Details

Time bar (total: 4.0s)

analyze273.0ms (6.9%)

Algorithm
1×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)

sample16.0ms (0.4%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
0.0ms12×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify100.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
05210
15210

prune2.0ms (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)

localize5.0ms (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)))

rewrite34.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
6×add-sqr-sqrt_binary64_4533 *-un-lft-identity_binary64_4511
4×add-log-exp_binary64_4550 pow1_binary64_4572 add-exp-log_binary64_4549 add-cbrt-cube_binary64_4547 add-cube-cbrt_binary64_4546 associate-*r*_binary64_4451
3×associate-*l*_binary64_4452
2×flip3-+_binary64_4514 flip-+_binary64_4485 distribute-rgt-in_binary64_4461 associate-+r+_binary64_4443 distribute-lft-in_binary64_4460 associate-*r/_binary64_4453
1×sum-log_binary64_4602 +-commutative_binary64_4441 pow-prod-down_binary64_4582 prod-exp_binary64_4560 cbrt-unprod_binary64_4544 unswap-sqr_binary64_4479 distribute-lft-out_binary64_4462 *-commutative_binary64_4442
Counts
2 → 36
Calls

2 calls:

6.0ms
(*.f64 y (+.f64 z x))
3.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
Compiler

Compiled 491 to 140 computations (71.5% saved)

series205.0ms (5.2%)

Error
0.0b
Counts
2 → 33
Calls

2 calls:

108.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
80.0ms
(*.f64 y (+.f64 z x))
Compiler

Compiled 598 to 338 computations (43.5% saved)

simplify79.0ms (2%)

Algorithm
1×egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04971641
14971641

prune42.0ms (1.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New66369
Fresh000
Picked101
Done000
Total67370
Error
0b
Counts
70 → 3
Compiler

Compiled 680 to 148 computations (78.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite29.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
9×add-log-exp_binary64_4550
4×sum-log_binary64_4602
2×pow1_binary64_4572 add-exp-log_binary64_4549 add-cbrt-cube_binary64_4547 add-cube-cbrt_binary64_4546 add-sqr-sqrt_binary64_4533 flip3-+_binary64_4514 *-un-lft-identity_binary64_4511 flip-+_binary64_4485 +-commutative_binary64_4441
1×associate-+l+_binary64_4444
Counts
2 → 24
Calls

2 calls:

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

Compiled 422 to 90 computations (78.7% saved)

series194.0ms (4.9%)

Error
0b
Counts
2 → 36
Calls

2 calls:

113.0ms
(+.f64 (+.f64 (*.f64 z y) x) (*.f64 x y))
67.0ms
(+.f64 (*.f64 z y) x)
Compiler

Compiled 666 to 365 computations (45.2% saved)

simplify72.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
05079576

prune29.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New60060
Fresh022
Picked011
Done000
Total60363
Error
0b
Counts
63 → 3
Compiler

Compiled 621 to 104 computations (83.3% saved)

localize9.0ms (0.2%)

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))))
3.3b
(cbrt.f64 (*.f64 y (+.f64 z x)))
3.3b
(cbrt.f64 (*.f64 y (+.f64 z x)))
3.3b
(cbrt.f64 (*.f64 y (+.f64 z x)))

rewrite91.0ms (2.3%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
20×associate-*r/_binary64_4453
18×cbrt-div_binary64_4543
11×pow1_binary64_4572
10×add-sqr-sqrt_binary64_4533
9×pow1/3_binary64_4593 flip3-+_binary64_4514 flip-+_binary64_4485
8×add-cube-cbrt_binary64_4546 *-un-lft-identity_binary64_4511
7×cbrt-prod_binary64_4542
6×add-exp-log_binary64_4549
4×add-log-exp_binary64_4550 add-cbrt-cube_binary64_4547 frac-times_binary64_4521 swap-sqr_binary64_4478 associate-*l*_binary64_4452 associate-*r*_binary64_4451
2×pow-prod-down_binary64_4582 pow-prod-up_binary64_4581 pow-sqr_binary64_4484 associate-*l/_binary64_4454
1×pow2_binary64_4592 pow-plus_binary64_4574 prod-exp_binary64_4560 cbrt-unprod_binary64_4544 unswap-sqr_binary64_4479 *-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)))
5.0ms
(cbrt.f64 (*.f64 y (+.f64 z x)))
4.0ms
(cbrt.f64 (*.f64 y (+.f64 z x)))
Compiler

Compiled 2171 to 373 computations (82.8% saved)

series1.2s (30.4%)

Error
0b
Counts
4 → 68
Calls

4 calls:

335.0ms
(*.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (cbrt.f64 (*.f64 y (+.f64 z x))))
269.0ms
(cbrt.f64 (*.f64 y (+.f64 z x)))
261.0ms
(cbrt.f64 (*.f64 y (+.f64 z x)))
250.0ms
(cbrt.f64 (*.f64 y (+.f64 z x)))
Compiler

Compiled 6599 to 4272 computations (35.3% saved)

simplify74.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049962748
149962748

prune135.0ms (3.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1400140
Fresh011
Picked011
Done011
Total1403143
Error
0b
Counts
143 → 3
Compiler

Compiled 3930 to 1092 computations (72.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (*.f64 (*.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x))))
0.2b
(*.f64 y (sqrt.f64 (+.f64 z x)))
0.2b
(*.f64 (*.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x)))

rewrite82.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
14×sqrt-div_binary64_4528 associate-*r*_binary64_4451
12×add-sqr-sqrt_binary64_4533 *-un-lft-identity_binary64_4511
10×pow1_binary64_4572 add-exp-log_binary64_4549 add-cbrt-cube_binary64_4547 associate-*r/_binary64_4453
9×sqrt-prod_binary64_4527
8×add-cube-cbrt_binary64_4546 flip3-+_binary64_4514 flip-+_binary64_4485
5×add-log-exp_binary64_4550
4×pow-prod-down_binary64_4582 prod-exp_binary64_4560 cbrt-unprod_binary64_4544 frac-times_binary64_4521 associate-*l*_binary64_4452
2×associate-*l/_binary64_4454 distribute-lft-out_binary64_4462 *-commutative_binary64_4442 unswap-sqr_binary64_4479
1×sum-log_binary64_4602 +-commutative_binary64_4441
Counts
3 → 66
Calls

3 calls:

13.0ms
(*.f64 (*.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x)))
9.0ms
(*.f64 y (sqrt.f64 (+.f64 z x)))
3.0ms
(+.f64 x (*.f64 (*.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x))))
Compiler

Compiled 1534 to 305 computations (80.1% saved)

series320.0ms (8%)

Error
0b
Counts
3 → 45
Calls

3 calls:

117.0ms
(+.f64 x (*.f64 (*.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x))))
100.0ms
(*.f64 y (sqrt.f64 (+.f64 z x)))
80.0ms
(*.f64 (*.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x)))
Compiler

Compiled 1194 to 712 computations (40.4% saved)

simplify56.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049711326
149711326

prune64.0ms (1.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1110111
Fresh000
Picked011
Done022
Total1113114
Error
0b
Counts
114 → 3
Compiler

Compiled 1515 to 316 computations (79.1% saved)

regimes127.0ms (3.2%)

Accuracy

Total 0.0b remaining (83.5%)

Threshold costs 0.0b (83.5%)

Compiler

Compiled 856 to 658 computations (23.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01213
11213

end0.0ms (0%)

sample709.0ms (17.8%)

Algorithm
1×intervals
Results
188.0ms8000×body128valid
13.0ms612×body128invalid
Compiler

Compiled 226 to 174 computations (23% saved)

Profiling

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