Details

Time bar (total: 2.8s)

analyze269.0ms (9.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
31.2%68.6%0.1%7
40.6%59.3%0.1%8
43.7%56.2%0.1%9
56.6%43.3%0.1%10
61%37.3%1.7%11
62.1%34.8%3.1%12
68.6%25.6%5.8%13
70.6%22.1%7.4%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample18.0ms (0.6%)

Algorithm
intervals
Results
6.0ms256×body128valid
3.0ms36×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify185.0ms (6.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
033710
133710

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (/.f64 (-.f64 y x) z))
0.0b
(/.f64 (-.f64 y x) z)

rewrite24.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity_binary64_77
20×add-sqr-sqrt_binary64_98
15×times-frac_binary64_83
12×add-cube-cbrt_binary64_109
associate-/l*_binary64_24
add-exp-log_binary64_112 add-cbrt-cube_binary64_110 add-log-exp_binary64_113 distribute-lft-out--_binary64_31 difference-of-squares_binary64_46
associate-/r*_binary64_23
div-sub_binary64_82 pow1_binary64_135 associate-/l/_binary64_26
flip-+_binary64_51 cbrt-undiv_binary64_108 flip3-+_binary64_80 flip--_binary64_52 +-commutative_binary64_9 associate-+r-_binary64_13 div-exp_binary64_125 clear-num_binary64_76 flip3--_binary64_81 frac-2neg_binary64_88 distribute-lft-out_binary64_30 sum-log_binary64_165 div-inv_binary64_74
Counts
2 → 51
Calls

2 calls:

13.0ms
(+.f64 x (/.f64 (-.f64 y x) z))
7.0ms
(/.f64 (-.f64 y x) z)

series99.0ms (3.5%)

Counts
2 → 6
Calls

2 calls:

54.0ms
(/.f64 (-.f64 y x) z)
45.0ms
(+.f64 x (/.f64 (-.f64 y x) z))

simplify54.0ms (1.9%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05196779

prune40.0ms (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New54357
Fresh000
Picked101
Done000
Total55358

Merged error: 0b

Counts
58 → 3
Compiler

Compiled 775 to 210 computations (72.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (/.f64 y z) (/.f64 x z))
0.0b
(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))

rewrite35.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity_binary64_77
16×add-sqr-sqrt_binary64_98
10×times-frac_binary64_83
add-log-exp_binary64_113
distribute-lft-out--_binary64_31
difference-of-squares_binary64_46 add-cube-cbrt_binary64_109
add-exp-log_binary64_112 add-cbrt-cube_binary64_110 sub-neg_binary64_70 pow1_binary64_135 diff-log_binary64_166 distribute-lft-out_binary64_30 sum-log_binary64_165 div-inv_binary64_74
flip-+_binary64_51 distribute-rgt-out--_binary64_33 flip3-+_binary64_80 flip--_binary64_52 +-commutative_binary64_9 associate-+r-_binary64_13 frac-sub_binary64_86 associate-+r+_binary64_11 flip3--_binary64_81 sub-div_binary64_84
Counts
2 → 38
Calls

2 calls:

18.0ms
(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
15.0ms
(-.f64 (/.f64 y z) (/.f64 x z))

series97.0ms (3.4%)

Counts
2 → 6
Calls

2 calls:

49.0ms
(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
48.0ms
(-.f64 (/.f64 y z) (/.f64 x z))

simplify64.0ms (2.3%)

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04927738
14927738

prune28.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New43144
Fresh112
Picked011
Done000
Total44347

Merged error: 0b

Counts
47 → 3
Compiler

Compiled 686 to 163 computations (76.2% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
0.6b
(cbrt.f64 (-.f64 y x))
0.6b
(cbrt.f64 (-.f64 y x))
0.6b
(cbrt.f64 (-.f64 y x))

rewrite33.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod_binary64_105
37×add-sqr-sqrt_binary64_98
35×*-un-lft-identity_binary64_77
18×cbrt-div_binary64_106
15×add-cube-cbrt_binary64_109
11×pow1_binary64_135
10×swap-sqr_binary64_44
distribute-lft-out--_binary64_31 flip--_binary64_52 flip3--_binary64_81 pow1/3_binary64_156
associate-*l*_binary64_20 associate-*r*_binary64_19
difference-of-squares_binary64_46
add-exp-log_binary64_112
add-cbrt-cube_binary64_110 add-log-exp_binary64_113 frac-times_binary64_87 unswap-sqr_binary64_45
pow-prod-down_binary64_145 pow-sqr_binary64_50 pow-prod-up_binary64_144 associate-*l/_binary64_22 associate-*r/_binary64_21
pow2_binary64_155 cbrt-unprod_binary64_107 pow-plus_binary64_137 prod-exp_binary64_123 *-commutative_binary64_10
Counts
4 → 101
Calls

4 calls:

12.0ms
(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
4.0ms
(cbrt.f64 (-.f64 y x))
4.0ms
(cbrt.f64 (-.f64 y x))
3.0ms
(cbrt.f64 (-.f64 y x))

series872.0ms (30.7%)

Counts
4 → 12
Calls

4 calls:

239.0ms
(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
218.0ms
(cbrt.f64 (-.f64 y x))
210.0ms
(cbrt.f64 (-.f64 y x))
205.0ms
(cbrt.f64 (-.f64 y x))

simplify55.0ms (1.9%)

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
049441654
149441654

prune91.0ms (3.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh011
Picked011
Done011
Total1133116

Merged error: 0b

Counts
116 → 3
Compiler

Compiled 2666 to 686 computations (74.3% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (/.f64 (*.f64 z (-.f64 y x)) (*.f64 z z)))
0.0b
(*.f64 z (-.f64 y x))
30.2b
(/.f64 (*.f64 z (-.f64 y x)) (*.f64 z z))

rewrite28.0ms (1%)

Algorithm
rewrite-expression-head
Rules
17×add-exp-log_binary64_112 add-cbrt-cube_binary64_110
*-un-lft-identity_binary64_77 add-sqr-sqrt_binary64_98
add-log-exp_binary64_113 cbrt-unprod_binary64_107 pow1_binary64_135 prod-exp_binary64_123 add-cube-cbrt_binary64_109 associate-*r*_binary64_19
cbrt-undiv_binary64_108 associate-*r/_binary64_21 div-exp_binary64_125
associate-*l*_binary64_20
sub-neg_binary64_70 flip--_binary64_52 flip3--_binary64_81 associate-/l/_binary64_26
associate-/r*_binary64_23 pow-prod-down_binary64_145 flip-+_binary64_51 distribute-lft-out--_binary64_31 times-frac_binary64_83 flip3-+_binary64_80 distribute-lft-in_binary64_28 associate-/l*_binary64_24 +-commutative_binary64_9 unswap-sqr_binary64_45 difference-of-squares_binary64_46 *-commutative_binary64_10 clear-num_binary64_76 distribute-rgt-in_binary64_29 frac-2neg_binary64_88 distribute-lft-out_binary64_30 sum-log_binary64_165 div-inv_binary64_74
Counts
3 → 59
Calls

3 calls:

9.0ms
(/.f64 (*.f64 z (-.f64 y x)) (*.f64 z z))
7.0ms
(*.f64 z (-.f64 y x))
5.0ms
(+.f64 x (/.f64 (*.f64 z (-.f64 y x)) (*.f64 z z)))

series169.0ms (5.9%)

Counts
3 → 9
Calls

3 calls:

68.0ms
(/.f64 (*.f64 z (-.f64 y x)) (*.f64 z z))
60.0ms
(*.f64 z (-.f64 y x))
41.0ms
(+.f64 x (/.f64 (*.f64 z (-.f64 y x)) (*.f64 z z)))

simplify62.0ms (2.2%)

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05038728

prune38.0ms (1.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh000
Picked011
Done022
Total68371

Merged error: 0b

Counts
71 → 3
Compiler

Compiled 908 to 220 computations (75.8% saved)

regimes29.0ms (1%)

Compiler

Compiled 120 to 90 computations (25% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02613
12613

end0.0ms (0%)

sample517.0ms (18.2%)

Algorithm
intervals
Results
211.0ms8000×body128valid
33.0ms1317×body128invalid
Compiler

Compiled 55 to 41 computations (25.5% saved)

Profiling

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