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)

sample38.0ms (0.7%)

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)

simplify215.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (120.0ms)

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 (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)

rewrite248.0ms (4.2%)

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)))
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)

series154.0ms (2.6%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

72.0ms	(.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)))
36.0ms	(*.f64 1/5 (pow.f64 x 4))
30.0ms	(.f64 2/3 (.f64 x x))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 828 to 663 computations (19.9% saved)

simplify69.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5602	2563

prune206.0ms (3.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	108	3	111
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	110	3	113

Error

Counts

113 → 3

Compiler

Compiled 3919 to 2640 computations (32.6% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite250.0ms (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` `unpow-prod-down_binary64_2203` `div-exp_binary64_2175`
3×	`*-commutative_binary64_2055`
2×	`sqr-pow_binary64_2096` `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`
1×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `un-div-inv_binary64_2122` `div-inv_binary64_2121`

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 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)

series158.0ms (2.7%)

Error

Counts

4 → 12

Calls

4 calls:

74.0ms	(.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 864 to 699 computations (19.1% saved)

simplify90.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4953	2908
1	4953	2908

prune206.0ms (3.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	120	3	123

Error

Counts

123 → 3

Compiler

Compiled 3989 to 2742 computations (31.3% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 2/3 (.f64 x x))
0.5b	(.f64 (sqrt.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)))) (sqrt.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)

rewrite364.0ms (6.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

60×	`pow1_binary64_2185`
30×	`sqrt-pow1_binary64_2142`
23×	`pow-prod-down_binary64_2195`
16×	`add-sqr-sqrt_binary64_2146`
12×	`pow1/2_binary64_2204`
11×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
10×	`sqrt-prod_binary64_2140` `pow-prod-up_binary64_2194`
7×	`associate-l_binary64_2065`
6×	`pow-sqr_binary64_2097`
5×	`associate-r/_binary64_2066` `associate-r*_binary64_2064`
4×	`add-log-exp_binary64_2163` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `sqrt-div_binary64_2141` `swap-sqr_binary64_2091`
2×	`rem-sqrt-square_binary64_2137` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055`
1×	`pow2_binary64_2205` `pow-plus_binary64_2187` `sqrt-unprod_binary64_2144` `rem-square-sqrt_binary64_2136` `frac-times_binary64_2134` `associate-*l/_binary64_2067`

Counts

4 → 97

Calls

4 calls:

34.0ms	(.f64 (sqrt.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)))) (sqrt.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)))))
6.0ms	(.f64 2/3 (.f64 x x))
1.0ms	(sqrt.f64 PI.f64)
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 5833 to 3922 computations (32.8% saved)

series117.0ms (2%)

Error

Counts

4 → 9

Calls

4 calls:

72.0ms	(.f64 (sqrt.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)))) (sqrt.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)))))
31.0ms	(.f64 2/3 (.f64 x x))
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 846 to 657 computations (22.3% saved)

simplify78.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4957	2143
1	4957	2143

prune253.0ms (4.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	106	3	109

Error

Counts

109 → 3

Compiler

Compiled 4865 to 3290 computations (32.4% saved)

localize20.0ms (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)

rewrite179.0ms (3%)

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

Compiler

Compiled 2972 to 1976 computations (33.5% saved)

series157.0ms (2.7%)

Error

Counts

4 → 12

Calls

4 calls:

74.0ms	(/.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))
38.0ms	(*.f64 1/5 (pow.f64 x 4))
30.0ms	(.f64 2/3 (.f64 x x))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 828 to 663 computations (19.9% saved)

simplify52.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	6403	1930

prune150.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	98	3	101

Error

Counts

101 → 3

Compiler

Compiled 2965 to 1975 computations (33.4% saved)

regimes465.0ms (7.9%)

Accuracy

Total 0.1b remaining (99.8%)

Threshold costs 0.1b (99.8%)

Compiler

Compiled 6332 to 4790 computations (24.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	41
1	30	41

end0.0ms (0%)

sample2.3s (39.8%)

Algorithm

1×

intervals

Results

745.0ms	8000×	body	128	valid
97.0ms	8001×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 1265 to 967 computations (23.6% saved)

Details

analyze6.0ms (0.1%)

sample38.0ms (0.7%)

simplify215.0ms (3.6%)

prune6.0ms (0.1%)

localize17.0ms (0.3%)

rewrite248.0ms (4.2%)

series154.0ms (2.6%)

simplify69.0ms (1.2%)

prune206.0ms (3.5%)

localize18.0ms (0.3%)

rewrite250.0ms (4.2%)

series158.0ms (2.7%)

simplify90.0ms (1.5%)

prune206.0ms (3.5%)

localize22.0ms (0.4%)

rewrite364.0ms (6.2%)

series117.0ms (2%)

simplify78.0ms (1.3%)

prune253.0ms (4.3%)

localize20.0ms (0.3%)

rewrite179.0ms (3%)

series157.0ms (2.7%)

simplify52.0ms (0.9%)

prune150.0ms (2.5%)

regimes465.0ms (7.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.3s (39.8%)

Profiling