Details

Time bar (total: 3.6s)

analyze277.0ms (7.7%)

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
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)

sample14.0ms (0.4%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0ms17×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify102.0ms (2.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
05210
15210

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
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 x (*.f64 y (+.f64 z x)))
0.0b
(*.f64 y (+.f64 z x))

rewrite12.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_4511 add-sqr-sqrt_binary64_4533
pow1_binary64_4572 add-cbrt-cube_binary64_4547 add-exp-log_binary64_4549 add-log-exp_binary64_4550 associate-*r*_binary64_4451 add-cube-cbrt_binary64_4546
associate-*l*_binary64_4452
flip-+_binary64_4485 flip3-+_binary64_4514 distribute-lft-in_binary64_4460 associate-*r/_binary64_4453 associate-+r+_binary64_4443 distribute-rgt-in_binary64_4461
distribute-lft-out_binary64_4462 unswap-sqr_binary64_4479 +-commutative_binary64_4441 prod-exp_binary64_4560 cbrt-unprod_binary64_4544 sum-log_binary64_4602 pow-prod-down_binary64_4582 *-commutative_binary64_4442
Counts
2 → 36
Calls

2 calls:

6.0ms
(*.f64 y (+.f64 z x))
4.0ms
(+.f64 x (*.f64 y (+.f64 z x)))

series204.0ms (5.7%)

Counts
2 → 33
Calls

2 calls:

116.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
87.0ms
(*.f64 y (+.f64 z x))
Compiler

Compiled 399 to 340 computations (14.8% saved)

simplify63.0ms (1.7%)

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05073681

prune42.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New66369
Fresh000
Picked101
Done000
Total67370

Merged error: 0.0b

Counts
70 → 3
Compiler

Compiled 702 to 184 computations (73.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_4550
*-un-lft-identity_binary64_4511 sum-log_binary64_4602
pow1_binary64_4572 add-cbrt-cube_binary64_4547 add-exp-log_binary64_4549 flip-+_binary64_4485 distribute-lft-out_binary64_4462 flip3-+_binary64_4514 +-commutative_binary64_4441 add-sqr-sqrt_binary64_4533 add-cube-cbrt_binary64_4546
associate-+r+_binary64_4443
Counts
2 → 26
Calls

2 calls:

6.0ms
(+.f64 x (+.f64 (*.f64 y z) (*.f64 y x)))
4.0ms
(+.f64 (*.f64 y z) (*.f64 y x))

series220.0ms (6.1%)

Counts
2 → 33
Calls

2 calls:

123.0ms
(+.f64 x (+.f64 (*.f64 y z) (*.f64 y x)))
97.0ms
(+.f64 (*.f64 y z) (*.f64 y x))
Compiler

Compiled 399 to 340 computations (14.8% saved)

simplify60.0ms (1.7%)

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05117624

prune33.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New58159
Fresh022
Picked011
Done000
Total58462

Merged error: 0b

Counts
62 → 4
Compiler

Compiled 615 to 165 computations (73.2% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (cbrt.f64 (*.f64 y (+.f64 z x))))
2.8b
(cbrt.f64 (*.f64 y (+.f64 z x)))
2.8b
(cbrt.f64 (*.f64 y (+.f64 z x)))
2.8b
(cbrt.f64 (*.f64 y (+.f64 z x)))

rewrite28.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
20×associate-*r/_binary64_4453
18×cbrt-div_binary64_4543
11×pow1_binary64_4572
10×add-sqr-sqrt_binary64_4533
pow1/3_binary64_4593 flip-+_binary64_4485 flip3-+_binary64_4514
*-un-lft-identity_binary64_4511 add-cube-cbrt_binary64_4546
cbrt-prod_binary64_4542
add-exp-log_binary64_4549
add-cbrt-cube_binary64_4547 add-log-exp_binary64_4550 associate-*l*_binary64_4452 associate-*r*_binary64_4451 swap-sqr_binary64_4478 frac-times_binary64_4521
pow-prod-up_binary64_4581 pow-sqr_binary64_4484 pow-prod-down_binary64_4582 associate-*l/_binary64_4454
pow-plus_binary64_4574 unswap-sqr_binary64_4479 pow2_binary64_4592 prod-exp_binary64_4560 cbrt-unprod_binary64_4544 *-commutative_binary64_4442
Counts
4 → 72
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (cbrt.f64 (*.f64 y (+.f64 z x))))
5.0ms
(cbrt.f64 (*.f64 y (+.f64 z x)))
4.0ms
(cbrt.f64 (*.f64 y (+.f64 z x)))
4.0ms
(cbrt.f64 (*.f64 y (+.f64 z x)))

series1.0s (28.9%)

Counts
4 → 60
Calls

4 calls:

307.0ms
(*.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (cbrt.f64 (*.f64 y (+.f64 z x))))
248.0ms
(cbrt.f64 (*.f64 y (+.f64 z x)))
242.0ms
(cbrt.f64 (*.f64 y (+.f64 z x)))
241.0ms
(cbrt.f64 (*.f64 y (+.f64 z x)))
Compiler

Compiled 3448 to 2356 computations (31.7% saved)

simplify53.0ms (1.5%)

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
050851965

prune112.0ms (3.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1320132
Fresh022
Picked011
Done011
Total1324136

Merged error: 0b

Counts
136 → 4
Compiler

Compiled 3339 to 720 computations (78.4% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3)))
0.0b
(*.f64 y (+.f64 z x))
0.3b
(pow.f64 (*.f64 y (+.f64 z x)) 3)
34.3b
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3))

rewrite26.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity_binary64_4511
10×add-sqr-sqrt_binary64_4533
pow1_binary64_4572 add-cbrt-cube_binary64_4547 add-exp-log_binary64_4549
add-cube-cbrt_binary64_4546 cbrt-prod_binary64_4542
add-log-exp_binary64_4550 associate-*r/_binary64_4453
flip-+_binary64_4485 flip3-+_binary64_4514 associate-*r*_binary64_4451 cube-div_binary64_4540
associate-*l*_binary64_4452 pow-unpow_binary64_4588
distribute-lft-out_binary64_4462 unpow3_binary64_4577 cube-prod_binary64_4539 pow-exp_binary64_4579 sqr-pow_binary64_4483 rem-cube-cbrt_binary64_4534 unpow-prod-down_binary64_4590 prod-exp_binary64_4560 cbrt-unprod_binary64_4544 cbrt-div_binary64_4543 pow-prod-down_binary64_4582 cube-mult_binary64_4541 pow-pow_binary64_4583
rem-cbrt-cube_binary64_4535 pow1/3_binary64_4593 unswap-sqr_binary64_4479 distribute-lft-in_binary64_4460 +-commutative_binary64_4441 pow-to-exp_binary64_4580 sum-log_binary64_4602 distribute-rgt-in_binary64_4461 *-commutative_binary64_4442
Counts
4 → 78
Calls

4 calls:

6.0ms
(*.f64 y (+.f64 z x))
6.0ms
(pow.f64 (*.f64 y (+.f64 z x)) 3)
5.0ms
(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3)))
3.0ms
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3))

series486.0ms (13.5%)

Counts
4 → 69
Calls

4 calls:

153.0ms
(pow.f64 (*.f64 y (+.f64 z x)) 3)
146.0ms
(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3)))
98.0ms
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3))
90.0ms
(*.f64 y (+.f64 z x))
Compiler

Compiled 1279 to 1106 computations (13.5% saved)

simplify46.0ms (1.3%)

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
052511801

prune100.0ms (2.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1470147
Fresh011
Picked011
Done022
Total1474151

Merged error: 0b

Counts
151 → 4
Compiler

Compiled 1891 to 784 computations (58.5% saved)

regimes77.0ms (2.1%)

Compiler

Compiled 420 to 334 computations (20.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01213
11213

end0.0ms (0%)

sample558.0ms (15.5%)

Algorithm
intervals
Results
204.0ms8000×body128valid
14.0ms561×body128invalid
Compiler

Compiled 117 to 93 computations (20.5% saved)

Profiling

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