Details

Time bar (total: 3.4s)

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)

simplify318.0ms (9.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (147.0ms)

IterNodesCost
0478328
1478328

prune9.0ms (0.3%)

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 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)

rewrite54.0ms (1.6%)

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:

13.0ms
(/.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))))
7.0ms
(*.f64 (*.f64 v v) 6)

series467.0ms (13.8%)

Counts
4 → 12
Calls

4 calls:

204.0ms
(/.f64 4/3 (*.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)))))
111.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
37.0ms
(*.f64 (*.f64 v v) 6)

simplify91.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049183300
149183300

prune170.0ms (5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1191120
Fresh011
Picked011
Done000
Total1193122

Merged error: 0b

Counts
122 → 3
Compiler

Compiled 3407 to 2301 computations (32.5% saved)

localize11.0ms (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 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
0.0b
(*.f64 4/3 (/.f64 1 (*.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)

rewrite66.0ms (2%)

Algorithm
1×rewrite-expression-head
Rules
48×add-exp-log_binary64_1480
30×add-cbrt-cube_binary64_1478
26×prod-exp_binary64_1491
25×associate-*r*_binary64_1382
23×associate-*r/_binary64_1384
20×add-sqr-sqrt_binary64_1464
18×flip3--_binary64_1446 sqrt-div_binary64_1459 flip--_binary64_1417 pow1_binary64_1503
14×cbrt-unprod_binary64_1475
13×*-un-lft-identity_binary64_1442
12×associate-*l*_binary64_1383 frac-times_binary64_1452 add-cube-cbrt_binary64_1477
8×associate-/r/_binary64_1388 pow-prod-down_binary64_1513
6×associate-*l/_binary64_1385 div-exp_binary64_1493
4×*-commutative_binary64_1373 add-log-exp_binary64_1481 sqrt-prod_binary64_1458 unswap-sqr_binary64_1410
3×cbrt-undiv_binary64_1476 times-frac_binary64_1448 1-exp_binary64_1486 rec-exp_binary64_1492
2×difference-of-squares_binary64_1411
1×div-inv_binary64_1439 un-div-inv_binary64_1440
Counts
4 → 121
Calls

4 calls:

22.0ms
(*.f64 4/3 (/.f64 1 (*.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))))
7.0ms
(*.f64 (*.f64 v v) 6)

series473.0ms (14%)

Counts
4 → 12
Calls

4 calls:

204.0ms
(*.f64 4/3 (/.f64 1 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))))
128.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
106.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
35.0ms
(*.f64 (*.f64 v v) 6)

simplify85.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049213553
149213553

prune199.0ms (5.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1330133
Fresh011
Picked011
Done011
Total1333136

Merged error: 0b

Counts
136 → 3
Compiler

Compiled 3900 to 2680 computations (31.3% saved)

localize11.0ms (0.3%)

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))))))

rewrite53.0ms (1.6%)

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:

17.0ms
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
15.0ms
(*.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))))

series450.0ms (13.3%)

Counts
4 → 12
Calls

4 calls:

204.0ms
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
152.0ms
(*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
58.0ms
(sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))
36.0ms
(*.f64 6 (*.f64 v v))

simplify90.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
048943071
148943071

prune156.0ms (4.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1110111
Fresh000
Picked011
Done022
Total1113114

Merged error: 0b

Counts
114 → 3
Compiler

Compiled 3138 to 2178 computations (30.6% saved)

regimes40.0ms (1.2%)

Compiler

Compiled 316 to 250 computations (20.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05428
15428

end0.0ms (0%)

sample600.0ms (17.8%)

Algorithm
1×intervals
Results
395.0ms8000×body128valid
0.0ms2×body128nan
Compiler

Compiled 97 to 78 computations (19.6% saved)

Profiling

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