Details

analyze225.0ms (3.6%)

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

Symmetry

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)

simplify127.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	5050	41

prune10.0ms (0.2%)

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 (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)

rewrite231.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

38×	`add-sqr-sqrt_binary64_2146`
30×	`associate-r_binary64_2064`
23×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
20×	`times-frac_binary64_2130`
19×	`add-exp-log_binary64_2162`
16×	`add-cbrt-cube_binary64_2160`
13×	`sqrt-prod_binary64_2140`
12×	`pow1_binary64_2185`
9×	`associate-l_binary64_2065`
8×	`prod-exp_binary64_2173`
7×	`unswap-sqr_binary64_2092`
6×	`cbrt-unprod_binary64_2157`
4×	`add-log-exp_binary64_2163` `pow-prod-down_binary64_2195` `unpow-prod-down_binary64_2203`
3×	`*-commutative_binary64_2055`
2×	`sqr-pow_binary64_2096`
1×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `associate-*r/_binary64_2066` `div-inv_binary64_2121`

Counts

4 → 99

Calls

4 calls:

18.0ms	(.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))
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 3824 to 2557 computations (33.1% saved)

series263.0ms (4.2%)

Error

0.1b

Counts

4 → 18

Calls

4 calls:

162.0ms	(.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)))
38.0ms	(*.f64 1/5 (pow.f64 x 4))
32.0ms	(.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	5630	2794

prune220.0ms (3.5%)

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)

localize28.0ms (0.5%)

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)

rewrite450.0ms (7.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

115×	`add-exp-log_binary64_2162`
78×	`add-cbrt-cube_binary64_2160`
75×	`prod-exp_binary64_2173`
53×	`pow1_binary64_2185`
45×	`cbrt-unprod_binary64_2157`
27×	`associate-l_binary64_2065`
24×	`pow-prod-down_binary64_2195`
22×	`add-sqr-sqrt_binary64_2146`
20×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
18×	`times-frac_binary64_2130`
13×	`div-exp_binary64_2175`
8×	`cbrt-undiv_binary64_2158`
6×	`pow-prod-up_binary64_2194` `pow-plus_binary64_2187`
5×	`associate-r_binary64_2064` `1-exp_binary64_2168` `rec-exp_binary64_2174`
4×	`add-log-exp_binary64_2163`
3×	`sqrt-prod_binary64_2140` `*-commutative_binary64_2055`
2×	`associate-*l/_binary64_2067` `div-inv_binary64_2121` `pow2_binary64_2205` `pow-sqr_binary64_2097`
1×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `pow3_binary64_2207` `rem-3cbrt-lft_binary64_2149` `unswap-sqr_binary64_2092`

Counts

4 → 138

Calls

4 calls:

27.0ms	(.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
12.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
6.0ms	(.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)

series194.0ms (3.1%)

Error

Counts

4 → 9

Calls

4 calls:

74.0ms	(.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
55.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
47.0ms	(.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)

simplify79.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4904	1378
1	4904	1378

prune356.0ms (5.7%)

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)

localize18.0ms (0.3%)

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)

rewrite260.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`add-exp-log_binary64_2162`
30×	`associate-r_binary64_2064`
29×	`add-sqr-sqrt_binary64_2146`
23×	`add-cbrt-cube_binary64_2160`
22×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
18×	`prod-exp_binary64_2173` `times-frac_binary64_2130`
15×	`pow1_binary64_2185`
12×	`sqrt-prod_binary64_2140`
10×	`cbrt-unprod_binary64_2157`
7×	`associate-l_binary64_2065`
6×	`pow-prod-down_binary64_2195`
5×	`associate-*r/_binary64_2066`
4×	`add-log-exp_binary64_2163` `unswap-sqr_binary64_2092` `div-exp_binary64_2175` `unpow-prod-down_binary64_2203`
3×	`*-commutative_binary64_2055`
2×	`1-exp_binary64_2168` `rec-exp_binary64_2174` `cbrt-undiv_binary64_2158` `flip3-+_binary64_2127` `frac-times_binary64_2134` `flip-+_binary64_2098` `associate-*l/_binary64_2067` `sqr-pow_binary64_2096`
1×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `un-div-inv_binary64_2122` `div-inv_binary64_2121` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192`

Counts

4 → 108

Calls

4 calls:

23.0ms	(.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 1/5 (pow.f64 x 4))
6.0ms	(.f64 2/3 (.f64 x x))
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 4147 to 2854 computations (31.2% saved)

series245.0ms (3.9%)

Error

Counts

4 → 18

Calls

4 calls:

154.0ms	(.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)))
33.0ms	(*.f64 1/5 (pow.f64 x 4))
31.0ms	(.f64 2/3 (.f64 x x))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1296 to 1019 computations (21.4% saved)

simplify92.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4969	3139
1	4969	3139

prune210.0ms (3.4%)

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)

rewrite176.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`add-sqr-sqrt_binary64_2146`
19×	`add-exp-log_binary64_2162`
16×	`add-cbrt-cube_binary64_2160`
13×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
10×	`pow1_binary64_2185`
9×	`sqrt-prod_binary64_2140`
8×	`associate-r_binary64_2064`
7×	`prod-exp_binary64_2173`
6×	`times-frac_binary64_2130` `associate-/r_binary64_2068` `associate-l*_binary64_2065`
5×	`cbrt-unprod_binary64_2157`
4×	`add-log-exp_binary64_2163` `unswap-sqr_binary64_2092` `unpow-prod-down_binary64_2203`
3×	`pow-prod-down_binary64_2195`
2×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `associate-r/_binary64_2066` `associate-/l/_binary64_2071` `-commutative_binary64_2055` `sqr-pow_binary64_2096`
1×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-/l*_binary64_2069` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192`

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)

series247.0ms (4%)

Error

Counts

4 → 18

Calls

4 calls:

153.0ms	(/.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))
37.0ms	(*.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)

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	6431	2173

prune157.0ms (2.5%)

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)

regimes415.0ms (6.7%)

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%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	44
1	34	44

Removed

()

end0.0ms (0%)

sample2.0s (32.3%)

Algorithm

1×

intervals

Results

737.0ms	8000×	body	128	valid
93.0ms	8001×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 1136 to 872 computations (23.2% saved)

Details

analyze225.0ms (3.6%)

sample39.0ms (0.6%)

simplify127.0ms (2%)

prune10.0ms (0.2%)

localize17.0ms (0.3%)

rewrite231.0ms (3.7%)

series263.0ms (4.2%)

simplify72.0ms (1.2%)

prune220.0ms (3.5%)

localize28.0ms (0.5%)

rewrite450.0ms (7.2%)

series194.0ms (3.1%)

simplify79.0ms (1.3%)

prune356.0ms (5.7%)

localize18.0ms (0.3%)

rewrite260.0ms (4.2%)

series245.0ms (3.9%)

simplify92.0ms (1.5%)

prune210.0ms (3.4%)

localize17.0ms (0.3%)

rewrite176.0ms (2.8%)

series247.0ms (4%)

simplify52.0ms (0.8%)

prune157.0ms (2.5%)

regimes415.0ms (6.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.0s (32.3%)

Profiling