Details

analyze279.0ms (6.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4843	28
1	4843	28
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Symmetry

Compiler

Compiled 21 to 17 computations (19% saved)

sample20.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify191.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (184.0ms)

Iter	Nodes	Cost
0	4843	28
1	4843	28

prune8.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 36 to 28 computations (22.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6)))))
0.0b	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))
0.0b	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
0.2b	(.f64 (.f64 v v) 6)

rewrite171.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
20×	`associate-*r/_binary64_1043`
15×	`pow1_binary64_1162`
14×	`sqrt-div_binary64_1118`
13×	`flip3--_binary64_1105` `flip--_binary64_1076`
11×	`add-sqr-sqrt_binary64_1123`
9×	`prod-exp_binary64_1150` `add-cube-cbrt_binary64_1136` `cbrt-unprod_binary64_1134` `*-un-lft-identity_binary64_1101`
8×	`frac-times_binary64_1111` `associate-/r/_binary64_1047`
6×	`pow-prod-down_binary64_1172`
4×	`add-log-exp_binary64_1140` `associate-l_binary64_1042` `associate-r_binary64_1041` `associate-*l/_binary64_1044`
3×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `times-frac_binary64_1107` `associate-/l*_binary64_1046` `sqrt-prod_binary64_1117`
2×	`*-commutative_binary64_1032`
1×	`unswap-sqr_binary64_1069` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/r*_binary64_1045` `pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114`

Counts

4 → 91

Calls

4 calls:

12.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
12.0ms	(.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6)))))
6.0ms	(.f64 (.f64 v v) 6)
3.0ms	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))

Compiler

Compiled 2823 to 1778 computations (37% saved)

series279.0ms (6.6%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

115.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
65.0ms	(.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6)))))
35.0ms	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))
29.0ms	(.f64 (.f64 v v) 6)

Compiler

Compiled 1401 to 1187 computations (15.3% saved)

simplify97.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4945	2714
1	4945	2714

prune155.0ms (3.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	111	2	113

Error

Counts

113 → 2

Compiler

Compiled 2967 to 2001 computations (32.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))
0.0b	(/.f64 (/.f64 4/3 PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))
0.2b	(.f64 (.f64 v v) 6)
1.0b	(/.f64 4/3 PI.f64)

rewrite185.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

40×	`times-frac_binary64_1107`
30×	`add-sqr-sqrt_binary64_1123`
28×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
23×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
16×	`associate-/l*_binary64_1046`
10×	`pow1_binary64_1162`
8×	`sqrt-div_binary64_1118` `associate-/r/_binary64_1047`
7×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `flip3--_binary64_1105` `flip--_binary64_1076`
5×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
4×	`add-log-exp_binary64_1140` `div-inv_binary64_1098` `associate-/r*_binary64_1045` `frac-times_binary64_1111`
3×	`pow-prod-down_binary64_1172` `associate-r_binary64_1041` `sqrt-prod_binary64_1117`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-l/_binary64_1044` `associate-r/_binary64_1043`
1×	`unswap-sqr_binary64_1069` `associate-l_binary64_1042` `*-commutative_binary64_1032` `associate-/l/_binary64_1048` `pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114`

Counts

4 → 115

Calls

4 calls:

14.0ms	(/.f64 (/.f64 4/3 PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))
6.0ms	(.f64 (.f64 v v) 6)
3.0ms	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))
3.0ms	(/.f64 4/3 PI.f64)

Compiler

Compiled 3193 to 2034 computations (36.3% saved)

series188.0ms (4.4%)

Error

Counts

4 → 15

Calls

4 calls:

102.0ms	(/.f64 (/.f64 4/3 PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))
37.0ms	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))
28.0ms	(.f64 (.f64 v v) 6)
0.0ms	(/.f64 4/3 PI.f64)

Compiler

Compiled 993 to 841 computations (15.3% saved)

simplify82.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4945	2875
1	4945	2875

prune163.0ms (3.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	130	2	132

Error

Counts

132 → 2

Compiler

Compiled 3249 to 2145 computations (34% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (*.f64 PI.f64 (pow.f64 v 4)) (sqrt.f64 2))
0.2b	(.f64 3 (-.f64 (/.f64 (.f64 PI.f64 (pow.f64 v 4)) (sqrt.f64 2)) (.f64 (/.f64 (.f64 v v) (sqrt.f64 2)) PI.f64)))
0.2b	(.f64 (/.f64 (.f64 v v) (sqrt.f64 2)) PI.f64)
0.2b	(/.f64 (*.f64 v v) (sqrt.f64 2))

rewrite401.0ms (9.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`add-exp-log_binary64_1139`
26×	`add-sqr-sqrt_binary64_1123`
25×	`add-cbrt-cube_binary64_1137`
20×	`times-frac_binary64_1107`
18×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
16×	`sqrt-prod_binary64_1117`
13×	`associate-l_binary64_1042`
12×	`associate-/r*_binary64_1045`
9×	`prod-exp_binary64_1150`
8×	`pow1_binary64_1162` `div-exp_binary64_1152`
7×	`cbrt-unprod_binary64_1134`
6×	`cbrt-undiv_binary64_1135` `associate-r_binary64_1041`
4×	`add-log-exp_binary64_1140` `unswap-sqr_binary64_1069` `associate-*r/_binary64_1043`
3×	`div-inv_binary64_1098` `associate-*l/_binary64_1044`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l_binary64_1046` `pow-prod-down_binary64_1172` `-commutative_binary64_1032` `sub-neg_binary64_1094` `distribute-rgt-in_binary64_1051` `cancel-sign-sub-inv_binary64_1067` `distribute-lft-in_binary64_1050`
1×	`frac-sub_binary64_1110` `sub-div_binary64_1108` `flip3--_binary64_1105` `flip--_binary64_1076` `pow-to-exp_binary64_1170` `pow-exp_binary64_1169`

Counts

4 → 114

Calls

4 calls:

13.0ms	(.f64 3 (-.f64 (/.f64 (.f64 PI.f64 (pow.f64 v 4)) (sqrt.f64 2)) (.f64 (/.f64 (.f64 v v) (sqrt.f64 2)) PI.f64)))
11.0ms	(.f64 (/.f64 (.f64 v v) (sqrt.f64 2)) PI.f64)
7.0ms	(/.f64 (*.f64 PI.f64 (pow.f64 v 4)) (sqrt.f64 2))
6.0ms	(/.f64 (*.f64 v v) (sqrt.f64 2))

Compiler

Compiled 6185 to 4487 computations (27.5% saved)

series376.0ms (8.9%)

Error

Counts

4 → 15

Calls

4 calls:

161.0ms	(.f64 3 (-.f64 (/.f64 (.f64 PI.f64 (pow.f64 v 4)) (sqrt.f64 2)) (.f64 (/.f64 (.f64 v v) (sqrt.f64 2)) PI.f64)))
70.0ms	(/.f64 (*.f64 PI.f64 (pow.f64 v 4)) (sqrt.f64 2))
61.0ms	(.f64 (/.f64 (.f64 v v) (sqrt.f64 2)) PI.f64)
53.0ms	(/.f64 (*.f64 v v) (sqrt.f64 2))

Compiler

Compiled 1896 to 1512 computations (20.3% saved)

simplify72.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4956	2278
1	4956	2278

prune368.0ms (8.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	129	2	131

Error

Counts

131 → 2

Compiler

Compiled 6497 to 4759 computations (26.8% saved)

regimes152.0ms (3.6%)

Accuracy

Total 0.0b remaining (91.4%)

Threshold costs 0.0b (91.4%)

Compiler

Compiled 1988 to 1608 computations (19.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	28
1	53	28

Removed

()

end0.0ms (0%)

sample997.0ms (23.6%)

Algorithm

1×

intervals

Results

404.0ms	8000×	body	128	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 483 to 391 computations (19% saved)

Details

analyze279.0ms (6.6%)

sample20.0ms (0.5%)

simplify191.0ms (4.5%)

prune8.0ms (0.2%)

localize10.0ms (0.2%)

rewrite171.0ms (4.1%)

series279.0ms (6.6%)

simplify97.0ms (2.3%)

prune155.0ms (3.7%)

localize10.0ms (0.2%)

rewrite185.0ms (4.4%)

series188.0ms (4.4%)

simplify82.0ms (1.9%)

prune163.0ms (3.9%)

localize20.0ms (0.5%)

rewrite401.0ms (9.5%)

series376.0ms (8.9%)

simplify72.0ms (1.7%)

prune368.0ms (8.7%)

regimes152.0ms (3.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample997.0ms (23.6%)

Profiling