Details

Time bar (total: 2.7s)

analyze98.0ms (3.6%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013370
113370
044
144
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 24 to 20 computations (16.7% saved)

sample33.0ms (1.2%)

Algorithm
1×intervals
Results
12.0ms256×body128valid
11.0ms256×pre128true
Compiler

Compiled 31 to 31 computations (0% saved)

simplify8.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
04310
14310

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 a (+.f64 (+.f64 b c) d))

rewrite11.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
8×*-un-lft-identity_binary64_3488
5×add-sqr-sqrt_binary64_3510 associate-*r*_binary64_3428
3×distribute-lft-out_binary64_3439 add-cbrt-cube_binary64_3524 add-exp-log_binary64_3526 associate-*l*_binary64_3429 add-cube-cbrt_binary64_3523 pow1_binary64_3549
2×associate-*r/_binary64_3430
1×distribute-lft-in_binary64_3437 distribute-rgt-in_binary64_3438 unswap-sqr_binary64_3456 flip-+_binary64_3462 flip3-+_binary64_3491 cbrt-unprod_binary64_3521 pow-prod-down_binary64_3559 add-log-exp_binary64_3527 *-commutative_binary64_3419 prod-exp_binary64_3537
Counts
1 → 24
Calls

1 calls:

9.0ms
(*.f64 a (+.f64 (+.f64 b c) d))

series33.0ms (1.2%)

Counts
1 → 3
Calls

1 calls:

32.0ms
(*.f64 a (+.f64 (+.f64 b c) d))

simplify81.0ms (3%)

Algorithm
1×egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
05133312

prune24.0ms (0.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New24327
Fresh000
Picked101
Done000
Total25328
Error
0b
Counts
28 → 3
Compiler

Compiled 356 to 94 computations (73.6% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
0.0b
(*.f64 a (+.f64 b c))

rewrite15.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
6×add-sqr-sqrt_binary64_3510 *-un-lft-identity_binary64_3488
4×add-cbrt-cube_binary64_3524 add-exp-log_binary64_3526 associate-*r*_binary64_3428 add-cube-cbrt_binary64_3523 add-log-exp_binary64_3527 pow1_binary64_3549
3×associate-*l*_binary64_3429
2×distribute-lft-in_binary64_3437 distribute-lft-out_binary64_3439 distribute-rgt-in_binary64_3438 flip-+_binary64_3462 flip3-+_binary64_3491 associate-*r/_binary64_3430 associate-+l+_binary64_3421
1×unswap-sqr_binary64_3456 cbrt-unprod_binary64_3521 +-commutative_binary64_3418 pow-prod-down_binary64_3559 *-commutative_binary64_3419 sum-log_binary64_3579 prod-exp_binary64_3537
Counts
2 → 37
Calls

2 calls:

6.0ms
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
6.0ms
(*.f64 a (+.f64 b c))

series62.0ms (2.3%)

Counts
2 → 6
Calls

2 calls:

35.0ms
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
26.0ms
(*.f64 a (+.f64 b c))

simplify84.0ms (3.1%)

Algorithm
1×egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
05005471

prune28.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New43043
Fresh022
Picked011
Done000
Total43346
Error
0b
Counts
46 → 3
Compiler

Compiled 581 to 149 computations (74.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 a (+.f64 (+.f64 b c) d))
0.1b
(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
0.1b
(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
0.4b
(*.f64 (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))) (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))

rewrite51.0ms (1.9%)

Algorithm
1×rewrite-expression-head
Rules
61×pow1_binary64_3549
32×sqrt-pow1_binary64_3506
23×pow-prod-down_binary64_3559
20×associate-*r/_binary64_3430
16×sqrt-div_binary64_3505
15×*-un-lft-identity_binary64_3488
14×add-sqr-sqrt_binary64_3510
12×pow1/2_binary64_3568
10×pow-prod-up_binary64_3558 add-cube-cbrt_binary64_3523
9×flip-+_binary64_3462 flip3-+_binary64_3491 associate-*r*_binary64_3428
8×add-cbrt-cube_binary64_3524 add-exp-log_binary64_3526
7×associate-*l*_binary64_3429
6×pow-sqr_binary64_3461 sqrt-prod_binary64_3504
4×swap-sqr_binary64_3455 frac-times_binary64_3498 add-log-exp_binary64_3527
3×distribute-lft-out_binary64_3439
2×associate-*l/_binary64_3431 unswap-sqr_binary64_3456 cbrt-unprod_binary64_3521 *-commutative_binary64_3419 prod-exp_binary64_3537
1×distribute-lft-in_binary64_3437 distribute-rgt-in_binary64_3438 rem-square-sqrt_binary64_3500 pow2_binary64_3569 pow-plus_binary64_3551 sqrt-unprod_binary64_3508
Counts
4 → 107
Calls

4 calls:

19.0ms
(*.f64 (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))) (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))
9.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
7.0ms
(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
7.0ms
(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))

series412.0ms (15.2%)

Counts
4 → 12
Calls

4 calls:

174.0ms
(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
172.0ms
(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
37.0ms
(*.f64 (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))) (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))
28.0ms
(*.f64 a (+.f64 (+.f64 b c) d))

simplify49.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
052351823

prune83.0ms (3.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1190119
Fresh011
Picked011
Done011
Total1193122
Error
0b
Counts
122 → 3
Compiler

Compiled 2364 to 444 computations (81.2% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite15.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
25×cbrt-prod_binary64_3519
23×add-sqr-sqrt_binary64_3510
15×add-cube-cbrt_binary64_3523 *-un-lft-identity_binary64_3488
11×pow1_binary64_3549
9×pow1/3_binary64_3570
6×swap-sqr_binary64_3455 add-exp-log_binary64_3526 associate-*l*_binary64_3429 associate-*r*_binary64_3428
4×unswap-sqr_binary64_3456 add-cbrt-cube_binary64_3524 add-log-exp_binary64_3527
2×pow-prod-up_binary64_3558 pow-prod-down_binary64_3559 pow-sqr_binary64_3461
1×cbrt-unprod_binary64_3521 pow2_binary64_3569 pow-plus_binary64_3551 *-commutative_binary64_3419 prod-exp_binary64_3537
Counts
4 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 a) (cbrt.f64 a))
1.0ms
(cbrt.f64 a)
1.0ms
(cbrt.f64 a)
1.0ms
(cbrt.f64 a)

series358.0ms (13.2%)

Counts
4 → 12
Calls

4 calls:

103.0ms
(*.f64 (cbrt.f64 a) (cbrt.f64 a))
88.0ms
(cbrt.f64 a)
87.0ms
(cbrt.f64 a)
80.0ms
(cbrt.f64 a)

simplify71.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04892563
14892563

prune55.0ms (2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh000
Picked011
Done022
Total85388
Error
0b
Counts
88 → 3
Compiler

Compiled 1414 to 321 computations (77.3% saved)

regimes148.0ms (5.4%)

Accuracy

Total 0.0b remaining (82.1%)

Threshold costs 0.0b (82.1%)

Compiler

Compiled 887 to 704 computations (20.6% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
11313
Compiler

Compiled 18 to 16 computations (11.1% saved)

end0.0ms (0%)

sample958.0ms (35.3%)

Algorithm
1×intervals
Results
340.0ms8000×pre128true
213.0ms8000×body128valid
Compiler

Compiled 142 to 114 computations (19.7% saved)

Profiling

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