Details

Time bar (total: 2.2s)

analyze454.0ms (20.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
12.5%71.8%15.7%8
25%56.2%18.9%9
31.2%43.7%25.1%10
39%34.7%26.3%11
44.9%27.9%27.3%12
47.8%22%30.2%13
52.6%16.8%30.7%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample15.0ms (0.7%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0ms16×body128invalid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify102.0ms (4.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
023113
123113

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))

rewrite5.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_5573
diff-log_binary64_5626 cancel-sign-sub-inv_binary64_5500 *-un-lft-identity_binary64_5534 add-cbrt-cube_binary64_5570 flip--_binary64_5509 add-exp-log_binary64_5572 add-sqr-sqrt_binary64_5556 flip3--_binary64_5538 add-cube-cbrt_binary64_5569 pow1_binary64_5595 sub-neg_binary64_5527
Counts
1 → 12
Calls

1 calls:

4.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))

series40.0ms (1.8%)

Counts
1 → 3
Calls

1 calls:

39.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))

simplify69.0ms (3.1%)

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04982267
14982267

prune12.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New14115
Fresh000
Picked011
Done000
Total14216
Error
0.0b
Counts
16 → 2
Compiler

Compiled 242 to 139 computations (42.6% saved)

localize15.0ms (0.7%)

Local error

Found 4 expressions with local error:

1.4b
(-.f64 (pow.f64 x 4) (*.f64 y (*.f64 (*.f64 y 16) (*.f64 z z))))
4.4b
(*.f64 y (*.f64 (*.f64 y 16) (*.f64 z z)))
9.4b
(*.f64 (*.f64 y 16) (*.f64 z z))
28.6b
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 y (*.f64 (*.f64 y 16) (*.f64 z z)))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)))

rewrite43.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
36×add-cbrt-cube_binary64_5570 add-exp-log_binary64_5572
34×pow1_binary64_5595
21×cbrt-unprod_binary64_5567 prod-exp_binary64_5583 pow-prod-down_binary64_5605
13×*-un-lft-identity_binary64_5534 add-sqr-sqrt_binary64_5556 add-cube-cbrt_binary64_5569
times-frac_binary64_5540
add-log-exp_binary64_5573
associate-*l*_binary64_5475
associate-/l*_binary64_5479 associate-/r*_binary64_5478
associate-/l/_binary64_5481 *-commutative_binary64_5465 flip--_binary64_5509 associate-*r*_binary64_5474 associate-/r/_binary64_5480 flip3--_binary64_5538
div-inv_binary64_5531 flip-+_binary64_5508 diff-log_binary64_5626 cancel-sign-sub-inv_binary64_5500 flip3-+_binary64_5537 div-exp_binary64_5585 frac-2neg_binary64_5545 clear-num_binary64_5533 div-sub_binary64_5539 sub-neg_binary64_5527 cbrt-undiv_binary64_5568
Counts
4 → 93
Calls

4 calls:

10.0ms
(*.f64 y (*.f64 (*.f64 y 16) (*.f64 z z)))
10.0ms
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 y (*.f64 (*.f64 y 16) (*.f64 z z)))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)))
7.0ms
(*.f64 (*.f64 y 16) (*.f64 z z))
6.0ms
(-.f64 (pow.f64 x 4) (*.f64 y (*.f64 (*.f64 y 16) (*.f64 z z))))

series189.0ms (8.5%)

Counts
4 → 12
Calls

4 calls:

81.0ms
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 y (*.f64 (*.f64 y 16) (*.f64 z z)))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)))
55.0ms
(-.f64 (pow.f64 x 4) (*.f64 y (*.f64 (*.f64 y 16) (*.f64 z z))))
27.0ms
(*.f64 (*.f64 y 16) (*.f64 z z))
26.0ms
(*.f64 y (*.f64 (*.f64 y 16) (*.f64 z z)))

simplify76.0ms (3.4%)

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
050312601

prune133.0ms (6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1041105
Fresh000
Picked101
Done011
Total1052107
Error
0.0b
Counts
107 → 2
Compiler

Compiled 3156 to 1780 computations (43.6% saved)

localize15.0ms (0.7%)

Local error

Found 3 expressions with local error:

1.4b
(-.f64 (pow.f64 x 4) (*.f64 (*.f64 y (*.f64 y 16)) (*.f64 z z)))
17.0b
(*.f64 (*.f64 y (*.f64 y 16)) (*.f64 z z))
28.6b
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 y (*.f64 y 16)) (*.f64 z z))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)))

rewrite35.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
26×add-cbrt-cube_binary64_5570 add-exp-log_binary64_5572
24×pow1_binary64_5595
15×cbrt-unprod_binary64_5567 prod-exp_binary64_5583 pow-prod-down_binary64_5605
11×*-un-lft-identity_binary64_5534 add-sqr-sqrt_binary64_5556 add-cube-cbrt_binary64_5569
times-frac_binary64_5540
add-log-exp_binary64_5573
associate-/l*_binary64_5479 associate-/r*_binary64_5478
associate-/l/_binary64_5481 flip--_binary64_5509 associate-/r/_binary64_5480 flip3--_binary64_5538
div-inv_binary64_5531 flip-+_binary64_5508 diff-log_binary64_5626 cancel-sign-sub-inv_binary64_5500 associate-*l*_binary64_5475 flip3-+_binary64_5537 div-exp_binary64_5585 *-commutative_binary64_5465 frac-2neg_binary64_5545 associate-*r*_binary64_5474 clear-num_binary64_5533 div-sub_binary64_5539 sub-neg_binary64_5527 cbrt-undiv_binary64_5568
Counts
3 → 72
Calls

3 calls:

12.0ms
(*.f64 (*.f64 y (*.f64 y 16)) (*.f64 z z))
10.0ms
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 y (*.f64 y 16)) (*.f64 z z))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)))
5.0ms
(-.f64 (pow.f64 x 4) (*.f64 (*.f64 y (*.f64 y 16)) (*.f64 z z)))

series163.0ms (7.4%)

Counts
3 → 9
Calls

3 calls:

79.0ms
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 y (*.f64 y 16)) (*.f64 z z))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)))
58.0ms
(-.f64 (pow.f64 x 4) (*.f64 (*.f64 y (*.f64 y 16)) (*.f64 z z)))
27.0ms
(*.f64 (*.f64 y (*.f64 y 16)) (*.f64 z z))

simplify69.0ms (3.1%)

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
050682316

prune105.0ms (4.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New81081
Fresh000
Picked011
Done011
Total81283
Error
0.0b
Counts
83 → 2
Compiler

Compiled 2494 to 1423 computations (42.9% saved)

regimes104.0ms (4.7%)

Accuracy

Total 0.0b remaining (3.5%)

Threshold costs 0.0b (3.5%)

Compiler

Compiled 998 to 750 computations (24.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05313
15313

end0.0ms (0%)

sample568.0ms (25.6%)

Algorithm
intervals
Results
229.0ms8000×body128valid
13.0ms479×body128invalid
Compiler

Compiled 155 to 118 computations (23.9% saved)

Profiling

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