Details

Time bar (total: 4.8s)

analyze871.0ms

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

sample60.0ms

Algorithm
intervals
Results
21.0ms344×body80nan
16.0ms256×body80valid

simplify226.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (223.0ms)

IterNodesCost
0520719

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.1b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(/.f64 x (*.f64 y 27.0))
1.0b
(*.f64 (/.f64 1.0 3.0) (acos.f64 (*.f64 (/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))))
3.6b
(*.f64 (/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))
4.3b
(/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
88×add-exp-log_binary64 add-cbrt-cube_binary64
36×cbrt-unprod_binary64 prod-exp_binary64
27×cbrt-undiv_binary64 div-exp_binary64
26×add-sqr-sqrt_binary64
18×associate-*l*_binary64
17×*-un-lft-identity_binary64 add-cube-cbrt_binary64
15×times-frac_binary64
9×associate-*r*_binary64
8×pow1_binary64
4×add-log-exp_binary64 unswap-sqr_binary64 associate-/l*_binary64 div-inv_binary64 sqrt-prod_binary64
2×pow-prod-down_binary64 associate-/r*_binary64 clear-num_binary64 frac-2neg_binary64 associate-*l/_binary64 *-commutative_binary64
1×associate-/l/_binary64 associate-*r/_binary64
Counts
4 → 124
Calls
4 calls:
5.0ms
(/.f64 x (*.f64 y 27.0))
6.0ms
(*.f64 (/.f64 1.0 3.0) (acos.f64 (*.f64 (/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))))
13.0ms
(*.f64 (/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))
10.0ms
(/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0))

series48.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/.f64 x (*.f64 y 27.0))
11.0ms
(*.f64 (/.f64 1.0 3.0) (acos.f64 (*.f64 (/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))))
25.0ms
(*.f64 (/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))
8.0ms
(/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
049961946
149961946

prune136.0ms

Filtered
78 candidates to 136 candidates (-74.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1333136
Fresh000
Picked101
Done000
Total1343137

Merged error: 0b

Counts
137 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))) (/.f64 1.0 (cbrt.f64 3.0)))
1.0b
(/.f64 1.0 (cbrt.f64 3.0))
3.6b
(*.f64 (/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))
4.3b
(/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log_binary64
83×add-cbrt-cube_binary64
48×add-sqr-sqrt_binary64
40×times-frac_binary64
36×*-un-lft-identity_binary64 add-cube-cbrt_binary64
35×cbrt-unprod_binary64 prod-exp_binary64
28×associate-*r*_binary64
26×cbrt-undiv_binary64 div-exp_binary64
22×cbrt-prod_binary64
8×pow1_binary64 associate-*l*_binary64
7×associate-/r*_binary64
5×unswap-sqr_binary64
4×add-log-exp_binary64 associate-/l*_binary64 div-inv_binary64 sqrt-prod_binary64
2×pow-prod-down_binary64 associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
1×associate-/l/_binary64 associate-*l/_binary64
Counts
4 → 152
Calls
4 calls:
9.0ms
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))) (/.f64 1.0 (cbrt.f64 3.0)))
4.0ms
(/.f64 1.0 (cbrt.f64 3.0))
16.0ms
(*.f64 (/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))
10.0ms
(/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0))

series55.0ms

Counts
4 → 10
Calls
4 calls:
21.0ms
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))) (/.f64 1.0 (cbrt.f64 3.0)))
0.0ms
(/.f64 1.0 (cbrt.f64 3.0))
26.0ms
(*.f64 (/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))
8.0ms
(/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0))

simplify200.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
053062451

prune231.0ms

Filtered
109 candidates to 162 candidates (-48.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1620162
Fresh022
Picked011
Done000
Total1623165

Merged error: 0b

Counts
165 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

3.6b
(*.f64 (/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))
3.6b
(*.f64 (/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))
4.3b
(/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0))
4.3b
(/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
152×add-exp-log_binary64 add-cbrt-cube_binary64
66×cbrt-unprod_binary64 prod-exp_binary64
48×cbrt-undiv_binary64 div-exp_binary64
18×add-sqr-sqrt_binary64
12×associate-*r*_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 associate-*l*_binary64
8×pow1_binary64 sqrt-prod_binary64
4×add-log-exp_binary64 unswap-sqr_binary64 times-frac_binary64 div-inv_binary64
2×pow-prod-down_binary64 associate-/l/_binary64 associate-/r*_binary64 associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 142
Calls
4 calls:
16.0ms
(*.f64 (/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))
14.0ms
(*.f64 (/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))
10.0ms
(/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0))
10.0ms
(/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0))

series68.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(*.f64 (/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))
25.0ms
(*.f64 (/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))
8.0ms
(/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0))
8.0ms
(/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
051252140

prune160.0ms

Filtered
70 candidates to 154 candidates (-120.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1540154
Fresh011
Picked011
Done011
Total1543157

Merged error: 0b

Counts
157 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 0.3333333333333333 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 0.05555555555555555 (/.f64 x (*.f64 y z))))))
0.2b
(*.f64 0.05555555555555555 (/.f64 x (*.f64 y z)))
3.7b
(*.f64 (sqrt.f64 t) (*.f64 0.05555555555555555 (/.f64 x (*.f64 y z))))
5.2b
(/.f64 x (*.f64 y z))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log_binary64 add-cbrt-cube_binary64
17×add-sqr-sqrt_binary64
14×cbrt-unprod_binary64 prod-exp_binary64
13×*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64
12×associate-*l*_binary64
11×associate-*r*_binary64
6×cbrt-undiv_binary64 times-frac_binary64 div-exp_binary64
5×pow-prod-down_binary64
4×add-log-exp_binary64
3×associate-*r/_binary64 associate-/l*_binary64 sqrt-prod_binary64 *-commutative_binary64
2×unswap-sqr_binary64 div-inv_binary64
1×associate-/r*_binary64 clear-num_binary64 frac-2neg_binary64
Counts
4 → 92
Calls
4 calls:
4.0ms
(*.f64 0.3333333333333333 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 0.05555555555555555 (/.f64 x (*.f64 y z))))))
7.0ms
(*.f64 0.05555555555555555 (/.f64 x (*.f64 y z)))
10.0ms
(*.f64 (sqrt.f64 t) (*.f64 0.05555555555555555 (/.f64 x (*.f64 y z))))
5.0ms
(/.f64 x (*.f64 y z))

series56.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(*.f64 0.3333333333333333 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 0.05555555555555555 (/.f64 x (*.f64 y z))))))
7.0ms
(*.f64 0.05555555555555555 (/.f64 x (*.f64 y z)))
33.0ms
(*.f64 (sqrt.f64 t) (*.f64 0.05555555555555555 (/.f64 x (*.f64 y z))))
6.0ms
(/.f64 x (*.f64 y z))

simplify65.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049881053
149881053

prune75.0ms

Filtered
70 candidates to 104 candidates (-48.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1040104
Fresh000
Picked011
Done022
Total1043107

Merged error: 0b

Counts
107 → 3

regimes609.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03028
13028

end0.0ms

sample1.6s

Algorithm
intervals
Results
637.0ms10152×body80nan
523.0ms8000×body80valid

Profiling

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