Details

Time bar (total: 2.5s)

sample46.0ms

Algorithm
intervals
Results
19.0ms270×body80nan
14.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
065619
165619

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
23×add-exp-log add-cbrt-cube
18×add-cube-cbrt *-un-lft-identity associate-*r*
17×pow1
15×associate-*l*
14×times-frac
11×sqrt-prod
10×sqrt-div prod-exp cbrt-unprod
7×associate-*r/ pow-prod-down
5×flip3-- flip-- unswap-sqr
4×frac-times associate-*l/ add-log-exp
3×*-commutative difference-of-squares
2×cbrt-undiv div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv
Counts
4 → 106
Calls
4 calls:
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
12.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0))
13.0ms
(* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))
6.0ms
(* 3.0 (* v v))

series41.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
12.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0))
19.0ms
(* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))
3.0ms
(* 3.0 (* v v))

simplify51.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049842073
149842073

prune244.0ms

Filtered
84 candidates to 118 candidates (-40.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1162118
Fresh000
Picked011
Done000
Total1163119

Merged error: 0b

Counts
119 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3))
0.0b
(* (sqrt 2.0) (* (cbrt (pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3)) (/ (- 1.0 (* v v)) 4.0)))
0.0b
(pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3)
0.2b
(* 3.0 (* v v))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log
18×cbrt-prod add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity add-cbrt-cube
16×pow1
15×sqrt-prod
12×unpow-prod-down cube-prod
9×associate-*l*
8×cube-div sqrt-div prod-exp cbrt-unprod
6×cbrt-div associate-*r/ pow-prod-down
4×flip3-- flip-- add-log-exp
3×pow-unpow pow-pow
2×cube-mult frac-times unpow3 associate-*r* associate-*l/ *-commutative sqr-pow
1×cbrt-undiv pow-to-exp sqrt-pow1 pow1/2 pow1/3 div-exp pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt unswap-sqr
Counts
4 → 110
Calls
4 calls:
5.0ms
(cbrt (pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3))
15.0ms
(* (sqrt 2.0) (* (cbrt (pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3)) (/ (- 1.0 (* v v)) 4.0)))
5.0ms
(pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3)
6.0ms
(* 3.0 (* v v))

series39.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3))
19.0ms
(* (sqrt 2.0) (* (cbrt (pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3)) (/ (- 1.0 (* v v)) 4.0)))
10.0ms
(pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3)
4.0ms
(* 3.0 (* v v))

simplify29.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
050711822

prune209.0ms

Filtered
69 candidates to 122 candidates (-76.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1220122
Fresh011
Picked011
Done011
Total1223125

Merged error: 0b

Counts
125 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
37×add-exp-log add-cbrt-cube
34×associate-*l*
27×sqrt-prod
25×pow1
21×add-cube-cbrt *-un-lft-identity
19×prod-exp cbrt-unprod
15×times-frac
13×pow-prod-down
12×associate-*r*
11×associate-*l/
8×sqrt-div
7×associate-*r/ unswap-sqr
4×frac-times flip3-- *-commutative flip-- add-log-exp
3×cbrt-undiv div-exp difference-of-squares
1×div-inv
Counts
4 → 126
Calls
4 calls:
12.0ms
(* (/ (- 1.0 (* v v)) 4.0) (sqrt (sqrt 2.0)))
17.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (* (/ (- 1.0 (* v v)) 4.0) (sqrt (sqrt 2.0))))
6.0ms
(* 3.0 (* v v))
18.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (* (/ (- 1.0 (* v v)) 4.0) (sqrt (sqrt 2.0)))))

series53.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (/ (- 1.0 (* v v)) 4.0) (sqrt (sqrt 2.0)))
19.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (* (/ (- 1.0 (* v v)) 4.0) (sqrt (sqrt 2.0))))
3.0ms
(* 3.0 (* v v))
17.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (* (/ (- 1.0 (* v v)) 4.0) (sqrt (sqrt 2.0)))))

simplify37.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
053212452

prune329.0ms

Filtered
93 candidates to 138 candidates (-48.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1380138
Fresh000
Picked011
Done022
Total1383141

Merged error: 0b

Counts
141 → 3

regimes60.0ms

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
01719
11719

end0.0ms

sample1.2s

Algorithm
intervals
Results
440.0ms8000×body80valid
433.0ms8034×body80nan

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