Details

Time bar (total: 3.7s)

analyze276.0ms (7.5%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0484328
1484328
011
111
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)

sample21.0ms (0.6%)

Algorithm
1×intervals
Results
13.0ms256×body128valid
Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify189.0ms (5.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (184.0ms)

IterNodesCost
0484328
1484328

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 2
Compiler

Compiled 56 to 44 computations (21.4% 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)))))
0.0b
(*.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))))))
0.1b
(*.f64 (*.f64 v v) 6)

rewrite207.0ms (5.6%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
25×add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478
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×*-un-lft-identity_binary64_1442 frac-times_binary64_1452
11×add-cube-cbrt_binary64_1477
10×prod-exp_binary64_1491 cbrt-unprod_binary64_1475 associate-*r*_binary64_1382
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×unswap-sqr_binary64_1410 *-commutative_binary64_1373 div-exp_binary64_1493 cbrt-undiv_binary64_1476 times-frac_binary64_1448 associate-/l*_binary64_1387
2×difference-of-squares_binary64_1411
1×frac-2neg_binary64_1453 clear-num_binary64_1441 div-inv_binary64_1439 associate-/r*_binary64_1386
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))))))
11.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
9.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
6.0ms
(*.f64 (*.f64 v v) 6)
Compiler

Compiled 3487 to 2187 computations (37.3% saved)

series283.0ms (7.7%)

Error
0.0b
Counts
4 → 21
Calls

4 calls:

100.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
64.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
60.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
27.0ms
(*.f64 (*.f64 v v) 6)
Compiler

Compiled 1434 to 1240 computations (13.5% saved)

simplify83.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
050773412

prune177.0ms (4.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1281129
Fresh011
Picked011
Done000
Total1283131
Error
0b
Counts
131 → 3
Compiler

Compiled 3501 to 2363 computations (32.5% saved)

localize15.0ms (0.4%)

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)))))
0.1b
(*.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))))))

rewrite195.0ms (5.3%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
32×add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478
19×pow1_binary64_1503
16×associate-*r/_binary64_1384
15×prod-exp_binary64_1491 cbrt-unprod_binary64_1475
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×frac-times_binary64_1452 associate-/r/_binary64_1388
7×associate-*r*_binary64_1382
6×sqrt-prod_binary64_1458
4×div-exp_binary64_1493 add-log-exp_binary64_1481 cbrt-undiv_binary64_1476 associate-*l/_binary64_1385 associate-*l*_binary64_1383
3×times-frac_binary64_1448 associate-/l*_binary64_1387
2×*-commutative_binary64_1373
1×frac-2neg_binary64_1453 clear-num_binary64_1441 div-inv_binary64_1439 associate-/r*_binary64_1386 unswap-sqr_binary64_1410 pow1/2_binary64_1522 sqrt-pow1_binary64_1460 rem-sqrt-square_binary64_1455
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))))
Compiler

Compiled 3355 to 2220 computations (33.8% saved)

series287.0ms (7.8%)

Error
0b
Counts
4 → 21
Calls

4 calls:

106.0ms
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
86.0ms
(*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
37.0ms
(sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))
27.0ms
(*.f64 6 (*.f64 v v))
Compiler

Compiled 1491 to 1277 computations (14.4% saved)

simplify63.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
050693168

prune158.0ms (4.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1191120
Fresh101
Picked011
Done011
Total1203123
Error
0b
Counts
123 → 3
Compiler

Compiled 3263 to 2263 computations (30.6% saved)

localize12.0ms (0.3%)

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 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
0.1b
(*.f64 (*.f64 v v) 6)
1.0b
(/.f64 -4 (*.f64 -3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))))

rewrite211.0ms (5.7%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
30×add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478 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
13×prod-exp_binary64_1491 cbrt-unprod_binary64_1475
12×*-un-lft-identity_binary64_1442 frac-times_binary64_1452
11×add-cube-cbrt_binary64_1477
10×associate-*r*_binary64_1382
9×associate-*l*_binary64_1383
8×associate-/r/_binary64_1388
7×pow-prod-down_binary64_1513
6×associate-*l/_binary64_1385
4×div-exp_binary64_1493 add-log-exp_binary64_1481 cbrt-undiv_binary64_1476 sqrt-prod_binary64_1458
3×times-frac_binary64_1448 associate-/l*_binary64_1387 unswap-sqr_binary64_1410 *-commutative_binary64_1373
2×difference-of-squares_binary64_1411
1×frac-2neg_binary64_1453 clear-num_binary64_1441 div-inv_binary64_1439 associate-/r*_binary64_1386
Counts
4 → 110
Calls

4 calls:

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

Compiled 3814 to 2486 computations (34.8% saved)

series286.0ms (7.7%)

Error
0b
Counts
4 → 21
Calls

4 calls:

109.0ms
(/.f64 -4 (*.f64 -3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))))
64.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
53.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
27.0ms
(*.f64 (*.f64 v v) 6)
Compiler

Compiled 1508 to 1314 computations (12.9% saved)

simplify67.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
054443482

prune179.0ms (4.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1310131
Fresh000
Picked011
Done022
Total1313134
Error
0b
Counts
134 → 3
Compiler

Compiled 3695 to 2553 computations (30.9% saved)

regimes105.0ms (2.8%)

Accuracy

Total 0.0b remaining (96.5%)

Threshold costs 0.0b (96.5%)

Compiler

Compiled 1300 to 986 computations (24.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05328
15328

end0.0ms (0%)

sample853.0ms (23.1%)

Algorithm
1×intervals
Results
419.0ms8000×body128valid
0.0ms4×body128nan
Compiler

Compiled 308 to 232 computations (24.7% saved)

Profiling

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