Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample22.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms	256×	pre	128	true
5.0ms	256×	body	128	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify97.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	70	10
1	70	10

prune2.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (+.f64 a b) (+.f64 a b))
0.0b	(*.f64 (+.f64 a b) (+.f64 a b))

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_1101`
8×	`pow1_binary64_1162`
7×	`add-sqr-sqrt_binary64_1123`
6×	`distribute-lft-out_binary64_1052` `flip3-+_binary64_1104` `swap-sqr_binary64_1068` `flip-+_binary64_1075`
5×	`add-cube-cbrt_binary64_1136`
4×	`frac-times_binary64_1111` `associate-r_binary64_1041` `associate-l_binary64_1042`
3×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
2×	`associate-r/_binary64_1043` `associate-l/_binary64_1044`
1×	`pow-plus_binary64_1164` `*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `pow-prod-up_binary64_1171` `add-log-exp_binary64_1140` `prod-exp_binary64_1150` `distribute-lft-in_binary64_1050` `pow-sqr_binary64_1074` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `pow2_binary64_1182` `distribute-rgt-in_binary64_1051`

Counts

1 → 40

Calls

2 calls:

10.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
0.0ms	(*.f64 (+.f64 a b) (+.f64 a b))

series89.0ms (3.1%)

Counts

1 → 18

Calls

1 calls:

89.0ms

(*.f64 (+.f64 a b) (+.f64 a b))

Compiler

Compiled 228 to 204 computations (10.5% saved)

simplify63.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4969	634
1	4969	634

prune46.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	3	59

Error

Counts

59 → 3

Compiler

Compiled 607 to 219 computations (63.9% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 b (+.f64 a b))
0.0b	(+.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b)))
0.0b	(+.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b)))
0.0b	(*.f64 b (+.f64 a b))

rewrite18.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`associate-*r/_binary64_1043`
6×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `flip3-+_binary64_1104` `flip-+_binary64_1075`
4×	`add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137` `associate-r_binary64_1041` `frac-add_binary64_1109`
3×	`distribute-lft-in_binary64_1050` `associate-l_binary64_1042` `distribute-rgt-in_binary64_1051`
2×	`associate-+r+_binary64_1033` `associate-+l+_binary64_1034`
1×	`*-commutative_binary64_1032` `distribute-rgt-out_binary64_1054` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `distribute-lft-out_binary64_1052` `sum-log_binary64_1192` `+-commutative_binary64_1031` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069`

Counts

2 → 43

Calls

4 calls:

8.0ms	(+.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b)))
7.0ms	(*.f64 b (+.f64 a b))
0.0ms	(+.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b)))
0.0ms	(*.f64 b (+.f64 a b))

series217.0ms (7.6%)

Counts

2 → 30

Calls

2 calls:

148.0ms	(+.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b)))
68.0ms	(*.f64 b (+.f64 a b))

Compiler

Compiled 438 to 351 computations (19.9% saved)

simplify66.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4768	814
1	4768	814

prune45.0ms (1.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	73	3	76

Error

Counts

76 → 3

Compiler

Compiled 945 to 214 computations (77.4% saved)

localize17.0ms (0.6%)

Local error

Found 8 expressions with local error:

0.3b	(.f64 (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b))
0.0b	(+.f64 (.f64 a a) (.f64 b (-.f64 b a)))
0.0b	(*.f64 b (-.f64 b a))
0.0b	(-.f64 (.f64 a a) (.f64 b b))
0.0b	(+.f64 (.f64 a a) (.f64 b (-.f64 b a)))
0.3b	(.f64 (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b))
0.3b	(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (-.f64 a b)))
0.3b	(.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (*.f64 b b)))

rewrite87.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64_1101`
20×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
18×	`add-sqr-sqrt_binary64_1123`
16×	`frac-times_binary64_1111`
14×	`cancel-sign-sub-inv_binary64_1067`
13×	`flip3-+_binary64_1104` `flip-+_binary64_1075`
12×	`flip--_binary64_1076` `flip3--_binary64_1105` `add-cube-cbrt_binary64_1136` `associate-l_binary64_1042`
10×	`distribute-lft-in_binary64_1050` `distribute-rgt-in_binary64_1051`
9×	`associate-r_binary64_1041`
8×	`pow1_binary64_1162` `associate-+r+_binary64_1033` `associate-/l/_binary64_1048` `associate-r/_binary64_1043` `associate-/r/_binary64_1047` `associate-l/_binary64_1044`
6×	`cbrt-unprod_binary64_1134` `add-log-exp_binary64_1140` `prod-exp_binary64_1150` `sub-neg_binary64_1094`
5×	`distribute-lft-out_binary64_1052`
4×	`cube-prod_binary64_1129` `unpow-prod-down_binary64_1180` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
2×	`*-commutative_binary64_1032` `difference-of-squares_binary64_1070` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069`
1×	`frac-2neg_binary64_1112` `sum-log_binary64_1192` `clear-num_binary64_1100` `distribute-lft-out--_binary64_1053` `div-inv_binary64_1098` `associate-/l_binary64_1046` `times-frac_binary64_1107` `+-commutative_binary64_1031` `sum-cubes_binary64_1102` `associate-/r_binary64_1045`

Counts

4 → 129

Calls

8 calls:

33.0ms	(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (-.f64 a b)))
20.0ms	(.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (*.f64 b b)))
11.0ms	(.f64 (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b))
5.0ms	(+.f64 (.f64 a a) (.f64 b (-.f64 b a)))
0.0ms	(-.f64 (.f64 a a) (.f64 b b))

series742.0ms (26.1%)

Counts

4 → 63

Calls

4 calls:

451.0ms	(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (-.f64 a b)))
122.0ms	(.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (*.f64 b b)))
88.0ms	(.f64 (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b))
80.0ms	(+.f64 (.f64 a a) (.f64 b (-.f64 b a)))

Compiler

Compiled 1890 to 1377 computations (27.1% saved)

simplify99.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4977	4666
1	4977	4666

prune230.0ms (8.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	192	0	192
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	192	3	195

Error

Counts

195 → 3

Compiler

Compiled 6350 to 2113 computations (66.7% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	106	242
1	106	242

regimes120.0ms (4.2%)

Compiler: Compiled 751 to 553 computations (26.4% saved)

bsearch0.0ms (0%)

regimes50.0ms (1.8%)

Compiler: Compiled 140 to 134 computations (4.3% saved)

bsearch0.0ms (0%)

regimes19.0ms (0.7%)

Compiler: Compiled 30 to 44 computations (-46.7% saved)

bsearch0.0ms (0%)

regimes18.0ms (0.6%)

Compiler: Compiled 16 to 32 computations (-100% saved)

bsearch0.0ms (0%)

regimes14.0ms (0.5%)

Accuracy

Total 0.0b remaining (98.3%)

Threshold costs 0.0b (98.3%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 29 to 22 computations (24.1% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	41
1	22	41

end0.0ms (0%)

sample741.0ms (26.1%)

Algorithm

1×

intervals

Results

182.0ms	8000×	pre	128	true
129.0ms	8000×	body	128	valid

Compiler

Compiled 227 to 161 computations (29.1% saved)

Pareto

0.789591365046175

Details

analyze2.0ms (0.1%)

sample22.0ms (0.8%)

simplify97.0ms (3.4%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite13.0ms (0.5%)

series89.0ms (3.1%)

simplify63.0ms (2.2%)

prune46.0ms (1.6%)

localize6.0ms (0.2%)

rewrite18.0ms (0.6%)

series217.0ms (7.6%)

simplify66.0ms (2.3%)

prune45.0ms (1.6%)

localize17.0ms (0.6%)

rewrite87.0ms (3.1%)

series742.0ms (26.1%)

simplify99.0ms (3.5%)

prune230.0ms (8.1%)

simplify6.0ms (0.2%)

regimes120.0ms (4.2%)

bsearch0.0ms (0%)

regimes50.0ms (1.8%)

bsearch0.0ms (0%)

regimes19.0ms (0.7%)

bsearch0.0ms (0%)

regimes18.0ms (0.6%)

bsearch0.0ms (0%)

regimes14.0ms (0.5%)

bsearch3.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample741.0ms (26.1%)

Profiling