Details

Time bar (total: 4.7s)

analyze565.0ms (12%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
3.1%96.7%0.2%8
7.8%92%0.2%9
11.7%88.1%0.2%10
24.2%64.7%11.1%11
27.9%59.8%12.3%12
35%52.5%12.5%13
38.6%48.2%13.2%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample19.0ms (0.4%)

Algorithm
intervals
Results
7.0ms256×body128valid
2.0ms59×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify163.0ms (3.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03013
13013

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x y) z)
0.0b
(+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) t)
0.1b
(*.f64 (+.f64 (*.f64 x y) z) y)

rewrite24.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_5490 add-log-exp_binary64_5505
add-exp-log_binary64_5504 add-cbrt-cube_binary64_5502 add-cube-cbrt_binary64_5501 pow1_binary64_5527 *-un-lft-identity_binary64_5469
flip-+_binary64_5443 associate-*r*_binary64_5411 associate-*l*_binary64_5412 flip3-+_binary64_5472
+-commutative_binary64_5401 sum-log_binary64_5557 associate-*l/_binary64_5414
pow-prod-down_binary64_5537 cbrt-unprod_binary64_5499 unswap-sqr_binary64_5437 *-commutative_binary64_5402 prod-exp_binary64_5515
Counts
3 → 42
Calls

3 calls:

8.0ms
(+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) t)
7.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)
5.0ms
(+.f64 (*.f64 x y) z)

series224.0ms (4.8%)

Counts
3 → 9
Calls

3 calls:

122.0ms
(+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) t)
64.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)
37.0ms
(+.f64 (*.f64 x y) z)

simplify55.0ms (1.2%)

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05040719

prune47.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New45651
Fresh000
Picked011
Done000
Total45752

Merged error: 0.0b

Counts
52 → 7
Compiler

Compiled 887 to 230 computations (74.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)

rewrite16.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_5497
23×add-sqr-sqrt_binary64_5490
15×add-cube-cbrt_binary64_5501 *-un-lft-identity_binary64_5469
11×pow1_binary64_5527
pow1/3_binary64_5548
swap-sqr_binary64_5436 associate-*r*_binary64_5411 add-exp-log_binary64_5504 associate-*l*_binary64_5412
add-cbrt-cube_binary64_5502 unswap-sqr_binary64_5437 add-log-exp_binary64_5505
pow-prod-down_binary64_5537 pow-prod-up_binary64_5536 pow-sqr_binary64_5442
pow2_binary64_5547 cbrt-unprod_binary64_5499 pow-plus_binary64_5529 *-commutative_binary64_5402 prod-exp_binary64_5515
Counts
4 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series618.0ms (13.1%)

Counts
4 → 12
Calls

4 calls:

169.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
153.0ms
(cbrt.f64 y)
148.0ms
(cbrt.f64 y)
148.0ms
(cbrt.f64 y)

simplify69.0ms (1.5%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04957563
14957563

prune76.0ms (1.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New82385
Fresh145
Picked011
Done011
Total83992

Merged error: 0.0b

Counts
92 → 9
Compiler

Compiled 1749 to 538 computations (69.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
0.6b
(cbrt.f64 (+.f64 (*.f64 x y) z))
0.6b
(cbrt.f64 (+.f64 (*.f64 x y) z))
0.6b
(cbrt.f64 (+.f64 (*.f64 x y) z))

rewrite39.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_5497
23×add-sqr-sqrt_binary64_5490
18×cbrt-div_binary64_5498
15×add-cube-cbrt_binary64_5501 *-un-lft-identity_binary64_5469
11×pow1_binary64_5527
flip-+_binary64_5443 pow1/3_binary64_5548 flip3-+_binary64_5472
swap-sqr_binary64_5436 associate-*r*_binary64_5411 add-exp-log_binary64_5504 associate-*l*_binary64_5412
frac-times_binary64_5479 add-cbrt-cube_binary64_5502 unswap-sqr_binary64_5437 add-log-exp_binary64_5505
pow-prod-down_binary64_5537 associate-*l/_binary64_5414 pow-prod-up_binary64_5536 pow-sqr_binary64_5442 associate-*r/_binary64_5413
pow2_binary64_5547 cbrt-unprod_binary64_5499 pow-plus_binary64_5529 *-commutative_binary64_5402 prod-exp_binary64_5515
Counts
4 → 87
Calls

4 calls:

16.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
4.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
4.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
4.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))

series828.0ms (17.6%)

Counts
4 → 12
Calls

4 calls:

262.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
196.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
192.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
179.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))

simplify61.0ms (1.3%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
052021777

prune101.0ms (2.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New98199
Fresh156
Picked011
Done022
Total999108

Merged error: 0.0b

Counts
108 → 9
Compiler

Compiled 3067 to 701 computations (77.1% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.9b
(pow.f64 (cbrt.f64 (cbrt.f64 y)) 4)

rewrite13.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod_binary64_5497
11×add-cube-cbrt_binary64_5501 *-un-lft-identity_binary64_5469 add-sqr-sqrt_binary64_5490
unpow-prod-down_binary64_5545
add-exp-log_binary64_5504 pow1_binary64_5527
pow1/3_binary64_5548 add-cbrt-cube_binary64_5502 add-log-exp_binary64_5505
pow-unpow_binary64_5543
pow-pow_binary64_5538
sqr-pow_binary64_5441 pow-to-exp_binary64_5535 pow-exp_binary64_5534
Counts
4 → 57
Calls

4 calls:

4.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 y)) 4)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series740.0ms (15.7%)

Counts
4 → 12
Calls

4 calls:

265.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 y)) 4)
161.0ms
(cbrt.f64 y)
157.0ms
(cbrt.f64 y)
156.0ms
(cbrt.f64 y)

simplify81.0ms (1.7%)

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04792547
14792547

prune73.0ms (1.6%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New69069
Fresh055
Picked011
Done033
Total69978

Merged error: 0.0b

Counts
78 → 9
Compiler

Compiled 1883 to 626 computations (66.8% saved)

regimes120.0ms (2.5%)

Compiler

Compiled 1090 to 728 computations (33.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
11313

end0.0ms (0%)

sample718.0ms (15.3%)

Algorithm
intervals
Results
239.0ms8000×body128valid
57.0ms1842×body128invalid
Compiler

Compiled 194 to 132 computations (32% saved)

Profiling

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