Details

Time bar (total: 4.4s)

analyze901.0ms

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

sample58.0ms

Algorithm
intervals
Results
23.0ms335×body80nan
17.0ms256×body80valid

simplify220.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (218.0ms)

IterNodesCost
0520719

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.2b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 3.0 (/.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))))
3.8b
(*.f64 (/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))
5.1b
(/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log_binary64 add-cbrt-cube_binary64
39×cbrt-unprod_binary64 prod-exp_binary64
29×add-sqr-sqrt_binary64
27×cbrt-undiv_binary64 div-exp_binary64
21×associate-*l*_binary64
18×*-un-lft-identity_binary64 add-cube-cbrt_binary64
16×associate-*r*_binary64
15×times-frac_binary64
10×pow1_binary64
5×unswap-sqr_binary64
4×add-log-exp_binary64 div-inv_binary64 sqrt-prod_binary64
3×pow-prod-down_binary64 *-commutative_binary64
2×associate-*r/_binary64 associate-*l/_binary64
1×associate-/l/_binary64 associate-/r*_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64
Counts
4 → 130
Calls
4 calls:
7.0ms
(*.f64 3.0 (/.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))))
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))

series46.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(*.f64 3.0 (/.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))))
24.0ms
(*.f64 (/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))
7.0ms
(/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
053172022

prune134.0ms

Filtered
80 candidates to 142 candidates (-77.5%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1402142
Fresh000
Picked101
Done000
Total1412143

Merged error: 0.0b

Counts
143 → 2

localize19.0ms

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))
3.8b
(*.f64 (/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))
5.1b
(/.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))
14.0ms
(*.f64 (/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))
12.0ms
(/.f64 (*.f64 3.0 (/.f64 x (*.f64 y 27.0))) (*.f64 z 2.0))

series55.0ms

Counts
4 → 10
Calls
4 calls:
24.0ms
(*.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))
24.0ms
(*.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
162 → 162
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
053062451

prune237.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1611162
Fresh011
Picked101
Done000
Total1622164

Merged error: 0b

Counts
164 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b
(*.f64 (acos.f64 (*.f64 (*.f64 0.05555555555555555 (/.f64 x (*.f64 y z))) (sqrt.f64 t))) (/.f64 1.0 (cbrt.f64 3.0)))
1.0b
(/.f64 1.0 (cbrt.f64 3.0))
3.8b
(*.f64 (*.f64 0.05555555555555555 (/.f64 x (*.f64 y z))) (sqrt.f64 t))
4.5b
(/.f64 x (*.f64 y z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt_binary64
41×times-frac_binary64
37×*-un-lft-identity_binary64 add-cube-cbrt_binary64
30×add-exp-log_binary64
28×associate-*r*_binary64 add-cbrt-cube_binary64
22×cbrt-prod_binary64
11×pow1_binary64 cbrt-unprod_binary64 prod-exp_binary64
7×associate-/r*_binary64
6×cbrt-undiv_binary64 associate-/l*_binary64 div-exp_binary64
4×pow-prod-down_binary64 add-log-exp_binary64 associate-*l*_binary64
3×unswap-sqr_binary64 div-inv_binary64 sqrt-prod_binary64
2×associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
1×associate-*l/_binary64
Counts
4 → 128
Calls
4 calls:
9.0ms
(*.f64 (acos.f64 (*.f64 (*.f64 0.05555555555555555 (/.f64 x (*.f64 y z))) (sqrt.f64 t))) (/.f64 1.0 (cbrt.f64 3.0)))
4.0ms
(/.f64 1.0 (cbrt.f64 3.0))
10.0ms
(*.f64 (*.f64 0.05555555555555555 (/.f64 x (*.f64 y z))) (sqrt.f64 t))
5.0ms
(/.f64 x (*.f64 y z))

series54.0ms

Counts
4 → 10
Calls
4 calls:
20.0ms
(*.f64 (acos.f64 (*.f64 (*.f64 0.05555555555555555 (/.f64 x (*.f64 y z))) (sqrt.f64 t))) (/.f64 1.0 (cbrt.f64 3.0)))
0.0ms
(/.f64 1.0 (cbrt.f64 3.0))
27.0ms
(*.f64 (*.f64 0.05555555555555555 (/.f64 x (*.f64 y z))) (sqrt.f64 t))
6.0ms
(/.f64 x (*.f64 y z))

simplify58.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049771668
149771668

prune182.0ms

Filtered
106 candidates to 138 candidates (-30.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1371138
Fresh101
Picked011
Done000
Total1382140

Merged error: 0b

Counts
140 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (/.f64 x (*.f64 y z)) 0.05555555555555555)
1.0b
(/.f64 (*.f64 1.0 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y z)) 0.05555555555555555) (sqrt.f64 t)))) 3.0)
3.8b
(*.f64 (*.f64 (/.f64 x (*.f64 y z)) 0.05555555555555555) (sqrt.f64 t))
4.5b
(/.f64 x (*.f64 y z))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log_binary64 add-cbrt-cube_binary64
15×add-sqr-sqrt_binary64
14×cbrt-unprod_binary64 prod-exp_binary64
13×*-un-lft-identity_binary64 add-cube-cbrt_binary64
11×pow1_binary64
9×associate-*r*_binary64 times-frac_binary64
8×cbrt-undiv_binary64 associate-*l*_binary64 div-exp_binary64
4×pow-prod-down_binary64 associate-/r*_binary64 add-log-exp_binary64 associate-/l*_binary64
3×div-inv_binary64 sqrt-prod_binary64 associate-*l/_binary64
2×clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
1×unswap-sqr_binary64
Counts
4 → 95
Calls
4 calls:
7.0ms
(*.f64 (/.f64 x (*.f64 y z)) 0.05555555555555555)
4.0ms
(/.f64 (*.f64 1.0 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y z)) 0.05555555555555555) (sqrt.f64 t)))) 3.0)
10.0ms
(*.f64 (*.f64 (/.f64 x (*.f64 y z)) 0.05555555555555555) (sqrt.f64 t))
5.0ms
(/.f64 x (*.f64 y z))

series47.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(*.f64 (/.f64 x (*.f64 y z)) 0.05555555555555555)
10.0ms
(/.f64 (*.f64 1.0 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y z)) 0.05555555555555555) (sqrt.f64 t)))) 3.0)
24.0ms
(*.f64 (*.f64 (/.f64 x (*.f64 y z)) 0.05555555555555555) (sqrt.f64 t))
6.0ms
(/.f64 x (*.f64 y z))

simplify65.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049951097
149951097

prune81.0ms

Filtered
67 candidates to 107 candidates (-59.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh000
Picked011
Done011
Total1072109

Merged error: 0b

Counts
109 → 2

regimes257.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02624
12624

end0.0ms

sample1.7s

Algorithm
intervals
Results
671.0ms10339×body80nan
551.0ms8000×body80valid

Profiling

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