Details

Time bar (total: 5.1s)

sample36.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
12.0ms235×body80nan

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03210
19110
227510
367210
4130310
5173710
6180210
7180210

prune3.0ms

Filtered
1 candidates to 0 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 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 3.0 PI) (- 1.0 (* v v)))
0.0b
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.1b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
23×pow1
18×associate-*r/ prod-exp cbrt-unprod
14×add-sqr-sqrt
13×flip3-- flip--
12×add-cube-cbrt *-un-lft-identity sqrt-div pow-prod-down
11×associate-*r*
8×frac-times associate-/r/
6×prod-diff
5×distribute-rgt-in distribute-lft-in associate-*l*
4×cbrt-undiv expm1-log1p-u div-exp associate-*l/ log1p-expm1-u add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×sub-neg
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 123
Calls
4 calls:
7.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
12.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))
13.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series821.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
272.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
28.0ms
(* 6.0 (* v v))
417.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify119.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
09551468
146961282
250011281

prune283.0ms

Filtered
135 candidates to 89 candidates (65.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1332135
Fresh000
Picked011
Done000
Total1333136

Merged error: 0b

Counts
136 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 3.0 PI) (- 1.0 (* v v)))
0.0b
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
0.0b
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.1b
(* 6.0 (* v v))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
46×add-sqr-sqrt
44×add-cube-cbrt *-un-lft-identity
37×add-exp-log add-cbrt-cube
30×sqrt-prod
18×associate-*r/ associate-/r/
14×pow1
12×prod-exp cbrt-unprod associate-/l*
10×cbrt-undiv flip3-- div-exp flip--
9×div-inv
7×associate-/r*
6×prod-diff pow-prod-down
5×distribute-rgt-in distribute-lft-in associate-*r*
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×sub-neg frac-2neg sqrt-div clear-num *-commutative
1×associate-/l/ difference-of-squares unswap-sqr
Counts
4 → 173
Calls
4 calls:
7.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
7.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
12.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms
(* 6.0 (* v v))

series672.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
101.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
428.0ms
(/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))
30.0ms
(* 6.0 (* v v))

simplify118.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
010002299
147032105
250012101

prune378.0ms

Filtered
185 candidates to 129 candidates (69.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1850185
Fresh011
Picked011
Done011
Total1853188

Merged error: 0b

Counts
188 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.0b
(* (* 3.0 PI) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))
0.1b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* 3.0 PI) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log add-cbrt-cube
23×pow1
22×associate-*r/
20×prod-exp cbrt-unprod
18×flip3-- sqrt-div flip--
16×add-sqr-sqrt
12×frac-times pow-prod-down
10×add-cube-cbrt *-un-lft-identity
8×associate-*r* associate-*l* associate-/r/
6×associate-*l/
5×cbrt-undiv div-exp
4×expm1-log1p-u sqrt-prod log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l* unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares
Counts
4 → 123
Calls
4 calls:
8.0ms
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))
11.0ms
(* (* 3.0 PI) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))
6.0ms
(* 6.0 (* v v))
12.0ms
(/ 4.0 (* (* 3.0 PI) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))))

series921.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))
280.0ms
(* (* 3.0 PI) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))))
31.0ms
(* 6.0 (* v v))
432.0ms
(/ 4.0 (* (* 3.0 PI) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v)))))))

simplify115.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
09841635
144731432
250011429

prune308.0ms

Filtered
135 candidates to 94 candidates (69.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1350135
Fresh000
Picked011
Done022
Total1353138

Merged error: 0b

Counts
138 → 3

regimes59.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01910
11910

end0.0ms

sample1.0s

Algorithm
intervals
Results
423.0ms8000×body80valid
400.0ms8042×body80nan