Details

Time bar (total: 4.6s)

sample34.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
11.0ms232×body80nan

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
218210
337010
471310
5106610
6120110
7130810
8130810

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: 0.0b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
26×associate-*l*
23×add-exp-log add-cbrt-cube
22×times-frac
21×add-cube-cbrt *-un-lft-identity
18×frac-times
17×sqrt-prod
16×pow1 sqrt-div
15×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
9×associate-*l/
7×pow-prod-down unswap-sqr
6×add-log-exp
3×sub-neg *-commutative
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp
1×diff-log div-inv difference-of-squares
Counts
4 → 125
Calls
4 calls:
3.0ms
(- 1.0 (* 3.0 (* v v)))
17.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
11.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms
(* 3.0 (* v v))

series599.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(- 1.0 (* 3.0 (* v v)))
311.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
201.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms
(* 3.0 (* v v))

simplify89.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07761542
134981448
250021446

prune301.0ms

Filtered
137 candidates to 94 candidates (68.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1352137
Fresh000
Picked101
Done000
Total1362138

Merged error: 0b

Counts
138 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×cube-div
20×frac-times cbrt-div sqrt-div
18×cbrt-prod
17×add-exp-log add-sqr-sqrt
16×flip3-- add-cbrt-cube flip--
14×pow1 associate-*l*
12×associate-*r/
10×add-cube-cbrt *-un-lft-identity associate-*l/
6×prod-exp cbrt-unprod
5×associate-*r* pow-prod-down
4×add-log-exp unswap-sqr sqr-pow
3×cube-mult unpow-prod-down pow-unpow unpow3 cube-prod pow-exp rem-cube-cbrt
2×distribute-rgt-in sub-neg pow-pow distribute-lft-in *-commutative
1×cbrt-undiv pow-to-exp pow1/3 div-exp rem-cbrt-cube difference-of-squares
Counts
4 → 120
Calls
4 calls:
9.0ms
(* (cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)) (- 1.0 (* v v)))
3.0ms
(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
6.0ms
(* 3.0 (* v v))
9.0ms
(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

series1.2s

Counts
4 → 12
Calls
4 calls:
495.0ms
(* (cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)) (- 1.0 (* v v)))
170.0ms
(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
31.0ms
(* 3.0 (* v v))
487.0ms
(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

simplify111.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
07951716
137611630
250011629

prune359.0ms

Filtered
132 candidates to 101 candidates (76.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1311132
Fresh101
Picked011
Done000
Total1322134

Merged error: 0b

Counts
134 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×add-cube-cbrt *-un-lft-identity
36×times-frac
28×unpow-prod-down cube-prod
24×sqrt-prod
13×add-exp-log add-cbrt-cube
12×pow1
10×cube-div
6×pow-unpow sqrt-div
5×cbrt-div
4×pow-pow pow-prod-down add-log-exp
3×flip3-- associate-*l* pow-exp prod-exp flip-- cbrt-unprod rem-cube-cbrt
2×cube-mult frac-times pow-to-exp unpow3 associate-*r/ div-inv sqr-pow
1×cbrt-undiv cbrt-prod sqrt-pow1 pow1/2 pow1/3 div-exp associate-*r* associate-*l/ *-commutative sqrt-pow2 rem-cbrt-cube unswap-sqr
Counts
4 → 132
Calls
4 calls:
5.0ms
(pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3)
12.0ms
(cbrt (* (pow (/ (sqrt 2.0) 4.0) 3) (pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3)))
6.0ms
(* 3.0 (* v v))
6.0ms
(pow (/ (sqrt 2.0) 4.0) 3)

series391.0ms

Counts
4 → 10
Calls
4 calls:
192.0ms
(pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3)
169.0ms
(cbrt (* (pow (/ (sqrt 2.0) 4.0) 3) (pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3)))
30.0ms
(* 3.0 (* v v))
0.0ms
(pow (/ (sqrt 2.0) 4.0) 3)

simplify91.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
07491104
13207954
25001928

prune272.0ms

Filtered
142 candidates to 72 candidates (50.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1420142
Fresh000
Picked011
Done011
Total1422144

Merged error: 0b

Counts
144 → 2

regimes28.0ms

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
02012
12012

end0.0ms

sample957.0ms

Algorithm
intervals
Results
388.0ms8000×body80valid
381.0ms8057×body80nan

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