Details

Time bar (total: 6.0s)

sample115.0ms

Algorithm
intervals
Results
50.0ms784×body80nan
16.0ms256×body80valid

simplify193.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (191.0ms)

IterNodesCost
0520719

prune13.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
2.7b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.1b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
88×add-exp-log add-cbrt-cube
36×prod-exp cbrt-unprod
27×cbrt-undiv div-exp
26×add-sqr-sqrt
18×associate-*l*
17×add-cube-cbrt *-un-lft-identity
15×times-frac
9×associate-*r*
8×pow1
4×sqrt-prod div-inv associate-/l* add-log-exp unswap-sqr
2×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 124
Calls
4 calls:
5.0ms
(/ x (* y 27.0))
6.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
13.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series36.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ x (* y 27.0))
8.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
18.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
050211946

prune170.0ms

Filtered
82 candidates to 136 candidates (-65.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1351136
Fresh011
Picked011
Done000
Total1353138

Merged error: 0.0b

Counts
138 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (acos (* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))) (/ 1.0 (cbrt 3.0)))
1.0b
(/ 1.0 (cbrt 3.0))
2.7b
(* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))
4.1b
(* (/ 3.0 z) (/ x (* 2.0 (* y 27.0))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
57×add-sqr-sqrt
51×times-frac
44×add-cube-cbrt *-un-lft-identity
39×prod-exp cbrt-unprod
35×associate-*r*
22×cbrt-undiv cbrt-prod div-exp
17×associate-*l*
13×pow1
6×associate-/r*
5×pow-prod-down associate-*l/ unswap-sqr
4×div-inv add-log-exp
3×associate-*r/ sqrt-prod *-commutative associate-/l*
2×frac-times
1×frac-2neg clear-num
Counts
4 → 169
Calls
4 calls:
9.0ms
(* (acos (* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))) (/ 1.0 (cbrt 3.0)))
4.0ms
(/ 1.0 (cbrt 3.0))
13.0ms
(* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))
14.0ms
(* (/ 3.0 z) (/ x (* 2.0 (* y 27.0))))

series43.0ms

Counts
4 → 10
Calls
4 calls:
19.0ms
(* (acos (* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))) (/ 1.0 (cbrt 3.0)))
0.0ms
(/ 1.0 (cbrt 3.0))
18.0ms
(* (* (/ 3.0 z) (/ x (* 2.0 (* y 27.0)))) (sqrt t))
6.0ms
(* (/ 3.0 z) (/ x (* 2.0 (* y 27.0))))

simplify43.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
051152613

prune411.0ms

Filtered
125 candidates to 179 candidates (-43.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1781179
Fresh101
Picked011
Done011
Total1793182

Merged error: 0b

Counts
182 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))) (/ 1.0 (cbrt 3.0)))
1.0b
(/ 1.0 (cbrt 3.0))
2.7b
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
6.4b
(/ x (* z y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×times-frac
37×add-cube-cbrt *-un-lft-identity
30×add-exp-log
28×associate-*r* add-cbrt-cube
22×cbrt-prod
11×pow1 prod-exp cbrt-unprod
7×associate-/r*
6×cbrt-undiv div-exp associate-/l*
4×associate-*l* pow-prod-down add-log-exp
3×sqrt-prod div-inv unswap-sqr
2×frac-2neg associate-*r/ clear-num *-commutative
1×associate-*l/
Counts
4 → 128
Calls
4 calls:
9.0ms
(* (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))) (/ 1.0 (cbrt 3.0)))
4.0ms
(/ 1.0 (cbrt 3.0))
10.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
4.0ms
(/ x (* z y))

series45.0ms

Counts
4 → 10
Calls
4 calls:
22.0ms
(* (acos (* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))) (/ 1.0 (cbrt 3.0)))
0.0ms
(/ 1.0 (cbrt 3.0))
18.0ms
(* (* 0.05555555555555555 (/ x (* z y))) (sqrt t))
5.0ms
(/ x (* z y))

simplify62.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049941658
149941658

prune302.0ms

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

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1380138
Fresh000
Picked011
Done022
Total1383141

Merged error: 0b

Counts
141 → 3

regimes911.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03028
13028

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.5s23921×body80nan
536.0ms8000×body80valid

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