Details

Time bar (total: 1.5s)

analyze5.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
12.5%25%62.5%4
18.7%12.5%68.8%5
21.9%6.2%71.9%6
23.4%3.1%73.5%7
24.2%1.6%74.2%8
24.6%0.8%74.6%9
24.8%0.4%74.8%10
24.9%0.2%74.9%11
24.9%0.1%75%12
25%0%75%13
25%0%75%14
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample19.0ms (1.3%)

Algorithm
intervals
Results
13.0ms256×body128valid
Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify282.0ms (19.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (110.0ms)

IterNodesCost
0557420

prune2.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0b

Counts
2 → 1
Compiler

Compiled 26 to 20 computations (23.1% saved)

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
0.0b
(sqrt.f64 (-.f64 1 (*.f64 x x)))
0.0b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.0b
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))

rewrite73.0ms (4.9%)

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity_binary64_1455
50×times-frac_binary64_1461
43×add-sqr-sqrt_binary64_1477
31×sqrt-prod_binary64_1471 add-cube-cbrt_binary64_1490
16×distribute-lft-out_binary64_1406
15×log-prod_binary64_1541
13×div-inv_binary64_1452
10×difference-of-squares_binary64_1424
associate-/l*_binary64_1400
add-exp-log_binary64_1493
distribute-rgt-out_binary64_1408 pow1_binary64_1516 add-log-exp_binary64_1494 add-cbrt-cube_binary64_1491
sqrt-div_binary64_1472
log-div_binary64_1542 associate-/r*_binary64_1399
flip-+_binary64_1429 associate-/l/_binary64_1402 flip--_binary64_1430 flip3-+_binary64_1458 distribute-rgt1-in_binary64_1411 frac-add_binary64_1463 flip3--_binary64_1459
sqrt-pow1_binary64_1473 rem-sqrt-square_binary64_1468 div-exp_binary64_1506 clear-num_binary64_1454 cbrt-undiv_binary64_1489 frac-2neg_binary64_1466 pow1/2_binary64_1535 sum-log_binary64_1546 +-commutative_binary64_1385 rem-log-exp_binary64_1496 log-pow_binary64_1544
Counts
4 → 117
Calls

4 calls:

27.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
24.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
7.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))

series289.0ms (19.6%)

Counts
4 → 12
Calls

4 calls:

101.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
87.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
55.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
47.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))

simplify78.0ms (5.3%)

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
050822710

prune133.0ms (9%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1290129
Fresh000
Picked011
Done000
Total1291130

Merged error: 0b

Counts
130 → 1
Compiler

Compiled 2567 to 1649 computations (35.8% saved)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02920
12920

end0.0ms (0%)

sample586.0ms (39.6%)

Algorithm
intervals
Results
421.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 40 to 32 computations (20% saved)

Profiling

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