Details

Time bar (total: 7.7s)

analyze703.0ms (9.1%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013440
113440
033
133
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
12.5%87.4%0.1%7
18.7%81.1%0.1%8
36.7%60.8%2.5%9
43.3%49.9%6.8%10
49.7%40.8%9.5%11
58.2%30.4%11.4%12
61.3%24.7%14%13
65%19.9%15.1%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample27.0ms (0.3%)

Algorithm
1×intervals
Results
12.0ms256×body128valid
1.0ms20×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify17.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
05210
15210

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 y (+.f64 z x))
0.0b
(+.f64 x (*.f64 y (+.f64 z x)))

rewrite28.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
6×add-sqr-sqrt_binary64_4192 *-un-lft-identity_binary64_4170
4×pow1_binary64_4231 add-exp-log_binary64_4208 associate-*r*_binary64_4110 add-cbrt-cube_binary64_4206 add-log-exp_binary64_4209 add-cube-cbrt_binary64_4205
3×associate-*l*_binary64_4111
2×distribute-lft-in_binary64_4119 distribute-rgt-in_binary64_4120 associate-*r/_binary64_4112 flip-+_binary64_4144 flip3-+_binary64_4173 associate-+r+_binary64_4102
1×prod-exp_binary64_4219 cbrt-unprod_binary64_4203 +-commutative_binary64_4100 *-commutative_binary64_4101 sum-log_binary64_4261 pow-prod-down_binary64_4241 distribute-lft-out_binary64_4121 unswap-sqr_binary64_4138
Counts
2 → 36
Calls

2 calls:

12.0ms
(*.f64 y (+.f64 z x))
12.0ms
(+.f64 x (*.f64 y (+.f64 z x)))

series356.0ms (4.6%)

Counts
2 → 33
Calls

2 calls:

198.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
157.0ms
(*.f64 y (+.f64 z x))
Compiler

Compiled 377 to 318 computations (15.6% saved)

simplify138.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (115.0ms)

IterNodesCost
04971641
14971641

prune79.0ms (1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New65469
Fresh000
Picked101
Done000
Total66470
Error
0b
Counts
70 → 4
Compiler

Compiled 689 to 156 computations (77.4% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 y z))
0.0b
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 x y))

rewrite16.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
9×add-log-exp_binary64_4209
4×sum-log_binary64_4261
2×pow1_binary64_4231 add-sqr-sqrt_binary64_4192 add-exp-log_binary64_4208 *-un-lft-identity_binary64_4170 flip-+_binary64_4144 add-cbrt-cube_binary64_4206 +-commutative_binary64_4100 flip3-+_binary64_4173 add-cube-cbrt_binary64_4205
1×associate-+l+_binary64_4103
Counts
2 → 24
Calls

2 calls:

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

series336.0ms (4.4%)

Counts
2 → 36
Calls

2 calls:

207.0ms
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 x y))
128.0ms
(+.f64 x (*.f64 y z))
Compiler

Compiled 414 to 344 computations (16.9% saved)

simplify134.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (114.0ms)

IterNodesCost
05051576

prune61.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New59160
Fresh123
Picked011
Done000
Total60464
Error
0b
Counts
64 → 4
Compiler

Compiled 630 to 110 computations (82.5% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (+.f64 x (*.f64 y (+.f64 x z)))) (cbrt.f64 (+.f64 x (*.f64 y (+.f64 x z)))))
0.6b
(cbrt.f64 (+.f64 x (*.f64 y (+.f64 x z))))
0.6b
(cbrt.f64 (+.f64 x (*.f64 y (+.f64 x z))))
0.6b
(cbrt.f64 (+.f64 x (*.f64 y (+.f64 x z))))

rewrite54.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
25×cbrt-prod_binary64_4201
23×add-sqr-sqrt_binary64_4192
18×cbrt-div_binary64_4202
15×*-un-lft-identity_binary64_4170 add-cube-cbrt_binary64_4205
11×pow1_binary64_4231
9×pow1/3_binary64_4252 flip-+_binary64_4144 flip3-+_binary64_4173
6×swap-sqr_binary64_4137 associate-*l*_binary64_4111 add-exp-log_binary64_4208 associate-*r*_binary64_4110
4×frac-times_binary64_4180 add-cbrt-cube_binary64_4206 add-log-exp_binary64_4209 unswap-sqr_binary64_4138
2×associate-*r/_binary64_4112 associate-*l/_binary64_4113 pow-prod-up_binary64_4240 pow-prod-down_binary64_4241 pow-sqr_binary64_4143
1×pow-plus_binary64_4233 prod-exp_binary64_4219 cbrt-unprod_binary64_4203 pow2_binary64_4251 *-commutative_binary64_4101
Counts
4 → 87
Calls

4 calls:

20.0ms
(*.f64 (cbrt.f64 (+.f64 x (*.f64 y (+.f64 x z)))) (cbrt.f64 (+.f64 x (*.f64 y (+.f64 x z)))))
5.0ms
(cbrt.f64 (+.f64 x (*.f64 y (+.f64 x z))))
5.0ms
(cbrt.f64 (+.f64 x (*.f64 y (+.f64 x z))))
5.0ms
(cbrt.f64 (+.f64 x (*.f64 y (+.f64 x z))))

series3.5s (44.9%)

Counts
4 → 88
Calls

4 calls:

1.5s
(*.f64 (cbrt.f64 (+.f64 x (*.f64 y (+.f64 x z)))) (cbrt.f64 (+.f64 x (*.f64 y (+.f64 x z)))))
663.0ms
(cbrt.f64 (+.f64 x (*.f64 y (+.f64 x z))))
663.0ms
(cbrt.f64 (+.f64 x (*.f64 y (+.f64 x z))))
608.0ms
(cbrt.f64 (+.f64 x (*.f64 y (+.f64 x z))))
Compiler

Compiled 9189 to 6523 computations (29% saved)

simplify173.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
050226795

prune427.0ms (5.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1750175
Fresh022
Picked011
Done011
Total1754179
Error
0b
Counts
179 → 4
Compiler

Compiled 7321 to 2246 computations (69.3% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 (*.f64 y z) (*.f64 x y))

rewrite9.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
3×add-log-exp_binary64_4209
1×pow1_binary64_4231 add-sqr-sqrt_binary64_4192 add-exp-log_binary64_4208 *-un-lft-identity_binary64_4170 flip-+_binary64_4144 add-cbrt-cube_binary64_4206 +-commutative_binary64_4100 flip3-+_binary64_4173 sum-log_binary64_4261 add-cube-cbrt_binary64_4205
Counts
1 → 11
Calls

1 calls:

7.0ms
(+.f64 (*.f64 y z) (*.f64 x y))

series169.0ms (2.2%)

Counts
1 → 15
Calls

1 calls:

168.0ms
(+.f64 (*.f64 y z) (*.f64 x y))
Compiler

Compiled 132 to 126 computations (4.5% saved)

simplify137.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 0 (122.0ms)

IterNodesCost
05253229

prune24.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New26026
Fresh011
Picked011
Done022
Total26430
Error
0b
Counts
30 → 4
Compiler

Compiled 192 to 44 computations (77.1% saved)

regimes173.0ms (2.2%)

Accuracy

Total 0.0b remaining (61.6%)

Threshold costs 0.0b (61.6%)

Compiler

Compiled 556 to 394 computations (29.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01213
11213

end0.0ms (0%)

sample1.1s (14.6%)

Algorithm
1×intervals
Results
376.0ms8000×body128valid
26.0ms574×body128invalid
Compiler

Compiled 151 to 108 computations (28.5% saved)

Profiling

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