Details

Time bar (total: 5.0s)

sample33.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
9.0ms272×body80nan

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
219410
341610
481610
5120710
6136810
7150510
8151110
9151110

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
26×associate-*l*
24×add-cube-cbrt *-un-lft-identity
23×add-exp-log add-cbrt-cube
22×times-frac
20×sqrt-prod
18×frac-times sqrt-div
17×pow1
15×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
9×associate-*l/
7×pow-prod-down unswap-sqr
6×prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×cbrt-undiv sub-neg div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 142
Calls
4 calls:
33.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
4.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
18.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms
(* 3.0 (* v v))

series625.0ms

Counts
4 → 12
Calls
4 calls:
316.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
81.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
202.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms
(* 3.0 (* v v))

simplify97.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
08711794
139911686
250011684

prune414.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
25×cube-div
20×frac-times cbrt-div sqrt-div
19×add-sqr-sqrt
18×cbrt-prod
17×add-exp-log
16×flip3-- add-cbrt-cube flip--
14×pow1 associate-*l*
12×add-cube-cbrt *-un-lft-identity associate-*r/
10×associate-*l/
6×prod-diff prod-exp cbrt-unprod
5×distribute-rgt-in distribute-lft-in associate-*r* pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr sqr-pow
3×cube-mult unpow-prod-down pow-unpow unpow3 cube-prod pow-exp rem-cube-cbrt
2×sub-neg pow-pow *-commutative
1×cbrt-undiv pow-to-exp pow1/3 div-exp rem-cbrt-cube difference-of-squares
Counts
4 → 134
Calls
4 calls:
17.0ms
(* (cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)) (- 1.0 (* v v)))
2.0ms
(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
6.0ms
(* 3.0 (* v v))
8.0ms
(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

series1.0s

Counts
4 → 12
Calls
4 calls:
312.0ms
(* (cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)) (- 1.0 (* v v)))
180.0ms
(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
25.0ms
(* 3.0 (* v v))
498.0ms
(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

simplify111.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
08371944
140171814
250011811

prune455.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
72×times-frac
69×add-sqr-sqrt
63×add-cube-cbrt *-un-lft-identity
60×associate-*l*
50×cbrt-prod
44×unpow-prod-down cube-prod
40×sqrt-prod
20×frac-times
19×add-exp-log
18×flip3-- sqrt-div flip--
17×pow1 add-cbrt-cube
14×associate-*r/
10×cube-div
9×cbrt-div
8×associate-*r*
7×pow-prod-down associate-*l/ prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×pow-unpow *-commutative unswap-sqr
2×cube-mult unpow3 pow-exp rem-cube-cbrt sqr-pow
1×cbrt-undiv pow-to-exp pow-pow div-exp difference-of-squares
Counts
4 → 207
Calls
4 calls:
51.0ms
(* (cbrt (pow (/ (sqrt 2.0) 4.0) 3)) (* (- 1.0 (* v v)) (sqrt (- 1.0 (* 3.0 (* v v))))))
18.0ms
(* (- 1.0 (* v v)) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms
(* 3.0 (* v v))
6.0ms
(pow (/ (sqrt 2.0) 4.0) 3)

series523.0ms

Counts
4 → 10
Calls
4 calls:
319.0ms
(* (cbrt (pow (/ (sqrt 2.0) 4.0) 3)) (* (- 1.0 (* v v)) (sqrt (- 1.0 (* 3.0 (* v v))))))
178.0ms
(* (- 1.0 (* v v)) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms
(* 3.0 (* v v))
0.0ms
(pow (/ (sqrt 2.0) 4.0) 3)

simplify47.0ms

Algorithm
egg-herbie
Counts
217 → 217
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010702238
150012048

prune553.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

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

sample758.0ms

Algorithm
intervals
Results
292.0ms8079×body80nan
289.0ms8000×body80valid