Details

Time bar (total: 6.4s)

sample62.0ms

Algorithm
intervals
Results
26.0ms258×body80nan
24.0ms256×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

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

rewrite62.0ms

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:
2.0ms
(- 1.0 (* 3.0 (* v v)))
20.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
29.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
6.0ms
(* 3.0 (* v v))

series604.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(- 1.0 (* 3.0 (* v v)))
202.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
316.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
25.0ms
(* 3.0 (* v v))

simplify84.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
07721542
134701448
250021446

prune340.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1 add-exp-log add-cbrt-cube
12×add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt *-un-lft-identity
4×associate-*r* *-commutative add-log-exp unswap-sqr
Counts
4 → 76
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
9.0ms
(* 3.0 (* v v))
6.0ms
(* 3.0 (* v v))
6.0ms
(* 3.0 (* v v))

series106.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
30.0ms
(* 3.0 (* v v))
25.0ms
(* 3.0 (* v v))
25.0ms
(* 3.0 (* v v))

simplify100.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
086300
1289240
2825240
32881240
45001240

prune271.0ms

Pruning

2 alts after pruning (1 fresh and 1 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))))) (- 1.0 (* v v)))
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))
1.0b
(* (sqrt (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))) (sqrt (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))

rewrite299.0ms

Algorithm
rewrite-expression-head
Rules
1056×sqrt-div
881×frac-times
444×flip3-- flip--
313×associate-*r/ associate-*l/
146×pow1
80×pow-prod-down
60×sqrt-pow1
25×add-exp-log add-cbrt-cube
17×pow-prod-up
16×add-sqr-sqrt
12×pow1/2 prod-exp cbrt-unprod
11×add-cube-cbrt *-un-lft-identity associate-*l* pow-sqr
10×associate-*r*
4×swap-sqr sqrt-prod *-commutative add-log-exp
3×unswap-sqr
2×distribute-rgt-in sub-neg distribute-lft-in
1×cbrt-undiv pow2 pow-plus sqrt-unprod div-exp rem-square-sqrt difference-of-squares
Counts
4 → 469
Calls
4 calls:
31.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
6.0ms
(* 3.0 (* v v))
6.0ms
(* 3.0 (* v v))
193.0ms
(* (sqrt (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))) (sqrt (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))

series784.0ms

Counts
4 → 12
Calls
4 calls:
327.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
25.0ms
(* 3.0 (* v v))
31.0ms
(* 3.0 (* v v))
400.0ms
(* (sqrt (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))) (sqrt (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))

simplify184.0ms

Algorithm
egg-herbie
Counts
481 → 481
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
0148517466
1500117265

prune1.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes48.0ms

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
03631
13631

end0.0ms

sample1.7s

Algorithm
intervals
Results
748.0ms8000×body80valid
746.0ms8033×body80nan