Details

analyze224.0ms (3.1%)

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)

sample40.0ms (0.6%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
3.0ms	256×	pre	128	true

Compiler

Compiled 137 to 65 computations (52.6% saved)

simplify136.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (130.0ms)

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 (0.2%)

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)

rewrite245.0ms (3.4%)

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:

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)))
10.0ms	(.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)

series237.0ms (3.3%)

Error

0.1b

Counts

4 → 18

Calls

4 calls:

141.0ms	(.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)))
39.0ms	(*.f64 1/5 (pow.f64 x 4))
29.0ms	(.f64 2/3 (.f64 x x))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1260 to 983 computations (22% saved)

simplify77.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5630	2794

prune222.0ms (3.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	113	4	117
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	115	4	119

Error

Counts

119 → 4

Compiler

Compiled 4109 to 2778 computations (32.4% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (sqrt.f64 (/.f64 1 PI.f64)) (.f64 (fabs.f64 x) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))))
0.1b	(.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 PI.f64)) (pow.f64 (fabs.f64 x) 7)))
0.1b	(*.f64 1/5 (pow.f64 x 4))
0.2b	(.f64 2/3 (.f64 x x))

rewrite281.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`add-exp-log_binary64_2162`
25×	`associate-l_binary64_2065`
23×	`add-sqr-sqrt_binary64_2146`
21×	`add-cbrt-cube_binary64_2160`
17×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
16×	`pow1_binary64_2185` `prod-exp_binary64_2173`
13×	`sqrt-prod_binary64_2140`
10×	`cbrt-unprod_binary64_2157` `associate-r_binary64_2064`
9×	`times-frac_binary64_2130`
7×	`pow-prod-down_binary64_2195` `associate-*r/_binary64_2066`
4×	`add-log-exp_binary64_2163` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `unpow-prod-down_binary64_2203` `sqrt-div_binary64_2141` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
2×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `sqr-pow_binary64_2096` `associate-*l/_binary64_2067` `flip3-+_binary64_2127` `frac-times_binary64_2134` `flip-+_binary64_2098`
1×	`div-inv_binary64_2121`

Counts

4 → 104

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 (/.f64 1 PI.f64)) (.f64 (fabs.f64 x) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))))
10.0ms	(.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 PI.f64)) (pow.f64 (fabs.f64 x) 7)))
6.0ms	(.f64 2/3 (.f64 x x))
6.0ms	(*.f64 1/5 (pow.f64 x 4))

Compiler

Compiled 4488 to 3225 computations (28.1% saved)

series456.0ms (6.3%)

Error

Counts

4 → 18

Calls

4 calls:

232.0ms	(.f64 (sqrt.f64 (/.f64 1 PI.f64)) (.f64 (fabs.f64 x) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))))
123.0ms	(.f64 1/21 (.f64 (sqrt.f64 (/.f64 1 PI.f64)) (pow.f64 (fabs.f64 x) 7)))
38.0ms	(*.f64 1/5 (pow.f64 x 4))
32.0ms	(.f64 2/3 (.f64 x x))

Compiler

Compiled 1748 to 1372 computations (21.5% saved)

simplify89.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4924	2596
1	4924	2596

prune249.0ms (3.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	122	4	126

Error

Counts

126 → 4

Compiler

Compiled 4845 to 3491 computations (27.9% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (/.f64 (fabs.f64 x) (fabs.f64 (cbrt.f64 PI.f64))) (/.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 (cbrt.f64 PI.f64))))
0.4b	(/.f64 (fabs.f64 x) (fabs.f64 (cbrt.f64 PI.f64)))
1.0b	(cbrt.f64 PI.f64)
1.0b	(cbrt.f64 PI.f64)

rewrite317.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

66×	`add-sqr-sqrt_binary64_2146`
55×	`times-frac_binary64_2130`
40×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
31×	`associate-r_binary64_2064`
22×	`sqrt-prod_binary64_2140`
18×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
17×	`cbrt-prod_binary64_2155`
13×	`associate-l_binary64_2065`
8×	`unswap-sqr_binary64_2092`
6×	`pow1_binary64_2185`
5×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158`
4×	`add-log-exp_binary64_2163` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
3×	`div-inv_binary64_2121` `associate-/l_binary64_2069` `associate-/r_binary64_2068`
2×	`pow1/3_binary64_2206`
1×	`frac-2neg_binary64_2135` `clear-num_binary64_2123` `pow-prod-down_binary64_2195` `frac-times_binary64_2134` `associate-l/_binary64_2067` `associate-r/_binary64_2066` `*-commutative_binary64_2055`

Counts

4 → 121

Calls

4 calls:

30.0ms	(.f64 (/.f64 (fabs.f64 x) (fabs.f64 (cbrt.f64 PI.f64))) (/.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 (cbrt.f64 PI.f64))))
3.0ms	(/.f64 (fabs.f64 x) (fabs.f64 (cbrt.f64 PI.f64)))
1.0ms	(cbrt.f64 PI.f64)
1.0ms	(cbrt.f64 PI.f64)

Compiler

Compiled 5785 to 3213 computations (44.5% saved)

series335.0ms (4.6%)

Error

Counts

4 → 15

Calls

4 calls:

262.0ms	(.f64 (/.f64 (fabs.f64 x) (fabs.f64 (cbrt.f64 PI.f64))) (/.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 (cbrt.f64 PI.f64))))
40.0ms	(/.f64 (fabs.f64 x) (fabs.f64 (cbrt.f64 PI.f64)))
0.0ms	(cbrt.f64 PI.f64)
0.0ms	(cbrt.f64 PI.f64)

Compiler

Compiled 1440 to 1131 computations (21.5% saved)

simplify109.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4959	5473
1	4959	5473

prune280.0ms (3.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	136	4	140

Error

Counts

140 → 4

Compiler

Compiled 5933 to 3355 computations (43.5% saved)

localize17.0ms (0.2%)

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)

rewrite178.0ms (2.5%)

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)

series243.0ms (3.4%)

Error

Counts

4 → 18

Calls

4 calls:

156.0ms	(/.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))
32.0ms	(*.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)

simplify100.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	6431	2173

prune161.0ms (2.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	104	4	108

Error

Counts

108 → 4

Compiler

Compiled 3125 to 2089 computations (33.2% saved)

regimes611.0ms (8.5%)

Accuracy

Total 0.1b remaining (99.8%)

Threshold costs 0.1b (99.8%)

Compiler

Compiled 8402 to 6541 computations (22.1% 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

end0.0ms (0%)

sample2.5s (35.2%)

Algorithm

1×

intervals

Results

775.0ms	8000×	body	128	valid
91.0ms	8000×	pre	128	true

Compiler

Compiled 1671 to 1310 computations (21.6% saved)

Details

analyze224.0ms (3.1%)

sample40.0ms (0.6%)

simplify136.0ms (1.9%)

prune7.0ms (0.1%)

localize18.0ms (0.2%)

rewrite245.0ms (3.4%)

series237.0ms (3.3%)

simplify77.0ms (1.1%)

prune222.0ms (3.1%)

localize21.0ms (0.3%)

rewrite281.0ms (3.9%)

series456.0ms (6.3%)

simplify89.0ms (1.2%)

prune249.0ms (3.5%)

localize21.0ms (0.3%)

rewrite317.0ms (4.4%)

series335.0ms (4.6%)

simplify109.0ms (1.5%)

prune280.0ms (3.9%)

localize17.0ms (0.2%)

rewrite178.0ms (2.5%)

series243.0ms (3.4%)

simplify100.0ms (1.4%)

prune161.0ms (2.2%)

regimes611.0ms (8.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.5s (35.2%)

Profiling