

prune7.0ms (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)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite252.0ms (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` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `associate-*r/_binary64_2407` `div-inv_binary64_2462`

Counts

4 → 99

Calls

4 calls:

19.0ms	(.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)))
6.0ms	(.f64 2/3 (.f64 x x))
6.0ms	(*.f64 1/5 (pow.f64 x 4))
2.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 3824 to 2557 computations (33.1% saved)

series249.0ms (4%)

Error

0.1b

Counts

4 → 18

Calls

4 calls:

154.0ms	(.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)))
35.0ms	(*.f64 1/5 (pow.f64 x 4))
31.0ms	(.f64 2/3 (.f64 x x))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1260 to 983 computations (22% saved)

simplify79.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5630	2794

prune225.0ms (3.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	114	3	117
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	114	5	119

Error

Counts

119 → 5

Compiler

Compiled 4141 to 2781 computations (32.8% saved)

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
0.1b	(.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
0.1b	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
1.0b	(sqrt.f64 PI.f64)

rewrite429.0ms (7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

115×	`add-exp-log_binary64_2503`
78×	`add-cbrt-cube_binary64_2501`
75×	`prod-exp_binary64_2514`
53×	`pow1_binary64_2526`
45×	`cbrt-unprod_binary64_2498`
27×	`associate-l_binary64_2406`
24×	`pow-prod-down_binary64_2536`
22×	`add-sqr-sqrt_binary64_2487`
20×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
18×	`times-frac_binary64_2471`
13×	`div-exp_binary64_2516`
8×	`cbrt-undiv_binary64_2499`
6×	`pow-prod-up_binary64_2535` `pow-plus_binary64_2528`
5×	`associate-r_binary64_2405` `1-exp_binary64_2509` `rec-exp_binary64_2515`
4×	`add-log-exp_binary64_2504`
3×	`sqrt-prod_binary64_2481` `*-commutative_binary64_2396`
2×	`associate-*l/_binary64_2408` `div-inv_binary64_2462` `pow2_binary64_2546` `pow-sqr_binary64_2438`
1×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `pow3_binary64_2548` `rem-3cbrt-lft_binary64_2490` `unswap-sqr_binary64_2433`

Counts

4 → 138

Calls

4 calls:

32.0ms	(.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
13.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
7.0ms	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 10498 to 3644 computations (65.3% saved)

series193.0ms (3.1%)

Error

Counts

4 → 9

Calls

4 calls:

69.0ms	(.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
64.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
40.0ms	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1611 to 799 computations (50.4% saved)

simplify88.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4904	1378
1	4904	1378

prune338.0ms (5.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	147	5	152

Error

Counts

152 → 5

Compiler

Compiled 9428 to 3782 computations (59.9% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/5 (pow.f64 x 4))
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)

rewrite257.0ms (4.2%)

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:

21.0ms	(.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 1/5 (pow.f64 x 4))
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 4147 to 2854 computations (31.2% saved)

series238.0ms (3.9%)

Error

Counts

4 → 18

Calls

4 calls:

143.0ms	(.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)))
37.0ms	(*.f64 1/5 (pow.f64 x 4))
32.0ms	(.f64 2/3 (.f64 x x))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1296 to 1019 computations (21.4% saved)

simplify107.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4969	3139
1	4969	3139

prune218.0ms (3.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	126	5	131

Error

Counts

131 → 5

Compiler

Compiled 4144 to 2852 computations (31.2% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/5 (pow.f64 x 4))
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)

rewrite190.0ms (3.1%)

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 1/5 (pow.f64 x 4))
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 2972 to 1976 computations (33.5% saved)

series253.0ms (4.1%)

Error

Counts

4 → 18

Calls

4 calls:

158.0ms	(/.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))
39.0ms	(*.f64 1/5 (pow.f64 x 4))
28.0ms	(.f64 2/3 (.f64 x x))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1260 to 983 computations (22% saved)

simplify54.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	6431	2173

prune157.0ms (2.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	104	5	109

Error

Counts

109 → 5

Compiler

Compiled 3125 to 2089 computations (33.2% saved)

regimes434.0ms (7%)

Accuracy

Total 0.1b remaining (99.4%)

Threshold costs 0.1b (99.4%)

Compiler

Compiled 5696 to 4322 computations (24.1% 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%)

sample2.0s (32.9%)

Algorithm

1×

intervals

Results

755.0ms	8000×	body	128	valid
90.0ms	8001×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 1136 to 872 computations (23.2% saved)

Details

analyze6.0ms (0.1%)

sample39.0ms (0.6%)

simplify239.0ms (3.9%)

prune7.0ms (0.1%)

localize18.0ms (0.3%)

rewrite252.0ms (4.1%)

series249.0ms (4%)

simplify79.0ms (1.3%)

prune225.0ms (3.6%)

localize26.0ms (0.4%)

rewrite429.0ms (7%)

series193.0ms (3.1%)

simplify88.0ms (1.4%)

prune338.0ms (5.5%)

localize22.0ms (0.4%)

rewrite257.0ms (4.2%)

series238.0ms (3.9%)

simplify107.0ms (1.7%)

prune218.0ms (3.5%)

localize17.0ms (0.3%)

rewrite190.0ms (3.1%)

series253.0ms (4.1%)

simplify54.0ms (0.9%)

prune157.0ms (2.6%)

regimes434.0ms (7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.0s (32.9%)

Profiling