Details

Time bar (total: 2.0s)

analyze5.0ms (0.2%)

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)

sample17.0ms (0.9%)

Algorithm
1×intervals
Results
12.0ms256×body128valid
Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify280.0ms (14.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (184.0ms)

IterNodesCost
0484328
1484328

prune9.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0b

Counts
2 → 2
Compiler

Compiled 56 to 44 computations (21.4% saved)

localize10.0ms (0.5%)

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 PI.f64 (*.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))))))
0.2b
(*.f64 (*.f64 v v) 6)

rewrite49.0ms (2.5%)

Algorithm
1×rewrite-expression-head
Rules
25×add-cbrt-cube_binary64_1478 add-exp-log_binary64_1480
22×associate-*r/_binary64_1384
18×flip3--_binary64_1446 sqrt-div_binary64_1459 flip--_binary64_1417
17×add-sqr-sqrt_binary64_1464
16×pow1_binary64_1503
12×frac-times_binary64_1452 *-un-lft-identity_binary64_1442
11×add-cube-cbrt_binary64_1477
10×associate-*r*_binary64_1382 cbrt-unprod_binary64_1475 prod-exp_binary64_1491
9×associate-*l*_binary64_1383
8×associate-/r/_binary64_1388
7×pow-prod-down_binary64_1513
6×associate-*l/_binary64_1385
4×add-log-exp_binary64_1481 sqrt-prod_binary64_1458
3×cbrt-undiv_binary64_1476 times-frac_binary64_1448 associate-/l*_binary64_1387 *-commutative_binary64_1373 div-exp_binary64_1493 unswap-sqr_binary64_1410
2×difference-of-squares_binary64_1411
1×associate-/r*_binary64_1386 div-inv_binary64_1439 clear-num_binary64_1441 frac-2neg_binary64_1453
Counts
4 → 108
Calls

4 calls:

12.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
10.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
10.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
6.0ms
(*.f64 (*.f64 v v) 6)

series216.0ms (10.9%)

Counts
4 → 12
Calls

4 calls:

96.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
54.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
48.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
17.0ms
(*.f64 (*.f64 v v) 6)

simplify71.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
050013300

prune172.0ms (8.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1200120
Fresh011
Picked011
Done000
Total1202122

Merged error: 0b

Counts
122 → 2
Compiler

Compiled 3387 to 2285 computations (32.5% saved)

localize14.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

rewrite44.0ms (2.2%)

Algorithm
1×rewrite-expression-head
Rules
32×add-cbrt-cube_binary64_1478 add-exp-log_binary64_1480
19×pow1_binary64_1503
16×associate-*r/_binary64_1384
15×cbrt-unprod_binary64_1475 prod-exp_binary64_1491
14×sqrt-div_binary64_1459
13×flip3--_binary64_1446 flip--_binary64_1417
12×add-sqr-sqrt_binary64_1464
10×add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
9×pow-prod-down_binary64_1513
8×associate-/r/_binary64_1388 frac-times_binary64_1452
7×associate-*r*_binary64_1382
6×sqrt-prod_binary64_1458
4×cbrt-undiv_binary64_1476 associate-*l*_binary64_1383 add-log-exp_binary64_1481 associate-*l/_binary64_1385 div-exp_binary64_1493
3×times-frac_binary64_1448 associate-/l*_binary64_1387
2×*-commutative_binary64_1373
1×sqrt-pow1_binary64_1460 associate-/r*_binary64_1386 rem-sqrt-square_binary64_1455 div-inv_binary64_1439 clear-num_binary64_1441 frac-2neg_binary64_1453 pow1/2_binary64_1522 unswap-sqr_binary64_1410
Counts
4 → 99
Calls

4 calls:

13.0ms
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
12.0ms
(*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
6.0ms
(*.f64 6 (*.f64 v v))
3.0ms
(sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))

series206.0ms (10.4%)

Counts
4 → 12
Calls

4 calls:

94.0ms
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
67.0ms
(*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
28.0ms
(sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))
17.0ms
(*.f64 6 (*.f64 v v))

simplify84.0ms (4.2%)

Algorithm
1×egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049503074
149503074

prune150.0ms (7.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1110111
Fresh000
Picked011
Done011
Total1112113

Merged error: 0b

Counts
113 → 2
Compiler

Compiled 3140 to 2180 computations (30.6% saved)

regimes48.0ms (2.4%)

Compiler

Compiled 452 to 354 computations (21.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05328
15328

end0.0ms (0%)

sample600.0ms (30.4%)

Algorithm
1×intervals
Results
380.0ms8000×body128valid
0.0ms4×body128nan
Compiler

Compiled 131 to 104 computations (20.6% saved)

Profiling

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