Details

Time bar (total: 5.0s)

analyze313.0ms (6.3%)

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
6.2%93.6%0.1%6
15.6%84.3%0.1%7
23.4%76.5%0.1%8
33.5%63.2%3.3%9
43.3%49.5%7.2%10
48.2%43.9%7.9%11
54.5%34.2%11.3%12
60.6%25.6%13.8%13
63.1%22.8%14.1%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (0.3%)

Algorithm
intervals
Results
7.0ms256×body128valid
1.0ms26×body128invalid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify179.0ms (3.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (14.0ms)

IterNodesCost
027410
127410

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite13.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_17285
*-un-lft-identity_binary64_17264
associate-*r*_binary64_17206
add-cbrt-cube_binary64_17297 sub-neg_binary64_17257 add-log-exp_binary64_17300 add-exp-log_binary64_17299 pow1_binary64_17322 add-cube-cbrt_binary64_17296
associate-*l*_binary64_17207
distribute-lft-in_binary64_17215 associate-+r+_binary64_17198 distribute-rgt-in_binary64_17216 associate-*r/_binary64_17208
pow-prod-down_binary64_17332 +-commutative_binary64_17196 prod-exp_binary64_17310 sum-log_binary64_17352 cbrt-unprod_binary64_17294 difference-of-squares_binary64_17233 flip--_binary64_17239 *-commutative_binary64_17197 flip-+_binary64_17238 distribute-lft-out--_binary64_17218 flip3--_binary64_17268 unswap-sqr_binary64_17232 flip3-+_binary64_17267
Counts
2 → 37
Calls

2 calls:

7.0ms
(*.f64 y (-.f64 x z))
4.0ms
(+.f64 z (*.f64 y (-.f64 x z)))

series128.0ms (2.6%)

Counts
2 → 6
Calls

2 calls:

69.0ms
(*.f64 y (-.f64 x z))
58.0ms
(+.f64 z (*.f64 y (-.f64 x z)))

simplify53.0ms (1.1%)

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05240482

prune26.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New42143
Fresh000
Picked011
Done000
Total42244

Merged error: 0.0b

Counts
44 → 2
Compiler

Compiled 528 to 136 computations (74.2% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) (cbrt.f64 (*.f64 y (-.f64 x z))))
4.4b
(cbrt.f64 (*.f64 y (-.f64 x z)))
4.4b
(cbrt.f64 (*.f64 y (-.f64 x z)))
4.4b
(cbrt.f64 (*.f64 y (-.f64 x z)))

rewrite31.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
20×associate-*r/_binary64_17208
18×cbrt-div_binary64_17293
11×pow1_binary64_17322
10×add-sqr-sqrt_binary64_17285
pow1/3_binary64_17343 flip--_binary64_17239 flip3--_binary64_17268
*-un-lft-identity_binary64_17264 add-cube-cbrt_binary64_17296
cbrt-prod_binary64_17292
add-exp-log_binary64_17299
add-cbrt-cube_binary64_17297 swap-sqr_binary64_17231 associate-*l*_binary64_17207 add-log-exp_binary64_17300 frac-times_binary64_17274 associate-*r*_binary64_17206
pow-prod-down_binary64_17332 pow-sqr_binary64_17237 associate-*l/_binary64_17209 pow-prod-up_binary64_17331
prod-exp_binary64_17310 cbrt-unprod_binary64_17294 pow2_binary64_17342 pow-plus_binary64_17324 *-commutative_binary64_17197 unswap-sqr_binary64_17232
Counts
4 → 72
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) (cbrt.f64 (*.f64 y (-.f64 x z))))
5.0ms
(cbrt.f64 (*.f64 y (-.f64 x z)))
5.0ms
(cbrt.f64 (*.f64 y (-.f64 x z)))
5.0ms
(cbrt.f64 (*.f64 y (-.f64 x z)))

series1.2s (24.1%)

Counts
4 → 12
Calls

4 calls:

357.0ms
(*.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) (cbrt.f64 (*.f64 y (-.f64 x z))))
289.0ms
(cbrt.f64 (*.f64 y (-.f64 x z)))
281.0ms
(cbrt.f64 (*.f64 y (-.f64 x z)))
275.0ms
(cbrt.f64 (*.f64 y (-.f64 x z)))

simplify76.0ms (1.5%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
048981189
148981189

prune77.0ms (1.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New82284
Fresh000
Picked011
Done011
Total82486

Merged error: 0.0b

Counts
86 → 4
Compiler

Compiled 2173 to 447 computations (79.4% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (-.f64 x z))
0.6b
(cbrt.f64 y)
4.4b
(cbrt.f64 (*.f64 y (-.f64 x z)))
4.4b
(cbrt.f64 (*.f64 y (-.f64 x z)))

rewrite20.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod_binary64_17292
add-sqr-sqrt_binary64_17285 *-un-lft-identity_binary64_17264
cbrt-div_binary64_17293 add-cube-cbrt_binary64_17296
add-cbrt-cube_binary64_17297 pow1/3_binary64_17343 add-log-exp_binary64_17300 add-exp-log_binary64_17299 pow1_binary64_17322 associate-*r/_binary64_17208
flip--_binary64_17239 flip3--_binary64_17268
difference-of-squares_binary64_17233 distribute-lft-out--_binary64_17218
Counts
4 → 48
Calls

4 calls:

6.0ms
(cbrt.f64 (*.f64 y (-.f64 x z)))
5.0ms
(cbrt.f64 (*.f64 y (-.f64 x z)))
3.0ms
(cbrt.f64 (-.f64 x z))
1.0ms
(cbrt.f64 y)

series937.0ms (18.8%)

Counts
4 → 12
Calls

4 calls:

291.0ms
(cbrt.f64 (*.f64 y (-.f64 x z)))
280.0ms
(cbrt.f64 (*.f64 y (-.f64 x z)))
210.0ms
(cbrt.f64 (-.f64 x z))
156.0ms
(cbrt.f64 y)

simplify106.0ms (2.1%)

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
04902636
14902636

prune57.0ms (1.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New60060
Fresh011
Picked011
Done022
Total60464

Merged error: 0.0b

Counts
64 → 4
Compiler

Compiled 1662 to 320 computations (80.7% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

4.4b
(cbrt.f64 (*.f64 y (-.f64 x z)))
4.4b
(cbrt.f64 (*.f64 y (-.f64 x z)))
10.7b
(*.f64 y (-.f64 (*.f64 x x) (*.f64 z z)))
22.5b
(cbrt.f64 (*.f64 y (-.f64 (*.f64 x x) (*.f64 z z))))

rewrite35.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_17285 associate-*r/_binary64_17208
add-cbrt-cube_binary64_17297 *-un-lft-identity_binary64_17264 add-exp-log_binary64_17299 pow1_binary64_17322 cbrt-div_binary64_17293 add-cube-cbrt_binary64_17296
add-log-exp_binary64_17300 flip--_binary64_17239 flip3--_binary64_17268 associate-*r*_binary64_17206
pow1/3_binary64_17343 associate-*l*_binary64_17207 cbrt-prod_binary64_17292
sub-neg_binary64_17257
pow-prod-down_binary64_17332 prod-exp_binary64_17310 cbrt-unprod_binary64_17294 difference-of-squares_binary64_17233 distribute-lft-in_binary64_17215 *-commutative_binary64_17197 distribute-rgt-in_binary64_17216 unswap-sqr_binary64_17232
Counts
4 → 56
Calls

4 calls:

9.0ms
(cbrt.f64 (*.f64 y (-.f64 x z)))
8.0ms
(*.f64 y (-.f64 (*.f64 x x) (*.f64 z z)))
6.0ms
(cbrt.f64 (*.f64 y (-.f64 (*.f64 x x) (*.f64 z z))))
5.0ms
(cbrt.f64 (*.f64 y (-.f64 x z)))

series921.0ms (18.5%)

Counts
4 → 12
Calls

4 calls:

283.0ms
(cbrt.f64 (*.f64 y (-.f64 x z)))
275.0ms
(cbrt.f64 (*.f64 y (-.f64 x z)))
257.0ms
(cbrt.f64 (*.f64 y (-.f64 (*.f64 x x) (*.f64 z z))))
106.0ms
(*.f64 y (-.f64 (*.f64 x x) (*.f64 z z)))

simplify85.0ms (1.7%)

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
04885984
14885984

prune69.0ms (1.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New68068
Fresh000
Picked011
Done033
Total68472

Merged error: 0.0b

Counts
72 → 4
Compiler

Compiled 2436 to 426 computations (82.5% saved)

regimes36.0ms (0.7%)

Compiler

Compiled 255 to 150 computations (41.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01910
11910

end0.0ms (0%)

sample562.0ms (11.3%)

Algorithm
intervals
Results
238.0ms8000×body128valid
19.0ms666×body128invalid
Compiler

Compiled 107 to 68 computations (36.4% saved)

Profiling

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