Details

Time bar (total: 5.5s)

sample30.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
8.0ms250×body80nan

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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 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))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
26×associate-*l*
22×add-exp-log add-cube-cbrt *-un-lft-identity times-frac add-cbrt-cube
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
6×prod-diff
5×distribute-rgt-in distribute-lft-in
3×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
2×cbrt-undiv sub-neg div-exp
1×div-inv difference-of-squares
Counts
3 → 125
Calls
3 calls:
62.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
33.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
16.0ms
(* 3.0 (* v v))

series732.0ms

Counts
3 → 9
Calls
3 calls:
508.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
199.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms
(* 3.0 (* v v))

simplify91.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
08171640
137741536
250021533

prune330.0ms

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×expm1-log1p-u pow-exp log1p-expm1-u 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 → 157
Calls
4 calls:
32.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
11.0ms
(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)

series1.2s

Counts
4 → 12
Calls
4 calls:
189.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
234.0ms
(cbrt (pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3))
24.0ms
(* 3.0 (* v v))
734.0ms
(pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3)

simplify47.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012222351
150012241

prune537.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
0.1b
(* 3.0 (* v v))
1.0b
(* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

rewrite314.0ms

Algorithm
rewrite-expression-head
Rules
79×add-exp-log
58×frac-times add-cbrt-cube
43×prod-exp
38×associate-*r/
35×associate-*l*
32×sqrt-div
30×cbrt-unprod
28×add-sqr-sqrt flip3-- flip--
27×times-frac sqrt-prod
26×add-cube-cbrt *-un-lft-identity
23×associate-*l/
22×pow1
18×div-exp
12×pow-prod-down
10×cbrt-undiv
6×1-exp associate-*r* prod-diff
5×distribute-rgt-in distribute-lft-in
3×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
2×sub-neg
1×div-inv difference-of-squares unswap-sqr
Counts
3 → 171
Calls
3 calls:
215.0ms
(* (* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
16.0ms
(* 3.0 (* v v))
72.0ms
(* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

series527.0ms

Counts
3 → 9
Calls
3 calls:
298.0ms
(* (* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
25.0ms
(* 3.0 (* v v))
204.0ms
(* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

simplify51.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012222974
150022651

prune405.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes41.0ms

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

sample816.0ms

Algorithm
intervals
Results
282.0ms8063×body80nan
282.0ms8000×body80valid