Details

Time bar (total: 3.0s)

sample41.0ms

Algorithm
intervals
Results
15.0ms312×body80nan
13.0ms256×body80valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 2.0 (* 6.0 (* v v))))
0.0b
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
19×pow1
16×associate-*r/
15×prod-exp cbrt-unprod
14×sqrt-div
13×flip3-- flip--
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×pow-prod-down
8×frac-times associate-/r/
7×associate-*r*
6×sqrt-prod
4×cbrt-undiv expm1-log1p-u div-exp associate-*l* associate-*l/ log1p-expm1-u add-log-exp
3×times-frac associate-/l*
2×*-commutative
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/r* div-inv unswap-sqr
Counts
4 → 107
Calls
4 calls:
3.0ms
(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))
15.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series799.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
270.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
30.0ms
(* 6.0 (* v v))
421.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify99.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
09051373
142751219
250011215

prune285.0ms

Filtered
119 candidates to 87 candidates (73.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1181119
Fresh000
Picked011
Done000
Total1182120

Merged error: 0b

Counts
120 → 2

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
(sqrt (- 2.0 (* 6.0 (* v v))))
0.2b
(* 6.0 (* v v))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
15×pow1
14×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×prod-exp cbrt-unprod
6×prod-diff pow-prod-down
5×distribute-rgt-in distribute-lft-in associate-*r*
4×expm1-log1p-u associate-*r/ associate-*l* log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- times-frac div-exp sqrt-prod flip-- associate-/l*
2×sub-neg sqrt-div associate-/r/ *-commutative
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 98
Calls
4 calls:
11.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
7.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
3.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
6.0ms
(* 6.0 (* v v))

series307.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
99.0ms
(/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))
79.0ms
(sqrt (- 2.0 (* 6.0 (* v v))))
24.0ms
(* 6.0 (* v v))

simplify68.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0600723
12678632
25001629

prune215.0ms

Filtered
110 candidates to 73 candidates (66.4%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1100110
Fresh000
Picked011
Done011
Total1102112

Merged error: 0b

Counts
112 → 2

regimes53.0ms

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
410.0ms8000×body80valid
406.0ms8165×body80nan