Details

Time bar (total: 2.5s)

sample58.0ms

Algorithm
intervals
Results
20.0ms281×body80nan
19.0ms256×body80valid

simplify179.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (177.0ms)

IterNodesCost
0236419
1236419

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: 0.0b

Counts
2 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

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)))))
0.2b
(* 3.0 (* v v))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
26×associate-*l*
22×add-exp-log times-frac add-cbrt-cube
20×add-cube-cbrt *-un-lft-identity
18×frac-times
17×sqrt-prod
16×sqrt-div
15×pow1
14×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
associate-*l/
pow-prod-down unswap-sqr
*-commutative add-log-exp
cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp
div-inv difference-of-squares
Counts
3 → 113
Calls
3 calls:
12.0ms
(* (* (/ (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)))))
5.0ms
(* 3.0 (* v v))

series30.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
10.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms
(* 3.0 (* v v))

simplify35.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
052422396

prune232.0ms

Filtered
85 candidates to 122 candidates (-43.5%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1202122
Fresh101
Picked101
Done000
Total1222124

Merged error: 0b

Counts
124 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (sqrt 2.0) (sqrt (- (* 1.0 1.0) (* 3.0 (* (pow v 4) 3.0))))) (* 4.0 (sqrt (+ (* 3.0 (* v v)) 1.0))))
0.1b
(* 3.0 (* (pow v 4) 3.0))
0.1b
(* (pow v 4) 3.0)
0.2b
(* 3.0 (* v v))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
28×add-cbrt-cube
17×prod-exp
15×add-sqr-sqrt
13×associate-*l*
11×pow1 cbrt-unprod
add-cube-cbrt *-un-lft-identity
associate-*r*
cbrt-undiv unpow-prod-down sqrt-div associate-*r/ div-exp pow-prod-down add-log-exp unswap-sqr
*-commutative
pow-to-exp pow-exp associate-/r/ associate-/l/ sqr-pow
flip3-- frac-2neg flip3-+ times-frac clear-num associate-/r* flip-- flip-+ div-inv associate-/l*
Counts
4 → 88
Calls
4 calls:
16.0ms
(/ (* (sqrt 2.0) (sqrt (- (* 1.0 1.0) (* 3.0 (* (pow v 4) 3.0))))) (* 4.0 (sqrt (+ (* 3.0 (* v v)) 1.0))))
6.0ms
(* 3.0 (* (pow v 4) 3.0))
5.0ms
(* (pow v 4) 3.0)
6.0ms
(* 3.0 (* v v))

series24.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(/ (* (sqrt 2.0) (sqrt (- (* 1.0 1.0) (* 3.0 (* (pow v 4) 3.0))))) (* 4.0 (sqrt (+ (* 3.0 (* v v)) 1.0))))
4.0ms
(* 3.0 (* (pow v 4) 3.0))
4.0ms
(* (pow v 4) 3.0)
3.0ms
(* 3.0 (* v v))

simplify29.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
051891254

prune191.0ms

Filtered
65 candidates to 100 candidates (-53.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1000100
Fresh011
Picked011
Done000
Total1002102

Merged error: 0b

Counts
102 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
80×sqrt-div
58×frac-times
31×associate-*l/ sqrt-prod
30×associate-*r/
29×associate-*l*
28×flip3-- flip--
25×pow1
22×add-exp-log add-cbrt-cube
21×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
18×times-frac
16×pow-prod-down
12×prod-exp cbrt-unprod
associate-*r*
sqrt-pow1 pow1/2 *-commutative add-log-exp
distribute-rgt-in sub-neg distribute-lft-in sqrt-unprod
div-inv difference-of-squares unswap-sqr
Counts
3 → 134
Calls
3 calls:
21.0ms
(* (* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (sqrt (/ (sqrt 2.0) 4.0)))) (- 1.0 (* v v)))
5.0ms
(* 3.0 (* v v))
19.0ms
(* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (sqrt (/ (sqrt 2.0) 4.0))))

series42.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(* (* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (sqrt (/ (sqrt 2.0) 4.0)))) (- 1.0 (* v v)))
3.0ms
(* 3.0 (* v v))
14.0ms
(* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (sqrt (/ (sqrt 2.0) 4.0))))

simplify45.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
050143390

prune331.0ms

Filtered
105 candidates to 143 candidates (-36.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1430143
Fresh000
Picked011
Done011
Total1432145

Merged error: 0b

Counts
145 → 2

regimes64.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08132
18132

end0.0ms

sample1.1s

Algorithm
intervals
Results
417.0ms8000×body80valid
414.0ms8070×body80nan

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