Details

Time bar (total: 4.3s)

analyze436.0ms (10.3%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077940
177940
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
15.6%84.3%0.1%7
29.6%70.2%0.1%8
36.7%60.1%3.3%9
43.3%49.5%7.2%10
52.1%39.2%8.7%11
57.6%31.1%11.3%12
60.6%25.6%13.8%13
65.2%20.4%14.4%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample17.0ms (0.4%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0ms18×body128invalid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify20.0ms (0.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
030110
130110

prune3.0ms (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 23 to 20 computations (13% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite49.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
12×add-sqr-sqrt_binary64_21583 cancel-sign-sub-inv_binary64_21527
10×*-un-lft-identity_binary64_21561
add-cube-cbrt_binary64_21596 distribute-rgt-in_binary64_21511 distribute-lft-in_binary64_21510 associate-+r+_binary64_21493
associate-*r*_binary64_21501
pow1_binary64_21622 add-exp-log_binary64_21599 add-log-exp_binary64_21600 add-cbrt-cube_binary64_21597 sub-neg_binary64_21554
associate-*l*_binary64_21502
associate-*r/_binary64_21503
pow-prod-down_binary64_21632 prod-exp_binary64_21610 cbrt-unprod_binary64_21594 unswap-sqr_binary64_21529 flip3--_binary64_21565 flip--_binary64_21536 difference-of-squares_binary64_21530 distribute-lft-out--_binary64_21513 *-commutative_binary64_21492 sum-log_binary64_21652 flip3-+_binary64_21564 flip-+_binary64_21535 +-commutative_binary64_21491
Counts
2 → 49
Calls

2 calls:

11.0ms
(*.f64 x (-.f64 z y))
4.0ms
(+.f64 y (*.f64 x (-.f64 z y)))
Compiler

Compiled 682 to 192 computations (71.8% saved)

series248.0ms (5.8%)

Error
0.0b
Counts
2 → 33
Calls

2 calls:

131.0ms
(+.f64 y (*.f64 x (-.f64 z y)))
100.0ms
(*.f64 x (-.f64 z y))
Compiler

Compiled 618 to 363 computations (41.3% saved)

simplify83.0ms (1.9%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
04912764
14912764

prune48.0ms (1.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New80282
Fresh011
Picked101
Done000
Total81384
Error
0b
Counts
84 → 3
Compiler

Compiled 836 to 182 computations (78.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
0.0b
(*.f64 (-.f64 1 x) y)

rewrite44.0ms (1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-sqr-sqrt_binary64_21583
*-un-lft-identity_binary64_21561
associate-*l*_binary64_21502
pow1_binary64_21622 add-exp-log_binary64_21599 add-log-exp_binary64_21600 add-cbrt-cube_binary64_21597 add-cube-cbrt_binary64_21596
associate-*r*_binary64_21501
associate-*l/_binary64_21504 difference-of-squares_binary64_21530
pow-prod-down_binary64_21632 prod-exp_binary64_21610 cbrt-unprod_binary64_21594 unswap-sqr_binary64_21529 flip3--_binary64_21565 flip--_binary64_21536 distribute-lft-out--_binary64_21513 *-commutative_binary64_21492 sum-log_binary64_21652 flip3-+_binary64_21564 flip-+_binary64_21535 +-commutative_binary64_21491
Counts
2 → 34
Calls

2 calls:

7.0ms
(*.f64 (-.f64 1 x) y)
7.0ms
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
Compiler

Compiled 571 to 316 computations (44.7% saved)

series187.0ms (4.4%)

Error
0b
Counts
2 → 27
Calls

2 calls:

116.0ms
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
58.0ms
(*.f64 (-.f64 1 x) y)
Compiler

Compiled 529 to 325 computations (38.6% saved)

simplify66.0ms (1.6%)

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05615606

prune32.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New61061
Fresh022
Picked011
Done000
Total61364
Error
0b
Counts
64 → 3
Compiler

Compiled 688 to 205 computations (70.2% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.5b
(cbrt.f64 x)
0.5b
(cbrt.f64 x)
0.5b
(cbrt.f64 x)

rewrite69.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
25×cbrt-prod_binary64_21592
23×add-sqr-sqrt_binary64_21583
15×add-cube-cbrt_binary64_21596 *-un-lft-identity_binary64_21561
11×pow1_binary64_21622
pow1/3_binary64_21643
add-exp-log_binary64_21599 swap-sqr_binary64_21528 associate-*l*_binary64_21502 associate-*r*_binary64_21501
add-log-exp_binary64_21600 add-cbrt-cube_binary64_21597 unswap-sqr_binary64_21529
pow-prod-down_binary64_21632 pow-prod-up_binary64_21631 pow-sqr_binary64_21534
pow2_binary64_21642 pow-plus_binary64_21624 prod-exp_binary64_21610 cbrt-unprod_binary64_21594 *-commutative_binary64_21492
Counts
4 → 73
Calls

4 calls:

10.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1378 to 316 computations (77.1% saved)

series321.0ms (7.5%)

Error
0b
Counts
4 → 12
Calls

4 calls:

83.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
78.0ms
(cbrt.f64 x)
76.0ms
(cbrt.f64 x)
73.0ms
(cbrt.f64 x)
Compiler

Compiled 591 to 400 computations (32.3% saved)

simplify75.0ms (1.8%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04873548
14873548

prune61.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done011
Total85388
Error
0b
Counts
88 → 3
Compiler

Compiled 1412 to 377 computations (73.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 y (exp.f64 (log.f64 (*.f64 x (-.f64 z y)))))
0.0b
(*.f64 x (-.f64 z y))
2.2b
(log.f64 (*.f64 x (-.f64 z y)))
2.5b
(exp.f64 (log.f64 (*.f64 x (-.f64 z y))))

rewrite284.0ms (6.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
13×add-sqr-sqrt_binary64_21583 *-un-lft-identity_binary64_21561
12×pow1_binary64_21622
add-cube-cbrt_binary64_21596 add-exp-log_binary64_21599
associate-*r/_binary64_21503 add-log-exp_binary64_21600 add-cbrt-cube_binary64_21597 cancel-sign-sub-inv_binary64_21527
exp-prod_binary64_21613 associate-*r*_binary64_21501
log-pow_binary64_21650 log-div_binary64_21648 distribute-rgt-in_binary64_21511 distribute-lft-in_binary64_21510
pow-prod-down_binary64_21632 flip3--_binary64_21565 flip--_binary64_21536 associate-*l*_binary64_21502
exp-diff_binary64_21609 log-prod_binary64_21647 prod-exp_binary64_21610 rem-log-exp_binary64_21602 sub-neg_binary64_21554
exp-sum_binary64_21607 rem-exp-log_binary64_21601 cbrt-unprod_binary64_21594 unswap-sqr_binary64_21529 difference-of-squares_binary64_21530 distribute-lft-out--_binary64_21513 *-commutative_binary64_21492 sum-log_binary64_21652 flip3-+_binary64_21564 flip-+_binary64_21535 distribute-lft-out_binary64_21512 +-commutative_binary64_21491
Counts
4 → 72
Calls

4 calls:

8.0ms
(+.f64 y (exp.f64 (log.f64 (*.f64 x (-.f64 z y)))))
8.0ms
(*.f64 x (-.f64 z y))
6.0ms
(exp.f64 (log.f64 (*.f64 x (-.f64 z y))))
5.0ms
(log.f64 (*.f64 x (-.f64 z y)))
Compiler

Compiled 1154 to 345 computations (70.1% saved)

series1.2s (27.5%)

Error
0b
Counts
4 → 61
Calls

4 calls:

467.0ms
(+.f64 y (exp.f64 (log.f64 (*.f64 x (-.f64 z y)))))
432.0ms
(exp.f64 (log.f64 (*.f64 x (-.f64 z y))))
141.0ms
(log.f64 (*.f64 x (-.f64 z y)))
90.0ms
(*.f64 x (-.f64 z y))
Compiler

Compiled 2175 to 1590 computations (26.9% saved)

simplify64.0ms (1.5%)

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
050241450

prune71.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1330133
Fresh000
Picked011
Done022
Total1333136
Error
0b
Counts
136 → 3
Compiler

Compiled 1540 to 414 computations (73.1% saved)

regimes113.0ms (2.7%)

Accuracy

Total 0.0b remaining (72.6%)

Threshold costs 0.0b (72.6%)

Compiler

Compiled 600 to 542 computations (9.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01910
11910

end0.0ms (0%)

sample762.0ms (17.9%)

Algorithm
intervals
Results
232.0ms8000×body128valid
17.0ms633×body128invalid
Compiler

Compiled 168 to 151 computations (10.1% saved)

Profiling

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