Details

Time bar (total: 3.5s)

analyze184.0ms (5.2%)

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
25%74.9%0.1%6
34.3%40.6%25.1%7
35.9%39%25.1%8
42.1%32.8%25.1%9
42.9%19.5%37.6%10
43.3%19.1%37.6%11
45%17.5%37.6%12
45.1%10.3%44.6%13
45.2%10.2%44.6%14
Compiler

Compiled 11 to 11 computations (0% saved)

sample22.0ms (0.6%)

Algorithm
intervals
Results
11.0ms256×body128valid
1.0ms31×body128nan
1.0ms12×body128invalid
Compiler

Compiled 21 to 24 computations (-14.3% saved)

simplify177.0ms (5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
02912
12912

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1
Compiler

Compiled 16 to 16 computations (0% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 y (sqrt.f64 z)))
0.3b
(*.f64 y (sqrt.f64 z))

rewrite12.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_8186
associate-*r*_binary64_8107
*-un-lft-identity_binary64_8165 add-cube-cbrt_binary64_8197
add-cbrt-cube_binary64_8198 sqrt-prod_binary64_8180 pow1_binary64_8223 add-exp-log_binary64_8200 add-log-exp_binary64_8201
associate-*l*_binary64_8108
unswap-sqr_binary64_8133
flip3-+_binary64_8168 sum-log_binary64_8253 +-commutative_binary64_8097 pow-prod-down_binary64_8233 *-commutative_binary64_8098 flip-+_binary64_8139 prod-exp_binary64_8211 cbrt-unprod_binary64_8195
Counts
2 → 33
Calls

2 calls:

7.0ms
(*.f64 y (sqrt.f64 z))
3.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))

series139.0ms (3.9%)

Counts
2 → 6
Calls

2 calls:

74.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
64.0ms
(*.f64 y (sqrt.f64 z))

simplify81.0ms (2.3%)

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
05064474

prune48.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New32739
Fresh000
Picked011
Done000
Total32840

Merged error: 0.0b

Counts
40 → 8
Compiler

Compiled 629 to 298 computations (52.6% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(sqrt.f64 (sqrt.f64 z))
0.2b
(sqrt.f64 (sqrt.f64 z))
0.3b
(*.f64 y (sqrt.f64 (sqrt.f64 z)))
0.3b
(*.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

rewrite38.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod_binary64_8180
25×add-sqr-sqrt_binary64_8186
18×associate-*r*_binary64_8107
15×*-un-lft-identity_binary64_8165 pow1_binary64_8223 add-cube-cbrt_binary64_8197
11×add-cbrt-cube_binary64_8198 add-exp-log_binary64_8200
sqrt-pow1_binary64_8182
associate-*l*_binary64_8108 pow-prod-down_binary64_8233 rem-sqrt-square_binary64_8178 prod-exp_binary64_8211 cbrt-unprod_binary64_8195 pow1/2_binary64_8242 add-log-exp_binary64_8201
unswap-sqr_binary64_8133
*-commutative_binary64_8098
Counts
4 → 88
Calls

4 calls:

13.0ms
(*.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
12.0ms
(*.f64 y (sqrt.f64 (sqrt.f64 z)))
3.0ms
(sqrt.f64 (sqrt.f64 z))
3.0ms
(sqrt.f64 (sqrt.f64 z))

series376.0ms (10.6%)

Counts
4 → 12
Calls

4 calls:

119.0ms
(sqrt.f64 (sqrt.f64 z))
113.0ms
(sqrt.f64 (sqrt.f64 z))
78.0ms
(*.f64 y (sqrt.f64 (sqrt.f64 z)))
65.0ms
(*.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

simplify81.0ms (2.3%)

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049181032
149181032

prune112.0ms (3.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New955100
Fresh336
Picked101
Done011
Total999108

Merged error: 0.0b

Counts
108 → 9
Compiler

Compiled 1804 to 695 computations (61.5% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (*.f64 (*.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z))))
0.2b
(sqrt.f64 (sqrt.f64 z))
0.3b
(*.f64 y (pow.f64 z 1/4))
0.3b
(*.f64 (*.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))

rewrite31.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
19×sqrt-prod_binary64_8180 add-sqr-sqrt_binary64_8186 add-exp-log_binary64_8200
16×associate-*r*_binary64_8107
12×*-un-lft-identity_binary64_8165 add-cube-cbrt_binary64_8197
11×add-cbrt-cube_binary64_8198
10×prod-exp_binary64_8211
pow1_binary64_8223
add-log-exp_binary64_8201
associate-*l*_binary64_8108 sqrt-pow1_binary64_8182 cbrt-unprod_binary64_8195 unpow-prod-down_binary64_8241
unswap-sqr_binary64_8133
rem-sqrt-square_binary64_8178 *-commutative_binary64_8098 pow-to-exp_binary64_8231 sqr-pow_binary64_8137 pow-exp_binary64_8230 pow1/2_binary64_8242
flip3-+_binary64_8168 sum-log_binary64_8253 +-commutative_binary64_8097 pow-prod-down_binary64_8233 flip-+_binary64_8139
Counts
4 → 80
Calls

4 calls:

10.0ms
(*.f64 (*.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))
7.0ms
(*.f64 y (pow.f64 z 1/4))
4.0ms
(+.f64 x (*.f64 (*.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z))))
2.0ms
(sqrt.f64 (sqrt.f64 z))

series467.0ms (13.2%)

Counts
4 → 12
Calls

4 calls:

127.0ms
(*.f64 (*.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))
120.0ms
(+.f64 x (*.f64 (*.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z))))
115.0ms
(sqrt.f64 (sqrt.f64 z))
105.0ms
(*.f64 y (pow.f64 z 1/4))

simplify114.0ms (3.2%)

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
049081274
149081274

prune113.0ms (3.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New91192
Fresh077
Picked011
Done011
Total9110101

Merged error: 0b

Counts
101 → 10
Compiler

Compiled 1789 to 1041 computations (41.8% saved)

localize14.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (*.f64 (*.f64 y (pow.f64 z 1/4)) (pow.f64 z 1/4)))
0.3b
(*.f64 y (pow.f64 z 1/4))
0.3b
(*.f64 (*.f64 y (pow.f64 z 1/4)) (pow.f64 z 1/4))

rewrite31.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
34×add-exp-log_binary64_8200
24×prod-exp_binary64_8211
14×associate-*r*_binary64_8107
13×add-sqr-sqrt_binary64_8186
10×add-cbrt-cube_binary64_8198
*-un-lft-identity_binary64_8165 pow-to-exp_binary64_8231 add-cube-cbrt_binary64_8197 pow-exp_binary64_8230
unpow-prod-down_binary64_8241
add-log-exp_binary64_8201
associate-*l*_binary64_8108 cbrt-unprod_binary64_8195
pow1_binary64_8223 sqr-pow_binary64_8137 unswap-sqr_binary64_8133
*-commutative_binary64_8098
flip3-+_binary64_8168 sum-log_binary64_8253 +-commutative_binary64_8097 flip-+_binary64_8139
Counts
3 → 66
Calls

3 calls:

9.0ms
(*.f64 (*.f64 y (pow.f64 z 1/4)) (pow.f64 z 1/4))
7.0ms
(*.f64 y (pow.f64 z 1/4))
5.0ms
(+.f64 x (*.f64 (*.f64 y (pow.f64 z 1/4)) (pow.f64 z 1/4)))

series234.0ms (6.6%)

Counts
3 → 9
Calls

3 calls:

97.0ms
(*.f64 y (pow.f64 z 1/4))
71.0ms
(*.f64 (*.f64 y (pow.f64 z 1/4)) (pow.f64 z 1/4))
65.0ms
(+.f64 x (*.f64 (*.f64 y (pow.f64 z 1/4)) (pow.f64 z 1/4)))

simplify175.0ms (5%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (156.0ms)

IterNodesCost
04864843
14864843

prune71.0ms (2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New75075
Fresh077
Picked011
Done022
Total751085

Merged error: 0b

Counts
85 → 10
Compiler

Compiled 1138 to 662 computations (41.8% saved)

regimes148.0ms (4.2%)

Compiler

Compiled 1032 to 768 computations (25.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01212
11212

end0.0ms (0%)

sample826.0ms (23.4%)

Algorithm
intervals
Results
334.0ms8000×body128valid
40.0ms1062×body128nan
20.0ms412×body128invalid
Compiler

Compiled 186 to 142 computations (23.7% saved)

Profiling

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