Details

Time bar (total: 5.4s)

analyze1.0s (19.1%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05331140
044
144
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
0%99.8%0.2%8
3.1%71.7%25.1%9
4.7%69.8%25.5%10
7%66.9%26.1%11
10.9%61.5%27.6%12
11.1%47%41.9%13
12.8%44.4%42.8%14
Compiler

Compiled 20 to 20 computations (0% saved)

sample65.0ms (1.2%)

Algorithm
intervals
Results
20.0ms297×body128nan
18.0ms256×body128valid
Compiler

Compiled 39 to 43 computations (-10.3% saved)

simplify105.0ms (1.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (99.0ms)

IterNodesCost
0539820

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
1.0b
Counts
2 → 1
Compiler

Compiled 32 to 32 computations (0% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 3 (/.f64 x (*.f64 y 27)))
1.0b
(*.f64 (/.f64 1 3) (acos.f64 (*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))))
3.3b
(*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))
4.9b
(/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2))

rewrite58.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
96×add-exp-log_binary64_16143
92×add-cbrt-cube_binary64_16141
41×prod-exp_binary64_16154
39×cbrt-unprod_binary64_16138
31×add-sqr-sqrt_binary64_16127
28×div-exp_binary64_16156
27×cbrt-undiv_binary64_16139
21×associate-*l*_binary64_16046
19×*-un-lft-identity_binary64_16105
18×add-cube-cbrt_binary64_16140
16×times-frac_binary64_16111 associate-*r*_binary64_16045
10×pow1_binary64_16166
unswap-sqr_binary64_16073
sqrt-prod_binary64_16121 add-log-exp_binary64_16144 div-inv_binary64_16102
pow-prod-down_binary64_16176 *-commutative_binary64_16036
associate-*r/_binary64_16047 associate-*l/_binary64_16048
rec-exp_binary64_16155 associate-/l/_binary64_16052 1-exp_binary64_16149 associate-/r*_binary64_16049 frac-2neg_binary64_16116 associate-/l*_binary64_16050 clear-num_binary64_16104
Counts
4 → 133
Calls

4 calls:

14.0ms
(*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))
10.0ms
(/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2))
8.0ms
(*.f64 3 (/.f64 x (*.f64 y 27)))
8.0ms
(*.f64 (/.f64 1 3) (acos.f64 (*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))))

series159.0ms (2.9%)

Counts
4 → 12
Calls

4 calls:

89.0ms
(*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))
32.0ms
(*.f64 (/.f64 1 3) (acos.f64 (*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))))
24.0ms
(/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2))
14.0ms
(*.f64 3 (/.f64 x (*.f64 y 27)))

simplify107.0ms (2%)

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
049312711
149312711

prune190.0ms (3.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1432145
Fresh000
Picked101
Done000
Total1442146
Error
0b
Counts
146 → 2
Compiler

Compiled 3184 to 2292 computations (28% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(/.f64 x (*.f64 y 27))
0.2b
(*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z))
3.3b
(*.f64 (*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)) (sqrt.f64 t))
4.9b
(/.f64 (/.f64 x (*.f64 y 27)) z)

rewrite60.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
67×times-frac_binary64_16111
52×add-exp-log_binary64_16143 add-cbrt-cube_binary64_16141
44×add-sqr-sqrt_binary64_16127
39×*-un-lft-identity_binary64_16105 add-cube-cbrt_binary64_16140
31×associate-*r*_binary64_16045
17×cbrt-unprod_binary64_16138 div-exp_binary64_16156 cbrt-undiv_binary64_16139 prod-exp_binary64_16154
11×pow1_binary64_16166
10×div-inv_binary64_16102 associate-/l*_binary64_16050
add-log-exp_binary64_16144 pow-prod-down_binary64_16176 associate-/r*_binary64_16049 associate-*l*_binary64_16046
sqrt-prod_binary64_16121
associate-*r/_binary64_16047 unswap-sqr_binary64_16073 *-commutative_binary64_16036 frac-2neg_binary64_16116 clear-num_binary64_16104
associate-/l/_binary64_16052 associate-*l/_binary64_16048
Counts
4 → 145
Calls

4 calls:

18.0ms
(*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z))
14.0ms
(*.f64 (*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)) (sqrt.f64 t))
7.0ms
(/.f64 (/.f64 x (*.f64 y 27)) z)
5.0ms
(/.f64 x (*.f64 y 27))

series151.0ms (2.8%)

Counts
4 → 12
Calls

4 calls:

87.0ms
(*.f64 (*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)) (sqrt.f64 t))
28.0ms
(*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z))
23.0ms
(/.f64 (/.f64 x (*.f64 y 27)) z)
14.0ms
(/.f64 x (*.f64 y 27))

simplify85.0ms (1.6%)

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049422305
149422305

prune283.0ms (5.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1570157
Fresh011
Picked011
Done000
Total1572159
Error
0b
Counts
159 → 2
Compiler

Compiled 4661 to 3457 computations (25.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 1/18 (/.f64 x (*.f64 y z)))
1.0b
(*.f64 1/3 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 1/18 (/.f64 x (*.f64 y z))))))
3.3b
(*.f64 (sqrt.f64 t) (*.f64 1/18 (/.f64 x (*.f64 y z))))
4.8b
(/.f64 x (*.f64 y z))

rewrite33.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
34×add-exp-log_binary64_16143 add-cbrt-cube_binary64_16141
17×add-sqr-sqrt_binary64_16127
14×cbrt-unprod_binary64_16138 prod-exp_binary64_16154
13×*-un-lft-identity_binary64_16105 add-cube-cbrt_binary64_16140 pow1_binary64_16166
12×associate-*l*_binary64_16046
11×associate-*r*_binary64_16045
div-exp_binary64_16156 cbrt-undiv_binary64_16139 times-frac_binary64_16111
pow-prod-down_binary64_16176
add-log-exp_binary64_16144
sqrt-prod_binary64_16121 associate-*r/_binary64_16047 *-commutative_binary64_16036 associate-/l*_binary64_16050
div-inv_binary64_16102 unswap-sqr_binary64_16073
associate-/r*_binary64_16049 frac-2neg_binary64_16116 clear-num_binary64_16104
Counts
4 → 92
Calls

4 calls:

10.0ms
(*.f64 (sqrt.f64 t) (*.f64 1/18 (/.f64 x (*.f64 y z))))
8.0ms
(*.f64 1/18 (/.f64 x (*.f64 y z)))
5.0ms
(/.f64 x (*.f64 y z))
4.0ms
(*.f64 1/3 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 1/18 (/.f64 x (*.f64 y z))))))

series163.0ms (3%)

Counts
4 → 12
Calls

4 calls:

90.0ms
(*.f64 (sqrt.f64 t) (*.f64 1/18 (/.f64 x (*.f64 y z))))
32.0ms
(*.f64 1/3 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 1/18 (/.f64 x (*.f64 y z))))))
22.0ms
(*.f64 1/18 (/.f64 x (*.f64 y z)))
19.0ms
(/.f64 x (*.f64 y z))

simplify69.0ms (1.3%)

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
050031589

prune90.0ms (1.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1040104
Fresh000
Picked011
Done011
Total1042106
Error
0b
Counts
106 → 2
Compiler

Compiled 1830 to 934 computations (49% saved)

regimes413.0ms (7.6%)

Accuracy

Total 0.2b remaining (98.8%)

Threshold costs 0.2b (98.8%)

Compiler

Compiled 3923 to 3910 computations (0.3% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02638
12638
Compiler

Compiled 48 to 48 computations (0% saved)

end0.0ms (0%)

sample2.3s (42.4%)

Algorithm
intervals
Results
697.0ms10160×body128nan
592.0ms8000×body128valid
Compiler

Compiled 350 to 349 computations (0.3% saved)

Profiling

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