Details

Time bar (total: 3.6s)

analyze65.0ms (1.8%)

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
25%74.9%0.1%5
37.5%62.4%0.1%6
50%37.5%12.6%7
56.2%31.2%12.6%8
62.4%18.7%18.8%9
65.6%15.6%18.8%10
68.7%9.4%22%11
70.2%7.8%22%12
71.8%4.7%23.5%13
72.6%3.9%23.5%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample12.0ms (0.3%)

Algorithm
intervals
Results
5.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify173.0ms (4.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0107
1107

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1
Compiler

Compiled 10 to 8 computations (20% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 (*.f64 x y) y)

rewrite12.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64_9059 add-exp-log_binary64_9061 pow1_binary64_9084
associate-*r*_binary64_8963 prod-exp_binary64_9072 pow-prod-down_binary64_9094 cbrt-unprod_binary64_9056
*-un-lft-identity_binary64_9023 add-cube-cbrt_binary64_9058 add-sqr-sqrt_binary64_9045
associate-*l*_binary64_8964 *-commutative_binary64_8954 add-log-exp_binary64_9062
Counts
1 → 18
Calls

1 calls:

11.0ms
(*.f64 (*.f64 x y) y)

series56.0ms (1.5%)

Counts
1 → 3
Calls

1 calls:

56.0ms
(*.f64 (*.f64 x y) y)

simplify75.0ms (2.1%)

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
04935177
14935177

prune41.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New15621
Fresh000
Picked011
Done000
Total15722

Merged error: 0.0b

Counts
22 → 7
Compiler

Compiled 506 to 238 computations (53% saved)

localize8.0ms (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)

rewrite17.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_9054
23×add-sqr-sqrt_binary64_9045
15×*-un-lft-identity_binary64_9023 add-cube-cbrt_binary64_9058
11×pow1_binary64_9084
pow1/3_binary64_9105
swap-sqr_binary64_8990 associate-*r*_binary64_8963 associate-*l*_binary64_8964 add-exp-log_binary64_9061
add-cbrt-cube_binary64_9059 add-log-exp_binary64_9062 unswap-sqr_binary64_8991
pow-sqr_binary64_8996 pow-prod-down_binary64_9094 pow-prod-up_binary64_9093
prod-exp_binary64_9072 *-commutative_binary64_8954 pow2_binary64_9104 pow-plus_binary64_9086 cbrt-unprod_binary64_9056
Counts
4 → 73
Calls

4 calls:

8.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series692.0ms (19.1%)

Counts
4 → 12
Calls

4 calls:

202.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
165.0ms
(cbrt.f64 y)
162.0ms
(cbrt.f64 y)
162.0ms
(cbrt.f64 y)

simplify67.0ms (1.9%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05245563

prune79.0ms (2.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh055
Picked011
Done011
Total84892

Merged error: 0.0b

Counts
92 → 8
Compiler

Compiled 1489 to 513 computations (65.5% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (cbrt.f64 (*.f64 y (*.f64 x y))) (cbrt.f64 (*.f64 y (*.f64 x y))))
17.9b
(cbrt.f64 (*.f64 y (*.f64 x y)))
17.9b
(cbrt.f64 (*.f64 y (*.f64 x y)))
17.9b
(cbrt.f64 (*.f64 y (*.f64 x y)))

rewrite26.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
11×pow1_binary64_9084
10×add-sqr-sqrt_binary64_9045
pow1/3_binary64_9105
*-un-lft-identity_binary64_9023 add-cube-cbrt_binary64_9058
cbrt-prod_binary64_9054
add-exp-log_binary64_9061
swap-sqr_binary64_8990 associate-*r*_binary64_8963 associate-*l*_binary64_8964 add-cbrt-cube_binary64_9059 add-log-exp_binary64_9062
pow-sqr_binary64_8996 pow-prod-down_binary64_9094 pow-prod-up_binary64_9093
prod-exp_binary64_9072 *-commutative_binary64_8954 pow2_binary64_9104 unswap-sqr_binary64_8991 pow-plus_binary64_9086 cbrt-unprod_binary64_9056
Counts
4 → 58
Calls

4 calls:

8.0ms
(*.f64 (cbrt.f64 (*.f64 y (*.f64 x y))) (cbrt.f64 (*.f64 y (*.f64 x y))))
4.0ms
(cbrt.f64 (*.f64 y (*.f64 x y)))
4.0ms
(cbrt.f64 (*.f64 y (*.f64 x y)))
4.0ms
(cbrt.f64 (*.f64 y (*.f64 x y)))

series633.0ms (17.4%)

Counts
4 → 12
Calls

4 calls:

172.0ms
(*.f64 (cbrt.f64 (*.f64 y (*.f64 x y))) (cbrt.f64 (*.f64 y (*.f64 x y))))
156.0ms
(cbrt.f64 (*.f64 y (*.f64 x y)))
152.0ms
(cbrt.f64 (*.f64 y (*.f64 x y)))
152.0ms
(cbrt.f64 (*.f64 y (*.f64 x y)))

simplify86.0ms (2.4%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
05008718

prune79.0ms (2.2%)

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 1757 to 477 computations (72.9% saved)

localize14.0ms (0.4%)

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)

rewrite14.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod_binary64_9054
11×*-un-lft-identity_binary64_9023 add-cube-cbrt_binary64_9058 add-sqr-sqrt_binary64_9045
unpow-prod-down_binary64_9102
add-exp-log_binary64_9061 pow1_binary64_9084
pow1/3_binary64_9105 add-cbrt-cube_binary64_9059 add-log-exp_binary64_9062
pow-unpow_binary64_9100
pow-pow_binary64_9095
pow-exp_binary64_9091 sqr-pow_binary64_8995 pow-to-exp_binary64_9092
Counts
4 → 57
Calls

4 calls:

5.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 y)) 4)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series742.0ms (20.4%)

Counts
4 → 12
Calls

4 calls:

284.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 y)) 4)
154.0ms
(cbrt.f64 y)
154.0ms
(cbrt.f64 y)
150.0ms
(cbrt.f64 y)

simplify115.0ms (3.2%)

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (101.0ms)

IterNodesCost
04908547
14908547

prune79.0ms (2.2%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New68169
Fresh055
Picked011
Done033
Total681078

Merged error: 0.0b

Counts
78 → 10
Compiler

Compiled 1672 to 641 computations (61.7% saved)

regimes63.0ms (1.7%)

Compiler

Compiled 416 to 262 computations (37% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

end0.0ms (0%)

sample463.0ms (12.8%)

Algorithm
intervals
Results
158.0ms8000×body128valid
3.0ms168×body128invalid
Compiler

Compiled 145 to 93 computations (35.9% saved)

Profiling

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