Details

Time bar (total: 3.9s)

analyze274.0ms (7.1%)

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
18.7%81.1%0.1%7
21.8%78%0.1%8
32.8%67.1%0.1%9
43.7%43.7%12.6%10
46.8%40.6%12.6%11
52.7%34.7%12.6%12
58.5%22.6%18.9%13
60.5%20.7%18.9%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (0.4%)

Algorithm
intervals
Results
7.0ms256×body128valid
1.0ms20×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01310
11310

prune2.0ms (0%)

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 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (*.f64 y z) z))
0.2b
(*.f64 (*.f64 y z) z)

rewrite11.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64
pow-prod-down_binary64 *-un-lft-identity_binary64 cbrt-unprod_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 prod-exp_binary64 add-sqr-sqrt_binary64
flip3-+_binary64 associate-*l*_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 29
Calls

2 calls:

5.0ms
(*.f64 (*.f64 y z) z)
4.0ms
(+.f64 x (*.f64 (*.f64 y z) z))

series136.0ms (3.5%)

Counts
2 → 6
Calls

2 calls:

91.0ms
(+.f64 x (*.f64 (*.f64 y z) z))
45.0ms
(*.f64 (*.f64 y z) z)

simplify95.0ms (2.5%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
04776376
14776376

prune46.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New30535
Fresh000
Picked011
Done000
Total30636

Merged error: 0.0b

Counts
36 → 6
Compiler

Compiled 781 to 338 computations (56.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite16.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
11×pow1_binary64
pow1/3_binary64
swap-sqr_binary64 associate-*r*_binary64 add-exp-log_binary64 associate-*l*_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 73
Calls

4 calls:

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

series620.0ms (16.1%)

Counts
4 → 12
Calls

4 calls:

170.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
151.0ms
(cbrt.f64 z)
150.0ms
(cbrt.f64 z)
149.0ms
(cbrt.f64 z)

simplify52.0ms (1.3%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05244563

prune85.0ms (2.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New83285
Fresh044
Picked011
Done011
Total83891

Merged error: 0.0b

Counts
91 → 8
Compiler

Compiled 1787 to 681 computations (61.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (cbrt.f64 (*.f64 z (*.f64 y z))) (cbrt.f64 (*.f64 z (*.f64 y z))))
22.4b
(cbrt.f64 (*.f64 z (*.f64 y z)))
22.4b
(cbrt.f64 (*.f64 z (*.f64 y z)))
22.4b
(cbrt.f64 (*.f64 z (*.f64 y z)))

rewrite26.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
11×pow1_binary64
10×add-sqr-sqrt_binary64
pow1/3_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
cbrt-prod_binary64
add-exp-log_binary64
add-log-exp_binary64 swap-sqr_binary64 associate-*r*_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
cbrt-unprod_binary64 pow-plus_binary64 unswap-sqr_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 58
Calls

4 calls:

9.0ms
(*.f64 (cbrt.f64 (*.f64 z (*.f64 y z))) (cbrt.f64 (*.f64 z (*.f64 y z))))
4.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
4.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
4.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))

series563.0ms (14.6%)

Counts
4 → 12
Calls

4 calls:

162.0ms
(*.f64 (cbrt.f64 (*.f64 z (*.f64 y z))) (cbrt.f64 (*.f64 z (*.f64 y z))))
138.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
135.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))
129.0ms
(cbrt.f64 (*.f64 z (*.f64 y z)))

simplify67.0ms (1.7%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05068718

prune79.0ms (2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New69170
Fresh055
Picked011
Done022
Total69978

Merged error: 0.0b

Counts
78 → 9
Compiler

Compiled 1954 to 591 computations (69.8% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 (cbrt.f64 z))
0.7b
(cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
0.9b
(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)

rewrite17.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod_binary64
11×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
unpow-prod-down_binary64
pow1_binary64 add-exp-log_binary64
add-log-exp_binary64 pow1/3_binary64 add-cbrt-cube_binary64
pow-unpow_binary64
pow-pow_binary64
pow-to-exp_binary64 sqr-pow_binary64 pow-exp_binary64
Counts
4 → 58
Calls

4 calls:

4.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)
4.0ms
(cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
2.0ms
(cbrt.f64 (cbrt.f64 z))
1.0ms
(cbrt.f64 z)

series861.0ms (22.3%)

Counts
4 → 12
Calls

4 calls:

259.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)
221.0ms
(cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
207.0ms
(cbrt.f64 (cbrt.f64 z))
175.0ms
(cbrt.f64 z)

simplify73.0ms (1.9%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04813625
14813625

prune80.0ms (2.1%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New69170
Fresh055
Picked011
Done033
Total691079

Merged error: 0.0b

Counts
79 → 10
Compiler

Compiled 1852 to 746 computations (59.7% saved)

regimes104.0ms (2.7%)

Compiler

Compiled 835 to 560 computations (32.9% saved)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
11010

end0.0ms (0%)

sample589.0ms (15.2%)

Algorithm
intervals
Results
218.0ms8000×body128valid
18.0ms695×body128invalid
Compiler

Compiled 176 to 120 computations (31.8% saved)

Profiling

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