Details

Time bar (total: 6.7s)

analyze409.0ms (6.1%)

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)

sample27.0ms (0.4%)

Algorithm
intervals
Results
11.0ms256×body128valid
2.0ms45×body128invalid
Compiler

Compiled 25 to 24 computations (4% saved)

simplify164.0ms (2.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
073815
173815

prune6.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 2
Compiler

Compiled 32 to 28 computations (12.5% saved)

localize8.0ms (0.1%)

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)
4.1b
(*.f64 (/.f64 x y) z)

rewrite136.0ms (2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
28×*-un-lft-identity_binary64_78
25×add-sqr-sqrt_binary64_100
22×times-frac_binary64_84
20×add-cube-cbrt_binary64_113
13×associate-*l*_binary64_19
10×add-exp-log_binary64_116 add-cbrt-cube_binary64_114
pow1_binary64_139 add-log-exp_binary64_117
distribute-lft-out_binary64_29 associate-/l*_binary64_23
associate-*l/_binary64_21 associate-*r*_binary64_18 associate-/r*_binary64_22
div-exp_binary64_129 prod-exp_binary64_127 cbrt-unprod_binary64_111 cbrt-undiv_binary64_112 unswap-sqr_binary64_46 div-inv_binary64_75 associate-/l/_binary64_25
pow-prod-down_binary64_149 *-commutative_binary64_9 frac-2neg_binary64_89 clear-num_binary64_77 flip3-+_binary64_81 flip-+_binary64_52 diff-log_binary64_170 frac-sub_binary64_87 sub-div_binary64_85 flip3--_binary64_82 sub-neg_binary64_71 flip--_binary64_53 cancel-sign-sub-inv_binary64_44
Counts
3 → 79
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)
Compiler

Compiled 1545 to 746 computations (51.7% saved)

series461.0ms (6.9%)

Error
0.0b
Counts
3 → 33
Calls

3 calls:

260.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
106.0ms
(*.f64 (/.f64 x y) z)
65.0ms
(/.f64 (+.f64 x 4) y)
Compiler

Compiled 1124 to 782 computations (30.4% saved)

simplify95.0ms (1.4%)

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
051711334

prune117.0ms (1.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1075112
Fresh011
Picked101
Done000
Total1086114
Error
0.0b
Counts
114 → 6
Compiler

Compiled 1878 to 909 computations (51.6% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 x y) z))
0.0b
(+.f64 (/.f64 4 y) (/.f64 x y))
4.1b
(*.f64 (/.f64 x y) z)

rewrite128.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
21×*-un-lft-identity_binary64_78
18×add-sqr-sqrt_binary64_100
16×times-frac_binary64_84
13×add-cube-cbrt_binary64_113 associate-*l*_binary64_19
10×add-log-exp_binary64_117
add-exp-log_binary64_116 add-cbrt-cube_binary64_114
pow1_binary64_139
associate-*l/_binary64_21 distribute-lft-out_binary64_29
div-inv_binary64_75 associate-*r*_binary64_18 frac-sub_binary64_87
prod-exp_binary64_127 cbrt-unprod_binary64_111 unswap-sqr_binary64_46 sum-log_binary64_169 frac-add_binary64_86 flip3-+_binary64_81 flip-+_binary64_52 diff-log_binary64_170
pow-prod-down_binary64_149 div-exp_binary64_129 cbrt-undiv_binary64_112 *-commutative_binary64_9 distribute-rgt-out_binary64_31 +-commutative_binary64_8 flip3--_binary64_82 sub-neg_binary64_71 flip--_binary64_53 cancel-sign-sub-inv_binary64_44 associate--l+_binary64_15
Counts
3 → 66
Calls

3 calls:

28.0ms
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 x y) z))
12.0ms
(+.f64 (/.f64 4 y) (/.f64 x y))
6.0ms
(*.f64 (/.f64 x y) z)
Compiler

Compiled 1522 to 642 computations (57.8% saved)

series515.0ms (7.7%)

Error
0.0b
Counts
3 → 33
Calls

3 calls:

297.0ms
(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 x y) z))
103.0ms
(*.f64 (/.f64 x y) z)
96.0ms
(+.f64 (/.f64 4 y) (/.f64 x y))
Compiler

Compiled 1178 to 800 computations (32.1% saved)

simplify86.0ms (1.3%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049601297
149601297

prune103.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New98199
Fresh055
Picked011
Done000
Total987105
Error
0b
Counts
105 → 7
Compiler

Compiled 1836 to 825 computations (55.1% saved)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.5b
(*.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 z (cbrt.f64 (/.f64 x y))))
10.7b
(cbrt.f64 (/.f64 x y))
10.7b
(cbrt.f64 (/.f64 x y))
10.7b
(cbrt.f64 (/.f64 x y))

rewrite132.0ms (2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
39×cbrt-prod_binary64_109
27×times-frac_binary64_84
25×add-cube-cbrt_binary64_113 add-sqr-sqrt_binary64_100 *-un-lft-identity_binary64_78
16×pow1_binary64_139 add-exp-log_binary64_116
15×cbrt-div_binary64_110
10×add-cbrt-cube_binary64_114
pow-prod-down_binary64_149 prod-exp_binary64_127 cbrt-unprod_binary64_111
associate-*r/_binary64_20
frac-times_binary64_88 associate-*l/_binary64_21
add-log-exp_binary64_117
pow1/3_binary64_160 div-inv_binary64_75
associate-*l*_binary64_19 associate-*r*_binary64_18 *-commutative_binary64_9
Counts
4 → 95
Calls

4 calls:

16.0ms
(*.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 z (cbrt.f64 (/.f64 x y))))
3.0ms
(cbrt.f64 (/.f64 x y))
2.0ms
(cbrt.f64 (/.f64 x y))
2.0ms
(cbrt.f64 (/.f64 x y))
Compiler

Compiled 2853 to 841 computations (70.5% saved)

series905.0ms (13.6%)

Error
0b
Counts
4 → 27
Calls

4 calls:

250.0ms
(cbrt.f64 (/.f64 x y))
233.0ms
(cbrt.f64 (/.f64 x y))
230.0ms
(cbrt.f64 (/.f64 x y))
159.0ms
(*.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 z (cbrt.f64 (/.f64 x y))))
Compiler

Compiled 2004 to 1363 computations (32% saved)

simplify111.0ms (1.7%)

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
050441461

prune129.0ms (1.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1220122
Fresh055
Picked011
Done011
Total1227129
Error
0b
Counts
129 → 7
Compiler

Compiled 3110 to 1028 computations (66.9% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (+.f64 x 4) (*.f64 x z))
2.6b
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

rewrite61.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
10×add-cube-cbrt_binary64_113 add-sqr-sqrt_binary64_100 *-un-lft-identity_binary64_78
times-frac_binary64_84
add-log-exp_binary64_117
add-exp-log_binary64_116 add-cbrt-cube_binary64_114
associate-/l*_binary64_23 associate-/r*_binary64_22
pow1_binary64_139 flip3--_binary64_82 associate-/l/_binary64_25 flip--_binary64_53 diff-log_binary64_170
div-exp_binary64_129 cbrt-undiv_binary64_112 frac-2neg_binary64_89 div-sub_binary64_83 clear-num_binary64_77 div-inv_binary64_75 sum-log_binary64_169 sub-neg_binary64_71 cancel-sign-sub-inv_binary64_44 associate--l+_binary64_15
Counts
2 → 44
Calls

2 calls:

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

Compiled 863 to 467 computations (45.9% saved)

series292.0ms (4.4%)

Error
0b
Counts
2 → 27
Calls

2 calls:

200.0ms
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
71.0ms
(-.f64 (+.f64 x 4) (*.f64 x z))
Compiler

Compiled 740 to 563 computations (23.9% saved)

simplify77.0ms (1.1%)

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049601108
149601108

prune62.0ms (0.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New71071
Fresh044
Picked011
Done022
Total71778
Error
0b
Counts
78 → 7
Compiler

Compiled 1022 to 478 computations (53.2% saved)

regimes652.0ms (9.8%)

Accuracy

Total 0.2b remaining (97.7%)

Threshold costs 0.2b (97.7%)

Compiler

Compiled 4617 to 3431 computations (25.7% saved)

bsearch47.0ms (0.7%)

Steps
ItersRangePoint
5
4.694686199164076e+24
1.5642149181224514e+25
4.7579917362672096e+24
7
-1.888312890188662e-13
-2.6617015160681638e-15
-2.8755087116004516e-15
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0112102
1112102

end0.0ms (0%)

sample1.9s (28.4%)

Algorithm
intervals
Results
366.0ms8000×body128valid
57.0ms1247×body128invalid
Compiler

Compiled 994 to 730 computations (26.6% saved)

Profiling

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