Details

Time bar (total: 2.9s)

analyze346.0ms (11.9%)

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
21.8%78%0.1%6
26.5%73.3%0.1%7
32%67.9%0.1%8
46.4%52.7%0.9%9
50.9%47.2%1.9%10
54.3%43.3%2.4%11
62.1%32.5%5.4%12
64.3%28.1%7.6%13
66.3%24.6%9.2%14
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample19.0ms (0.6%)

Algorithm
intervals
Results
10.0ms256×body128valid
1.0ms26×body128invalid
Compiler

Compiled 25 to 24 computations (4% saved)

simplify206.0ms (7.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
071815
171815

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2
Compiler

Compiled 32 to 28 computations (12.5% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
0.0b
(/.f64 (+.f64 x 4) y)
4.7b
(*.f64 (/.f64 x y) z)

rewrite34.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity_binary64_77
25×add-sqr-sqrt_binary64_98
22×times-frac_binary64_83
20×add-cube-cbrt_binary64_109
13×associate-*l*_binary64_20
10×add-exp-log_binary64_112 add-cbrt-cube_binary64_110
add-log-exp_binary64_113 pow1_binary64_135
associate-/l*_binary64_24 distribute-lft-out_binary64_30
associate-/r*_binary64_23 associate-*l/_binary64_22 associate-*r*_binary64_19
cbrt-unprod_binary64_107 cbrt-undiv_binary64_108 div-exp_binary64_125 unswap-sqr_binary64_45 prod-exp_binary64_123 associate-/l/_binary64_26 div-inv_binary64_74
pow-prod-down_binary64_145 flip-+_binary64_51 flip3-+_binary64_80 sub-neg_binary64_70 flip--_binary64_52 frac-sub_binary64_86 *-commutative_binary64_10 clear-num_binary64_76 flip3--_binary64_81 diff-log_binary64_166 frac-2neg_binary64_88 sub-div_binary64_84
Counts
3 → 78
Calls

3 calls:

11.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
7.0ms
(*.f64 (/.f64 x y) z)
6.0ms
(/.f64 (+.f64 x 4) y)

series162.0ms (5.6%)

Counts
3 → 9
Calls

3 calls:

77.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
49.0ms
(*.f64 (/.f64 x y) z)
36.0ms
(/.f64 (+.f64 x 4) y)

simplify76.0ms (2.6%)

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049321156
149321156

prune88.0ms (3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New83487
Fresh011
Picked101
Done000
Total84589

Merged error: 0.0b

Counts
89 → 5
Compiler

Compiled 1618 to 801 computations (50.5% saved)

localize19.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)

rewrite10.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64_105
add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77 add-sqr-sqrt_binary64_98
add-exp-log_binary64_112 add-cbrt-cube_binary64_110 add-log-exp_binary64_113 pow1_binary64_135 pow1/3_binary64_156
Counts
4 → 44
Calls

4 calls:

1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 x)

series591.0ms (20.3%)

Counts
4 → 12
Calls

4 calls:

151.0ms
(cbrt.f64 x)
149.0ms
(cbrt.f64 y)
145.0ms
(cbrt.f64 y)
145.0ms
(cbrt.f64 y)

simplify49.0ms (1.7%)

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05028340

prune65.0ms (2.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New56056
Fresh044
Picked011
Done000
Total56561

Merged error: 0.0b

Counts
61 → 5
Compiler

Compiled 1684 to 587 computations (65.1% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))
4.7b
(*.f64 (/.f64 x y) (-.f64 1 z))

rewrite27.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt_binary64_98
13×associate-*l*_binary64_20 *-un-lft-identity_binary64_77
10×times-frac_binary64_83 add-cube-cbrt_binary64_109
add-exp-log_binary64_112 add-cbrt-cube_binary64_110
associate-*r*_binary64_19
frac-add_binary64_85
add-log-exp_binary64_113 frac-times_binary64_87 sub-neg_binary64_70 pow1_binary64_135 flip--_binary64_52 associate-*r/_binary64_21 flip3--_binary64_81
cbrt-unprod_binary64_107 distribute-lft-in_binary64_28 associate-*l/_binary64_22 unswap-sqr_binary64_45 difference-of-squares_binary64_46 prod-exp_binary64_123 associate-+r+_binary64_11 distribute-rgt-in_binary64_29
pow-prod-down_binary64_145 flip-+_binary64_51 cbrt-undiv_binary64_108 distribute-lft-out--_binary64_31 flip3-+_binary64_80 +-commutative_binary64_9 div-exp_binary64_125 *-commutative_binary64_10 sum-log_binary64_165 div-inv_binary64_74
Counts
2 → 59
Calls

2 calls:

11.0ms
(*.f64 (/.f64 x y) (-.f64 1 z))
9.0ms
(+.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))

series156.0ms (5.4%)

Counts
2 → 6
Calls

2 calls:

84.0ms
(*.f64 (/.f64 x y) (-.f64 1 z))
72.0ms
(+.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))

simplify48.0ms (1.6%)

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050261075

prune65.0ms (2.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New64165
Fresh033
Picked011
Done011
Total64670

Merged error: 0b

Counts
70 → 6
Compiler

Compiled 1279 to 758 computations (40.7% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

2.7b
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

rewrite11.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
times-frac_binary64_83 add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77 add-sqr-sqrt_binary64_98
add-exp-log_binary64_112 associate-/r*_binary64_23 add-cbrt-cube_binary64_110 associate-/l*_binary64_24
associate-/l/_binary64_26
add-log-exp_binary64_113 cbrt-undiv_binary64_108 div-sub_binary64_82 pow1_binary64_135 flip--_binary64_52 div-exp_binary64_125 clear-num_binary64_76 flip3--_binary64_81 frac-2neg_binary64_88 div-inv_binary64_74
Counts
1 → 30
Calls

1 calls:

8.0ms
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

series82.0ms (2.8%)

Counts
1 → 3
Calls

1 calls:

81.0ms
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

simplify51.0ms (1.8%)

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05344690

prune32.0ms (1.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New32133
Fresh123
Picked011
Done022
Total33639

Merged error: 0b

Counts
39 → 6
Compiler

Compiled 608 to 323 computations (46.9% saved)

regimes43.0ms (1.5%)

Compiler

Compiled 324 to 258 computations (20.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07842
17842

end0.0ms (0%)

sample701.0ms (24.1%)

Algorithm
intervals
Results
310.0ms8000×body128valid
45.0ms1198×body128invalid
Compiler

Compiled 145 to 110 computations (24.1% saved)

Profiling

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