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 (0.6%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	128	valid
3.0ms	256×	pre	128	true

Compiler

Compiled 137 to 65 computations (52.6% saved)

simplify214.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (120.0ms)

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)

rewrite248.0ms (3.8%)

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:

20.0ms	(.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)

series262.0ms (4%)

Error

0.1b

Counts

4 → 18

Calls

4 calls:

163.0ms	(.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)

simplify70.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5630	2794

prune219.0ms (3.4%)

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 4121 to 2763 computations (33% saved)

localize28.0ms (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 (sqrt.f64 PI.f64)) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
0.2b	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
1.0b	(sqrt.f64 PI.f64)

rewrite594.0ms (9.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`add-sqr-sqrt_binary64_2146`
39×	`add-exp-log_binary64_2162`
38×	`add-cbrt-cube_binary64_2160`
36×	`associate-l_binary64_2065`
35×	`pow1_binary64_2185`
31×	`times-frac_binary64_2130`
29×	`*-un-lft-identity_binary64_2124`
27×	`add-cube-cbrt_binary64_2159`
19×	`prod-exp_binary64_2173`
17×	`cbrt-unprod_binary64_2157`
14×	`sqrt-prod_binary64_2140` `associate-*l/_binary64_2067`
12×	`frac-add_binary64_2132`
10×	`pow-prod-down_binary64_2195`
7×	`associate-r_binary64_2064`
6×	`flip3-+_binary64_2127` `frac-times_binary64_2134` `flip-+_binary64_2098` `unswap-sqr_binary64_2092` `associate-*r/_binary64_2066` `pow-prod-up_binary64_2194` `pow-plus_binary64_2187`
5×	`div-exp_binary64_2175`
4×	`add-log-exp_binary64_2163` `cbrt-undiv_binary64_2158`
3×	`*-commutative_binary64_2055`
2×	`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` `1-exp_binary64_2168` `rec-exp_binary64_2174` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `pow3_binary64_2207` `rem-3cbrt-lft_binary64_2149`

Counts

4 → 140

Calls

4 calls:

28.0ms	(.f64 (/.f64 1 (sqrt.f64 PI.f64)) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (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 13127 to 4592 computations (65% saved)

series430.0ms (6.6%)

Error

Counts

4 → 9

Calls

4 calls:

313.0ms	(.f64 (/.f64 1 (sqrt.f64 PI.f64)) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
61.0ms	(.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 1395 to 766 computations (45.1% saved)

simplify135.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4973	4621
1	4973	4621

prune375.0ms (5.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	149	5	154

Error

Counts

154 → 5

Compiler

Compiled 9397 to 4287 computations (54.4% 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))
1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)

rewrite136.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-sqr-sqrt_binary64_2146`
14×	`add-exp-log_binary64_2162`
11×	`pow1_binary64_2185` `add-cbrt-cube_binary64_2160`
10×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
8×	`associate-r_binary64_2064`
6×	`sqrt-prod_binary64_2140` `prod-exp_binary64_2173` `associate-l_binary64_2065`
4×	`add-log-exp_binary64_2163` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `unpow-prod-down_binary64_2203`
3×	`pow-prod-down_binary64_2195`
2×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `*-commutative_binary64_2055` `sqr-pow_binary64_2096`
1×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192`

Counts

4 → 70

Calls

4 calls:

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

Compiler

Compiled 2525 to 1486 computations (41.1% saved)

series79.0ms (1.2%)

Error

Counts

4 → 6

Calls

4 calls:

38.0ms	(*.f64 1/5 (pow.f64 x 4))
32.0ms	(.f64 2/3 (.f64 x x))
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 558 to 409 computations (26.7% saved)

simplify88.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4836	603
1	4836	603

prune122.0ms (1.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	76	5	81

Error

Counts

81 → 5

Compiler

Compiled 2668 to 1572 computations (41.1% 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)

rewrite187.0ms (2.9%)

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:

16.0ms	(/.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)

series256.0ms (3.9%)

Error

Counts

4 → 18

Calls

4 calls:

161.0ms	(/.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))
29.0ms	(.f64 2/3 (.f64 x x))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1260 to 983 computations (22% saved)

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	6431	2173

prune159.0ms (2.4%)

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)

regimes501.0ms (7.7%)

Accuracy

Total 0.1b remaining (99.8%)

Threshold costs 0.1b (99.8%)

Compiler

Compiled 6851 to 5162 computations (24.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	55
1	36	55

end0.0ms (0%)

sample2.2s (34.4%)

Algorithm

1×

intervals

Results

723.0ms	8000×	body	128	valid
106.0ms	8001×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 1373 to 1044 computations (24% saved)

Details

analyze6.0ms (0.1%)

sample38.0ms (0.6%)

simplify214.0ms (3.3%)

prune10.0ms (0.2%)

localize17.0ms (0.3%)

rewrite248.0ms (3.8%)

series262.0ms (4%)

simplify70.0ms (1.1%)

prune219.0ms (3.4%)

localize28.0ms (0.4%)

rewrite594.0ms (9.1%)

series430.0ms (6.6%)

simplify135.0ms (2.1%)

prune375.0ms (5.8%)

localize20.0ms (0.3%)

rewrite136.0ms (2.1%)

series79.0ms (1.2%)

simplify88.0ms (1.4%)

prune122.0ms (1.9%)

localize17.0ms (0.3%)

rewrite187.0ms (2.9%)

series256.0ms (3.9%)

simplify53.0ms (0.8%)

prune159.0ms (2.4%)

regimes501.0ms (7.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.2s (34.4%)

Profiling