Details

Time bar (total: 2.2s)

sample36.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
10.0ms226×body80nan

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
056520
156520

prune8.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 2.0 (* 6.0 (* v v)))
0.0b
(* (* 3.0 PI) (- 1.0 (* 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))))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
14×pow1
12×prod-exp cbrt-unprod
10×add-sqr-sqrt associate-*r/
8×add-cube-cbrt flip3-- *-un-lft-identity associate-/r/ flip--
6×sqrt-div pow-prod-down add-log-exp
5×associate-*r*
4×cbrt-undiv frac-times div-exp associate-*l*
3×sub-neg times-frac associate-/l*
2×distribute-rgt-in distribute-lft-in associate-*l/ *-commutative
1×frac-2neg diff-log clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 89
Calls
4 calls:
3.0ms
(- 2.0 (* 6.0 (* v v)))
7.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
5.0ms
(* 6.0 (* v v))
12.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series35.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- 2.0 (* 6.0 (* v v)))
8.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
3.0ms
(* 6.0 (* v v))
19.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify30.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
052311501

prune148.0ms

Filtered
69 candidates to 101 candidates (-46.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New992101
Fresh101
Picked101
Done000
Total1012103

Merged error: 0b

Counts
103 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))) 3))
0.1b
(* v (* v 6.0))
1.0b
(/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))
1.0b
(pow (/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))) 3)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
90×associate-*r/
40×associate-/r/
38×add-exp-log add-cbrt-cube
36×cbrt-prod
30×unpow-prod-down flip3-- sqrt-div cube-prod flip--
20×frac-times
17×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×times-frac prod-exp cbrt-unprod
10×pow1 associate-*l/
8×cbrt-undiv div-exp
5×pow-exp div-inv rem-cube-cbrt
4×add-log-exp
3×pow-unpow associate-*l* pow-prod-down associate-/l*
2×cube-div cube-mult unpow3 sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 associate-*r* clear-num associate-/r* *-commutative rem-cbrt-cube
Counts
4 → 153
Calls
4 calls:
8.0ms
(cbrt (pow (/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))) 3))
5.0ms
(* v (* v 6.0))
13.0ms
(/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))
15.0ms
(pow (/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))) 3)

series71.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(cbrt (pow (/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))) 3))
3.0ms
(* v (* v 6.0))
17.0ms
(/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))
35.0ms
(pow (/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))) 3)

simplify56.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
050234585

prune289.0ms

Filtered
98 candidates to 165 candidates (-68.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1650165
Fresh011
Picked011
Done000
Total1652167

Merged error: 0b

Counts
167 → 2

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 3.0 (* PI (* (sqrt (- 2.0 (* v (* v 6.0)))) (- (pow 1.0 3) (pow v 6)))))
0.1b
(* v (* v 6.0))
0.1b
(* (* v v) (* v v))
1.0b
(/ 4.0 (* 3.0 (* PI (* (sqrt (- 2.0 (* v (* v 6.0)))) (- (pow 1.0 3) (pow v 6))))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
129×pow1
44×add-exp-log add-cbrt-cube
36×associate-*r/ pow-prod-up
32×pow-prod-down
24×distribute-rgt-in distribute-lft-in
23×prod-exp cbrt-unprod
22×pow-sqr
18×pow-plus
13×pow2
12×flip3-- sqrt-div flip--
8×add-sqr-sqrt frac-times add-cube-cbrt sub-neg *-un-lft-identity associate-/r/
7×associate-*l*
4×cbrt-undiv div-exp associate-*l/ add-log-exp
3×times-frac associate-*r* *-commutative associate-/l*
1×frac-2neg swap-sqr clear-num associate-/r* div-inv unswap-sqr
Counts
4 → 159
Calls
4 calls:
18.0ms
(* 3.0 (* PI (* (sqrt (- 2.0 (* v (* v 6.0)))) (- (pow 1.0 3) (pow v 6)))))
5.0ms
(* v (* v 6.0))
11.0ms
(* (* v v) (* v v))
19.0ms
(/ 4.0 (* 3.0 (* PI (* (sqrt (- 2.0 (* v (* v 6.0)))) (- (pow 1.0 3) (pow v 6))))))

series33.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* 3.0 (* PI (* (sqrt (- 2.0 (* v (* v 6.0)))) (- (pow 1.0 3) (pow v 6)))))
3.0ms
(* v (* v 6.0))
3.0ms
(* (* v v) (* v v))
15.0ms
(/ 4.0 (* 3.0 (* PI (* (sqrt (- 2.0 (* v (* v 6.0)))) (- (pow 1.0 3) (pow v 6))))))

simplify43.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
054482449

prune238.0ms

Filtered
75 candidates to 171 candidates (-128.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1710171
Fresh000
Picked011
Done011
Total1712173

Merged error: 0b

Counts
173 → 2

regimes25.0ms

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
02523
12523

end0.0ms

sample975.0ms

Algorithm
intervals
Results
385.0ms8000×body80valid
359.0ms8072×body80nan

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