Details

Time bar (total: 4.6s)

sample33.0ms

Algorithm
intervals
Results
12.0ms274×body80nan
9.0ms256×body80valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
218210
337010
471310
5106610
6120110
7130810
8130810

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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))

rewrite38.0ms

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)))
13.0ms
(* (* (/ (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))

series610.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(- 1.0 (* 3.0 (* v v)))
315.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
203.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
30.0ms
(* 3.0 (* v v))

simplify87.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07721542
134701448
250021446

prune356.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
133×pow1
75×pow-prod-down
55×add-exp-log add-cbrt-cube
36×prod-exp cbrt-unprod
10×add-sqr-sqrt associate-*l*
9×pow-sqr pow-prod-up
7×add-cube-cbrt *-un-lft-identity
4×associate-*r* *-commutative add-log-exp
3×pow-plus unswap-sqr
1×pow2 swap-sqr
Counts
4 → 117
Calls
4 calls:
13.0ms
(* (* 3.0 (* v v)) (* 3.0 (* v v)))
6.0ms
(* 3.0 (* v v))
6.0ms
(* 3.0 (* v v))
6.0ms
(* 3.0 (* v v))

series116.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (* 3.0 (* v v)) (* 3.0 (* v v)))
24.0ms
(* 3.0 (* v v))
31.0ms
(* 3.0 (* v v))
25.0ms
(* 3.0 (* v v))

simplify146.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0200526
1782349
24098319
35001319

prune210.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
34×frac-times log-div
28×sqrt-div
26×flip3-- flip--
25×associate-*l*
24×add-exp-log
23×pow1
22×times-frac
21×add-cube-cbrt *-un-lft-identity
18×associate-*r/
17×exp-diff associate-*l/ sqrt-prod
14×add-cbrt-cube
10×pow-prod-down prod-exp
7×associate-*r* unswap-sqr
6×exp-prod log-pow
5×cbrt-unprod
4×rem-log-exp add-log-exp
2×log-prod div-exp *-commutative
1×cbrt-undiv exp-sum div-inv rem-exp-log
Counts
4 → 135
Calls
4 calls:
14.0ms
(exp (log (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
13.0ms
(log (* (* (/ (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))

series1.4s

Counts
4 → 12
Calls
4 calls:
314.0ms
(exp (log (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
706.0ms
(log (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
394.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
29.0ms
(* 3.0 (* v v))

simplify104.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
010202091
144081987
250021986

prune498.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes44.0ms

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
02319
12319

end0.0ms

sample734.0ms

Algorithm
intervals
Results
281.0ms8000×body80valid
277.0ms7966×body80nan