Details

Time bar (total: 5.6s)

analyze876.0ms (15.8%)

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
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)

sample60.0ms (1.1%)

Algorithm
intervals
Results
23.0ms312×body128nan
18.0ms256×body128valid
Compiler

Compiled 39 to 43 computations (-10.3% saved)

simplify195.0ms (3.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (101.0ms)

IterNodesCost
0539820

prune9.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
1.2b
Counts
2 → 1
Compiler

Compiled 32 to 32 computations (0% saved)

localize14.0ms (0.2%)

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))))
3.8b
(*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))
5.2b
(/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2))

rewrite50.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
96×add-exp-log_binary64_19212
92×add-cbrt-cube_binary64_19210
41×prod-exp_binary64_19223
39×cbrt-unprod_binary64_19207
31×add-sqr-sqrt_binary64_19196
28×div-exp_binary64_19225
27×cbrt-undiv_binary64_19208
21×associate-*l*_binary64_19115
19×*-un-lft-identity_binary64_19174
18×add-cube-cbrt_binary64_19209
16×associate-*r*_binary64_19114 times-frac_binary64_19180
10×pow1_binary64_19235
unswap-sqr_binary64_19142
sqrt-prod_binary64_19190 div-inv_binary64_19171 add-log-exp_binary64_19213
*-commutative_binary64_19105 pow-prod-down_binary64_19245
associate-*r/_binary64_19116 associate-*l/_binary64_19117
associate-/l/_binary64_19121 frac-2neg_binary64_19185 associate-/l*_binary64_19119 associate-/r*_binary64_19118 clear-num_binary64_19173 rec-exp_binary64_19224 1-exp_binary64_19218
Counts
4 → 133
Calls

4 calls:

13.0ms
(*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))
9.0ms
(/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2))
7.0ms
(*.f64 (/.f64 1 3) (acos.f64 (*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))))
7.0ms
(*.f64 3 (/.f64 x (*.f64 y 27)))

series157.0ms (2.8%)

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))
13.0ms
(*.f64 3 (/.f64 x (*.f64 y 27)))

simplify311.0ms (5.6%)

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
049312711
149312711

prune187.0ms (3.4%)

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)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z))
0.2b
(/.f64 x (*.f64 y 27))
3.8b
(*.f64 (*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)) (sqrt.f64 t))
5.2b
(/.f64 (/.f64 x (*.f64 y 27)) z)

rewrite57.0ms (1%)

Algorithm
rewrite-expression-head
Rules
67×times-frac_binary64_19180
52×add-cbrt-cube_binary64_19210 add-exp-log_binary64_19212
44×add-sqr-sqrt_binary64_19196
39×*-un-lft-identity_binary64_19174 add-cube-cbrt_binary64_19209
31×associate-*r*_binary64_19114
17×prod-exp_binary64_19223 cbrt-unprod_binary64_19207 div-exp_binary64_19225 cbrt-undiv_binary64_19208
11×pow1_binary64_19235
10×div-inv_binary64_19171 associate-/l*_binary64_19119
add-log-exp_binary64_19213 pow-prod-down_binary64_19245 associate-/r*_binary64_19118 associate-*l*_binary64_19115
sqrt-prod_binary64_19190
frac-2neg_binary64_19185 associate-*r/_binary64_19116 *-commutative_binary64_19105 clear-num_binary64_19173 unswap-sqr_binary64_19142
associate-/l/_binary64_19121 associate-*l/_binary64_19117
Counts
4 → 145
Calls

4 calls:

13.0ms
(*.f64 (*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)) (sqrt.f64 t))
12.0ms
(*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z))
7.0ms
(/.f64 (/.f64 x (*.f64 y 27)) z)
4.0ms
(/.f64 x (*.f64 y 27))

series141.0ms (2.5%)

Counts
4 → 12
Calls

4 calls:

83.0ms
(*.f64 (*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)) (sqrt.f64 t))
23.0ms
(/.f64 (/.f64 x (*.f64 y 27)) z)
22.0ms
(*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z))
13.0ms
(/.f64 x (*.f64 y 27))

simplify87.0ms (1.6%)

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049422305
149422305

prune278.0ms (5%)

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)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(*.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))))))
2.6b
(/.f64 x (*.f64 y z))
3.8b
(*.f64 (sqrt.f64 t) (*.f64 1/18 (/.f64 x (*.f64 y z))))

rewrite31.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
34×add-cbrt-cube_binary64_19210 add-exp-log_binary64_19212
17×add-sqr-sqrt_binary64_19196
14×prod-exp_binary64_19223 cbrt-unprod_binary64_19207
13×*-un-lft-identity_binary64_19174 pow1_binary64_19235 add-cube-cbrt_binary64_19209
12×associate-*l*_binary64_19115
11×associate-*r*_binary64_19114
div-exp_binary64_19225 times-frac_binary64_19180 cbrt-undiv_binary64_19208
pow-prod-down_binary64_19245
add-log-exp_binary64_19213
sqrt-prod_binary64_19190 associate-/l*_binary64_19119 associate-*r/_binary64_19116 *-commutative_binary64_19105
div-inv_binary64_19171 unswap-sqr_binary64_19142
frac-2neg_binary64_19185 associate-/r*_binary64_19118 clear-num_binary64_19173
Counts
4 → 92
Calls

4 calls:

10.0ms
(*.f64 (sqrt.f64 t) (*.f64 1/18 (/.f64 x (*.f64 y z))))
7.0ms
(*.f64 1/18 (/.f64 x (*.f64 y z)))
4.0ms
(/.f64 x (*.f64 y z))
3.0ms
(*.f64 1/3 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 1/18 (/.f64 x (*.f64 y z))))))

series153.0ms (2.8%)

Counts
4 → 12
Calls

4 calls:

76.0ms
(*.f64 (sqrt.f64 t) (*.f64 1/18 (/.f64 x (*.f64 y z))))
34.0ms
(*.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)))
21.0ms
(/.f64 x (*.f64 y z))

simplify75.0ms (1.3%)

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
050031589

prune87.0ms (1.6%)

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)

regimes519.0ms (9.3%)

Accuracy

Total 0.4b remaining (98.8%)

Threshold costs 0.4b (98.8%)

Compiler

Compiled 5795 to 5522 computations (4.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02638
12638

end0.0ms (0%)

sample2.2s (40.3%)

Algorithm
intervals
Results
668.0ms10271×body128nan
560.0ms8000×body128valid
Compiler

Compiled 494 to 473 computations (4.3% saved)

Profiling

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