Details

Time bar (total: 2.5s)

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 20 to 16 computations (20% saved)

sample25.0ms (1%)

Algorithm
1×intervals
Results
19.0ms256×body128valid
Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify173.0ms (7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
0503929

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 38 to 30 computations (21.1% saved)

localize11.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

rewrite35.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
17×add-cbrt-cube_binary64_1478 add-exp-log_binary64_1480
16×frac-times_binary64_1452
14×sqrt-div_binary64_1459 pow1_binary64_1503
13×flip3--_binary64_1446 flip--_binary64_1417
9×add-sqr-sqrt_binary64_1464
8×associate-*r/_binary64_1384 cbrt-unprod_binary64_1475 prod-exp_binary64_1491 associate-*l/_binary64_1385
7×*-un-lft-identity_binary64_1442
6×associate-*r*_binary64_1382 pow-prod-down_binary64_1513 add-cube-cbrt_binary64_1477
4×associate-*l*_binary64_1383
3×add-log-exp_binary64_1481 sqrt-prod_binary64_1458
2×cancel-sign-sub-inv_binary64_1408 sub-neg_binary64_1435 *-commutative_binary64_1373 distribute-lft-in_binary64_1391 distribute-rgt-in_binary64_1392 difference-of-squares_binary64_1411
1×sqrt-pow1_binary64_1460 cbrt-undiv_binary64_1476 rem-sqrt-square_binary64_1455 pow1/2_binary64_1522 div-exp_binary64_1493 unswap-sqr_binary64_1410
Counts
3 → 77
Calls

3 calls:

15.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
6.0ms
(*.f64 3 (*.f64 v v))
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))

series113.0ms (4.6%)

Counts
3 → 9
Calls

3 calls:

70.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
25.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
17.0ms
(*.f64 3 (*.f64 v v))

simplify83.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049012273
149012273

prune130.0ms (5.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New84286
Fresh000
Picked101
Done000
Total85287

Merged error: 0b

Counts
87 → 2
Compiler

Compiled 2362 to 1740 computations (26.3% saved)

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

rewrite57.0ms (2.3%)

Algorithm
1×rewrite-expression-head
Rules
35×add-cbrt-cube_binary64_1478 add-exp-log_binary64_1480
18×associate-*r/_binary64_1384
16×add-sqr-sqrt_binary64_1464
15×cbrt-unprod_binary64_1475 prod-exp_binary64_1491 pow1_binary64_1503
14×sqrt-div_binary64_1459
13×flip3--_binary64_1446 associate-*l*_binary64_1383 flip--_binary64_1417
12×*-un-lft-identity_binary64_1442
8×associate-/l/_binary64_1389 frac-times_binary64_1452
7×add-cube-cbrt_binary64_1477
6×cbrt-undiv_binary64_1476 pow-prod-down_binary64_1513 difference-of-squares_binary64_1411 div-exp_binary64_1493
4×add-log-exp_binary64_1481 associate-*l/_binary64_1385
3×sqrt-prod_binary64_1458
2×associate-*r*_binary64_1382 associate-/r/_binary64_1388 *-commutative_binary64_1373 sqr-pow_binary64_1414 unpow-prod-down_binary64_1521
1×sqrt-pow1_binary64_1460 associate-/r*_binary64_1386 rem-sqrt-square_binary64_1455 times-frac_binary64_1448 div-inv_binary64_1439 clear-num_binary64_1441 associate-/l*_binary64_1387 frac-2neg_binary64_1453 flip3-+_binary64_1445 flip-+_binary64_1416 pow1/2_binary64_1522 distribute-lft-out--_binary64_1394 unswap-sqr_binary64_1410
Counts
4 → 102
Calls

4 calls:

19.0ms
(/.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (*.f64 4 (+.f64 (*.f64 v v) 1)))
14.0ms
(*.f64 (-.f64 1 (pow.f64 v 4)) (*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))))
6.0ms
(*.f64 3 (*.f64 v v))
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))

series194.0ms (7.8%)

Counts
4 → 12
Calls

4 calls:

96.0ms
(/.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (*.f64 4 (+.f64 (*.f64 v v) 1)))
57.0ms
(*.f64 (-.f64 1 (pow.f64 v 4)) (*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))))
24.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
17.0ms
(*.f64 3 (*.f64 v v))

simplify91.0ms (3.7%)

Algorithm
1×egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049193177
149193177

prune195.0ms (7.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1140114
Fresh011
Picked011
Done000
Total1142116

Merged error: 0b

Counts
116 → 2
Compiler

Compiled 3783 to 2829 computations (25.2% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite34.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
25×associate-*l*_binary64_1383
20×add-cbrt-cube_binary64_1478 add-exp-log_binary64_1480 add-sqr-sqrt_binary64_1464
18×times-frac_binary64_1448 add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
16×frac-times_binary64_1452
14×sqrt-div_binary64_1459 pow1_binary64_1503
13×flip3--_binary64_1446 flip--_binary64_1417
12×associate-*r/_binary64_1384 sqrt-prod_binary64_1458
9×cbrt-unprod_binary64_1475 prod-exp_binary64_1491
8×distribute-lft-in_binary64_1391 distribute-rgt-in_binary64_1392
6×pow-prod-down_binary64_1513
5×associate-*l/_binary64_1385
4×cancel-sign-sub-inv_binary64_1408 sub-neg_binary64_1435
3×add-log-exp_binary64_1481
2×associate-*r*_binary64_1382 cbrt-undiv_binary64_1476 *-commutative_binary64_1373 div-exp_binary64_1493
1×sqrt-pow1_binary64_1460 rem-sqrt-square_binary64_1455 div-inv_binary64_1439 pow1/2_binary64_1522 unswap-sqr_binary64_1410
Counts
3 → 100
Calls

3 calls:

15.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))
6.0ms
(*.f64 3 (*.f64 v v))
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))

series120.0ms (4.9%)

Counts
3 → 9
Calls

3 calls:

74.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))
27.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
19.0ms
(*.f64 3 (*.f64 v v))

simplify57.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
054532980

prune159.0ms (6.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1090109
Fresh000
Picked011
Done011
Total1092111

Merged error: 0b

Counts
111 → 2
Compiler

Compiled 3000 to 2222 computations (25.9% saved)

regimes92.0ms (3.7%)

Compiler

Compiled 1041 to 851 computations (18.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04658
14658

end0.0ms (0%)

sample874.0ms (35.2%)

Algorithm
1×intervals
Results
408.0ms8000×body128valid
0.0ms2×body128nan
Compiler

Compiled 342 to 282 computations (17.5% saved)

Profiling

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