Details

Time bar (total: 3.2s)

analyze3.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 24 to 20 computations (16.7% saved)

sample26.0ms (0.8%)

Algorithm
1×intervals
Results
10.0ms256×pre128true
7.0ms256×body128valid
Compiler

Compiled 31 to 31 computations (0% saved)

simplify199.0ms (6.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
04310
14310

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite21.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
8×*-un-lft-identity_binary64_1442
5×associate-*r*_binary64_1382 add-sqr-sqrt_binary64_1464
3×add-cbrt-cube_binary64_1478 associate-*l*_binary64_1383 add-exp-log_binary64_1480 distribute-lft-out_binary64_1393 pow1_binary64_1503 add-cube-cbrt_binary64_1477
2×associate-*r/_binary64_1384
1×cbrt-unprod_binary64_1475 pow-prod-down_binary64_1513 *-commutative_binary64_1373 add-log-exp_binary64_1481 distribute-lft-in_binary64_1391 flip3-+_binary64_1445 distribute-rgt-in_binary64_1392 flip-+_binary64_1416 prod-exp_binary64_1491 unswap-sqr_binary64_1410
Counts
1 → 24
Calls

1 calls:

17.0ms
(*.f64 a (+.f64 (+.f64 b c) d))

series76.0ms (2.4%)

Counts
1 → 3
Calls

1 calls:

76.0ms
(*.f64 a (+.f64 (+.f64 b c) d))

simplify82.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
05242312

prune26.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New25227
Fresh000
Picked011
Done000
Total25328

Merged error: 0b

Counts
28 → 3
Compiler

Compiled 340 to 84 computations (75.3% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite20.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
6×add-sqr-sqrt_binary64_1464 *-un-lft-identity_binary64_1442
4×associate-*r*_binary64_1382 add-cbrt-cube_binary64_1478 add-log-exp_binary64_1481 add-exp-log_binary64_1480 pow1_binary64_1503 add-cube-cbrt_binary64_1477
3×associate-*l*_binary64_1383
2×associate-*r/_binary64_1384 associate-+l+_binary64_1375 distribute-lft-out_binary64_1393 distribute-lft-in_binary64_1391 flip3-+_binary64_1445 distribute-rgt-in_binary64_1392 flip-+_binary64_1416
1×cbrt-unprod_binary64_1475 sum-log_binary64_1533 +-commutative_binary64_1372 pow-prod-down_binary64_1513 *-commutative_binary64_1373 prod-exp_binary64_1491 unswap-sqr_binary64_1410
Counts
2 → 37
Calls

2 calls:

10.0ms
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
7.0ms
(*.f64 a (+.f64 b c))

series141.0ms (4.4%)

Counts
2 → 6
Calls

2 calls:

82.0ms
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
58.0ms
(*.f64 a (+.f64 b c))

simplify83.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
05010471

prune46.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New43043
Fresh011
Picked011
Done011
Total43346

Merged error: 0b

Counts
46 → 3
Compiler

Compiled 565 to 140 computations (75.2% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (+.f64 (+.f64 b c) d))
0.0b
(sqrt.f64 (+.f64 (+.f64 b c) d))
0.3b
(*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d)))
0.3b
(*.f64 (*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d))) (sqrt.f64 (+.f64 (+.f64 b c) d)))

rewrite102.0ms (3.2%)

Algorithm
1×rewrite-expression-head
Rules
31×*-un-lft-identity_binary64_1442
21×sqrt-prod_binary64_1458
18×sqrt-div_binary64_1459
17×add-sqr-sqrt_binary64_1464
16×associate-*r*_binary64_1382
13×pow1_binary64_1503
12×distribute-lft-out_binary64_1393
11×add-cbrt-cube_binary64_1478 add-exp-log_binary64_1480 add-cube-cbrt_binary64_1477
10×associate-*r/_binary64_1384
9×flip3-+_binary64_1445 flip-+_binary64_1416
4×cbrt-unprod_binary64_1475 associate-*l*_binary64_1383 pow-prod-down_binary64_1513 add-log-exp_binary64_1481 frac-times_binary64_1452 prod-exp_binary64_1491
2×sqrt-pow1_binary64_1460 rem-sqrt-square_binary64_1455 *-commutative_binary64_1373 pow1/2_binary64_1522 associate-*l/_binary64_1385 unswap-sqr_binary64_1410
Counts
4 → 91
Calls

4 calls:

37.0ms
(*.f64 (*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d))) (sqrt.f64 (+.f64 (+.f64 b c) d)))
23.0ms
(*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d)))
13.0ms
(sqrt.f64 (+.f64 (+.f64 b c) d))
13.0ms
(sqrt.f64 (+.f64 (+.f64 b c) d))

series584.0ms (18.4%)

Counts
4 → 12
Calls

4 calls:

237.0ms
(*.f64 (*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d))) (sqrt.f64 (+.f64 (+.f64 b c) d)))
182.0ms
(*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d)))
102.0ms
(sqrt.f64 (+.f64 (+.f64 b c) d))
63.0ms
(sqrt.f64 (+.f64 (+.f64 b c) d))

simplify121.0ms (3.8%)

Algorithm
1×egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
049691685
149691685

prune90.0ms (2.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1030103
Fresh000
Picked011
Done022
Total1033106

Merged error: 0b

Counts
106 → 3
Compiler

Compiled 2075 to 339 computations (83.7% saved)

regimes201.0ms (6.3%)

Compiler

Compiled 1305 to 894 computations (31.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01110
11110

end0.0ms (0%)

sample1.3s (41.3%)

Algorithm
1×intervals
Results
443.0ms8000×pre128true
281.0ms8000×body128valid
Compiler

Compiled 221 to 157 computations (29% saved)

Profiling

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