Details

Time bar (total: 7.0s)

sample29.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
8.0ms250×body80nan

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
218210
337010
471310
5106610
6120110
7130810
8130810

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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)))))
0.1b
(* 3.0 (* v v))

rewrite115.0ms

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
9×associate-*l/
7×pow-prod-down unswap-sqr
3×*-commutative add-log-exp
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp
1×div-inv difference-of-squares
Counts
3 → 113
Calls
3 calls:
64.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
31.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
16.0ms
(* 3.0 (* v v))

series512.0ms

Counts
3 → 9
Calls
3 calls:
296.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
190.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
26.0ms
(* 3.0 (* v v))

simplify83.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
07601460
134221374
250011372

prune304.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
34×cube-div frac-times
28×sqrt-div
26×flip3-- flip--
25×associate-*l*
24×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity times-frac
18×associate-*r/
17×pow1 cbrt-div associate-*l/ sqrt-prod
10×prod-exp cbrt-unprod
8×cbrt-prod
7×associate-*r* pow-prod-down unswap-sqr
4×pow-exp add-log-exp rem-cube-cbrt
3×pow-unpow pow-pow
2×cbrt-undiv cube-mult unpow-prod-down unpow3 cube-prod div-exp *-commutative sqr-pow
1×pow-to-exp pow1/3 rem-cbrt-cube div-inv
Counts
4 → 149
Calls
4 calls:
31.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
12.0ms
(cbrt (pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3))
16.0ms
(* 3.0 (* v v))
56.0ms
(pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3)

series1.3s

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
259.0ms
(cbrt (pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3))
26.0ms
(* 3.0 (* v v))
785.0ms
(pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3)

simplify47.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011912292
150012209

prune520.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite484.0ms

Algorithm
rewrite-expression-head
Rules
432×sqrt-div
266×frac-times
132×flip3-- flip--
118×associate-*r/
107×cube-div
103×associate-*l/
69×pow1
29×pow-prod-down
28×sqrt-pow1
22×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×pow1/2 associate-*l* prod-exp pow-prod-up cbrt-unprod
6×associate-*r* pow-sqr
4×swap-sqr sqrt-prod add-log-exp
3×pow-unpow pow-pow pow-exp *-commutative rem-cube-cbrt unswap-sqr
1×pow2 cube-mult pow-to-exp unpow-prod-down pow-plus sqrt-unprod unpow3 cube-prod rem-square-sqrt sqr-pow
Counts
4 → 254
Calls
4 calls:
17.0ms
(* 3.0 (* v v))
16.0ms
(* 3.0 (* v v))
94.0ms
(* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
335.0ms
(pow (* (* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))) 3)

series1.5s

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
26.0ms
(* 3.0 (* v v))
242.0ms
(* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
1.2s
(pow (* (* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))) 3)

simplify107.0ms

Algorithm
egg-herbie
Counts
266 → 266
Iterations

Useful iterations: 1 (45.0ms)

IterNodesCost
030147090
150016481

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

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

sample767.0ms

Algorithm
intervals
Results
272.0ms8063×body80nan
270.0ms8000×body80valid