Details

Time bar (total: 2.3s)

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)

sample32.0ms (1.4%)

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

Compiled 31 to 31 computations (0% saved)

simplify165.0ms (7.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04310
14310

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b
(*.f64 a (+.f64 (+.f64 b c) d))

rewrite15.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
8×*-un-lft-identity_binary64_1455
5×associate-*r*_binary64_1395 add-sqr-sqrt_binary64_1477
3×distribute-lft-out_binary64_1406 pow1_binary64_1516 add-cbrt-cube_binary64_1491 add-cube-cbrt_binary64_1490 associate-*l*_binary64_1396 add-exp-log_binary64_1493
2×associate-*r/_binary64_1397
1×prod-exp_binary64_1504 distribute-rgt-in_binary64_1405 flip-+_binary64_1429 add-log-exp_binary64_1494 *-commutative_binary64_1386 distribute-lft-in_binary64_1404 cbrt-unprod_binary64_1488 flip3-+_binary64_1458 pow-prod-down_binary64_1526 unswap-sqr_binary64_1423
Counts
1 → 24
Calls

1 calls:

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

series55.0ms (2.4%)

Counts
1 → 3
Calls

1 calls:

55.0ms
(*.f64 a (+.f64 (+.f64 b c) d))

simplify75.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
05242312

prune54.0ms (2.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New24327
Fresh000
Picked011
Done000
Total24428

Merged error: 0.0b

Counts
28 → 4
Compiler

Compiled 942 to 479 computations (49.2% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite16.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
6×add-sqr-sqrt_binary64_1477 *-un-lft-identity_binary64_1455
4×associate-*r*_binary64_1395 pow1_binary64_1516 add-log-exp_binary64_1494 add-cbrt-cube_binary64_1491 add-cube-cbrt_binary64_1490 add-exp-log_binary64_1493
3×associate-*l*_binary64_1396
2×distribute-lft-out_binary64_1406 associate-*r/_binary64_1397 distribute-rgt-in_binary64_1405 flip-+_binary64_1429 associate-+l+_binary64_1388 distribute-lft-in_binary64_1404 flip3-+_binary64_1458
1×prod-exp_binary64_1504 *-commutative_binary64_1386 cbrt-unprod_binary64_1488 sum-log_binary64_1546 +-commutative_binary64_1385 pow-prod-down_binary64_1526 unswap-sqr_binary64_1423
Counts
2 → 37
Calls

2 calls:

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

series118.0ms (5.2%)

Counts
2 → 6
Calls

2 calls:

70.0ms
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
49.0ms
(*.f64 a (+.f64 b c))

simplify67.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05010471

prune41.0ms (1.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New40343
Fresh022
Picked101
Done101
Total42547

Merged error: 0b

Counts
47 → 5
Compiler

Compiled 815 to 308 computations (62.2% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite13.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
6×add-sqr-sqrt_binary64_1477 *-un-lft-identity_binary64_1455
4×associate-*r*_binary64_1395 pow1_binary64_1516 add-log-exp_binary64_1494 add-cbrt-cube_binary64_1491 add-cube-cbrt_binary64_1490 add-exp-log_binary64_1493
3×associate-*l*_binary64_1396
2×associate-*r/_binary64_1397 distribute-rgt-in_binary64_1405 flip-+_binary64_1429 distribute-lft-in_binary64_1404 flip3-+_binary64_1458 associate-+r+_binary64_1387
1×prod-exp_binary64_1504 distribute-lft-out_binary64_1406 *-commutative_binary64_1386 cbrt-unprod_binary64_1488 sum-log_binary64_1546 +-commutative_binary64_1385 pow-prod-down_binary64_1526 unswap-sqr_binary64_1423
Counts
2 → 36
Calls

2 calls:

6.0ms
(*.f64 a (+.f64 c d))
5.0ms
(+.f64 (*.f64 b a) (*.f64 a (+.f64 c d)))

series113.0ms (4.9%)

Counts
2 → 6
Calls

2 calls:

62.0ms
(+.f64 (*.f64 b a) (*.f64 a (+.f64 c d)))
50.0ms
(*.f64 a (+.f64 c d))

simplify55.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05095464

prune31.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New42042
Fresh044
Picked011
Done000
Total42547

Merged error: 0b

Counts
47 → 5
Compiler

Compiled 692 to 230 computations (66.8% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b
(+.f64 (*.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (sqrt.f64 (*.f64 a (+.f64 b c)))) (*.f64 a d))
0.1b
(sqrt.f64 (*.f64 a (+.f64 b c)))
0.1b
(sqrt.f64 (*.f64 a (+.f64 b c)))
0.5b
(*.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (sqrt.f64 (*.f64 a (+.f64 b c))))

rewrite54.0ms (2.4%)

Algorithm
1×rewrite-expression-head
Rules
59×pow1_binary64_1516
32×sqrt-pow1_binary64_1473
22×pow-prod-down_binary64_1526
18×associate-*r/_binary64_1397
16×sqrt-div_binary64_1472
12×pow1/2_binary64_1535
10×add-sqr-sqrt_binary64_1477 pow-prod-up_binary64_1525
9×flip-+_binary64_1429 flip3-+_binary64_1458
8×add-cube-cbrt_binary64_1490 *-un-lft-identity_binary64_1455
6×sqrt-prod_binary64_1471 add-log-exp_binary64_1494 add-cbrt-cube_binary64_1491 pow-sqr_binary64_1428 add-exp-log_binary64_1493
4×associate-*r*_binary64_1395 swap-sqr_binary64_1422 frac-times_binary64_1465 associate-*l*_binary64_1396
2×associate-*l/_binary64_1398
1×prod-exp_binary64_1504 pow-plus_binary64_1518 *-commutative_binary64_1386 sqrt-unprod_binary64_1475 pow2_binary64_1536 cbrt-unprod_binary64_1488 sum-log_binary64_1546 rem-square-sqrt_binary64_1467 +-commutative_binary64_1385 unswap-sqr_binary64_1423
Counts
4 → 94
Calls

4 calls:

20.0ms
(+.f64 (*.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (sqrt.f64 (*.f64 a (+.f64 b c)))) (*.f64 a d))
15.0ms
(*.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (sqrt.f64 (*.f64 a (+.f64 b c))))
5.0ms
(sqrt.f64 (*.f64 a (+.f64 b c)))
5.0ms
(sqrt.f64 (*.f64 a (+.f64 b c)))

series278.0ms (12.2%)

Counts
4 → 12
Calls

4 calls:

80.0ms
(sqrt.f64 (*.f64 a (+.f64 b c)))
76.0ms
(sqrt.f64 (*.f64 a (+.f64 b c)))
69.0ms
(+.f64 (*.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (sqrt.f64 (*.f64 a (+.f64 b c)))) (*.f64 a d))
52.0ms
(*.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (sqrt.f64 (*.f64 a (+.f64 b c))))

simplify72.0ms (3.1%)

Algorithm
1×egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049571253
149571253

prune75.0ms (3.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh033
Picked011
Done011
Total1065111

Merged error: 0b

Counts
111 → 5
Compiler

Compiled 1953 to 481 computations (75.4% saved)

regimes87.0ms (3.8%)

Compiler

Compiled 532 to 392 computations (26.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
11313

end0.0ms (0%)

sample836.0ms (36.6%)

Algorithm
1×intervals
Results
318.0ms8000×pre128true
208.0ms8000×body128valid
Compiler

Compiled 115 to 88 computations (23.5% saved)

Profiling

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