Details

Time bar (total: 3.6s)

analyze5.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14
Compiler

Compiled 21 to 17 computations (19% saved)

sample18.0ms (0.5%)

Algorithm
1×intervals
Results
12.0ms256×body128valid
Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify403.0ms (11.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (232.0ms)

IterNodesCost
0477228
1477228

prune6.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2
Compiler

Compiled 56 to 44 computations (21.4% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
0.0b
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
0.0b
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
0.2b
(*.f64 (*.f64 v v) 6)

rewrite59.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Rules
25×add-cbrt-cube_binary64_1458 add-exp-log_binary64_1460
22×associate-*r/_binary64_1369
18×flip--_binary64_1400 sqrt-div_binary64_1441 flip3--_binary64_1429
17×add-sqr-sqrt_binary64_1446
16×pow1_binary64_1483
12×*-un-lft-identity_binary64_1425 frac-times_binary64_1435
11×add-cube-cbrt_binary64_1457
10×prod-exp_binary64_1471 cbrt-unprod_binary64_1455 associate-*r*_binary64_1367
9×associate-*l*_binary64_1368
8×associate-/r/_binary64_1373
7×pow-prod-down_binary64_1493
6×associate-*l/_binary64_1370
4×sqrt-prod_binary64_1440 add-log-exp_binary64_1461
3×times-frac_binary64_1431 unswap-sqr_binary64_1393 div-exp_binary64_1473 associate-/l*_binary64_1372 cbrt-undiv_binary64_1456 *-commutative_binary64_1358
2×difference-of-squares_binary64_1394
1×frac-2neg_binary64_1436 associate-/r*_binary64_1371 clear-num_binary64_1424 div-inv_binary64_1422
Counts
4 → 108
Calls

4 calls:

14.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
12.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
11.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
6.0ms
(*.f64 (*.f64 v v) 6)

series435.0ms (12.1%)

Counts
4 → 12
Calls

4 calls:

191.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
110.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
98.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
36.0ms
(*.f64 (*.f64 v v) 6)

simplify89.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049193300
149193300

prune178.0ms (4.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1182120
Fresh101
Picked101
Done000
Total1202122

Merged error: 0b

Counts
122 → 2
Compiler

Compiled 3424 to 2311 computations (32.5% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
0.0b
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
0.2b
(*.f64 (*.f64 v v) 6)
0.2b
(*.f64 (*.f64 v v) 6)

rewrite51.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
24×add-cbrt-cube_binary64_1458 pow1_binary64_1483 add-exp-log_binary64_1460
20×associate-*r/_binary64_1369
12×flip--_binary64_1400 prod-exp_binary64_1471 cbrt-unprod_binary64_1455 sqrt-div_binary64_1441 flip3--_binary64_1429 pow-prod-down_binary64_1493
10×add-sqr-sqrt_binary64_1446
8×add-cube-cbrt_binary64_1457 associate-*l*_binary64_1368 associate-*r*_binary64_1367 *-un-lft-identity_binary64_1425 frac-times_binary64_1435
4×associate-*l/_binary64_1370 add-log-exp_binary64_1461 *-commutative_binary64_1358
2×unswap-sqr_binary64_1393
Counts
4 → 90
Calls

4 calls:

12.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
12.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
7.0ms
(*.f64 (*.f64 v v) 6)
7.0ms
(*.f64 (*.f64 v v) 6)

series304.0ms (8.4%)

Counts
4 → 12
Calls

4 calls:

115.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
115.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
39.0ms
(*.f64 (*.f64 v v) 6)
35.0ms
(*.f64 (*.f64 v v) 6)

simplify74.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049252068
149252068

prune215.0ms (6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1020102
Fresh011
Picked011
Done000
Total1022104

Merged error: 0b

Counts
104 → 2
Compiler

Compiled 4568 to 2957 computations (35.3% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
0.2b
(*.f64 (*.f64 v v) 6)
1.0b
(log.f64 (/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))))
1.0b
(exp.f64 (log.f64 (/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))))

rewrite63.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Rules
30×associate-*r/_binary64_1369 log-prod_binary64_1508
24×add-exp-log_binary64_1460
18×flip--_binary64_1400 sqrt-div_binary64_1441 flip3--_binary64_1429
16×associate-/r/_binary64_1373 pow1_binary64_1483
15×exp-sum_binary64_1468
14×add-cbrt-cube_binary64_1458
12×add-sqr-sqrt_binary64_1446 frac-times_binary64_1435
11×add-cube-cbrt_binary64_1457 *-un-lft-identity_binary64_1425
9×prod-exp_binary64_1471
6×times-frac_binary64_1431 cbrt-unprod_binary64_1455 associate-*l/_binary64_1370 pow-prod-down_binary64_1493
4×associate-*l*_binary64_1368 associate-*r*_binary64_1367 exp-prod_binary64_1474 rem-log-exp_binary64_1463 add-log-exp_binary64_1461
3×div-exp_binary64_1473
2×div-inv_binary64_1422 log-pow_binary64_1511 log-div_binary64_1509 *-commutative_binary64_1358
1×unswap-sqr_binary64_1393 exp-diff_binary64_1470 rem-exp-log_binary64_1462
Counts
4 → 101
Calls

4 calls:

16.0ms
(log.f64 (/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))))
14.0ms
(exp.f64 (log.f64 (/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))))
13.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
7.0ms
(*.f64 (*.f64 v v) 6)

series796.0ms (22.1%)

Counts
4 → 12
Calls

4 calls:

372.0ms
(exp.f64 (log.f64 (/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))))
282.0ms
(log.f64 (/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))))
108.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
34.0ms
(*.f64 (*.f64 v v) 6)

simplify67.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
051143627

prune166.0ms (4.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh000
Picked011
Done011
Total1132115

Merged error: 0b

Counts
115 → 2
Compiler

Compiled 3403 to 2375 computations (30.2% saved)

regimes20.0ms (0.6%)

Compiler

Compiled 122 to 90 computations (26.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05659
15659

end0.0ms (0%)

sample609.0ms (16.9%)

Algorithm
1×intervals
Results
398.0ms8000×body128valid
0.0ms1×body128nan
Compiler

Compiled 115 to 86 computations (25.2% saved)

Profiling

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