Details

Time bar (total: 5.6s)

sample30.0ms

Algorithm
intervals
Results
9.0ms265×body80nan
9.0ms256×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
218210
337010
471310
5106610
6120110
7130810
8130810

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
26×associate-*l*
23×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity 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
4×add-log-exp
3×*-commutative
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 128
Calls
4 calls:
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
32.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
19.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
7.0ms
(* 3.0 (* v v))

series636.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
314.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
204.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
34.0ms
(* 3.0 (* v v))

simplify89.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
08091605
136211516
250011513

prune396.0ms

Filtered
140 candidates to 99 candidates (70.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b
(* (* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
0.0b
(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))
0.2b
(* 3.0 (* v v))

rewrite229.0ms

Algorithm
rewrite-expression-head
Rules
145×add-exp-log
83×prod-exp
78×add-cbrt-cube
60×frac-times
53×add-sqr-sqrt
51×cbrt-unprod
42×associate-*l*
40×associate-*r/
36×times-frac sqrt-div
35×div-exp
30×flip3-- flip--
29×add-cube-cbrt *-un-lft-identity
25×pow1
24×associate-*l/
22×cbrt-prod
19×cbrt-undiv
18×sqrt-prod
13×pow-prod-down
12×1-exp associate-*r*
9×unswap-sqr
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in div-inv
1×difference-of-squares
Counts
4 → 216
Calls
4 calls:
22.0ms
(* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
144.0ms
(* (* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
43.0ms
(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))
7.0ms
(* 3.0 (* v v))

series908.0ms

Counts
4 → 12
Calls
4 calls:
342.0ms
(* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
326.0ms
(* (* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
209.0ms
(* (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (* (/ (cbrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))
30.0ms
(* 3.0 (* v v))

simplify69.0ms

Algorithm
egg-herbie
Counts
228 → 228
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
014094067
150013438

prune641.0ms

Filtered
228 candidates to 143 candidates (62.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b
(* (* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
0.2b
(* 3.0 (* v v))
1.0b
(* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
70×add-sqr-sqrt
67×sqrt-prod
66×associate-*l*
64×add-cbrt-cube
60×frac-times times-frac
46×add-cube-cbrt *-un-lft-identity
45×prod-exp
40×associate-*r/
36×sqrt-div
32×cbrt-unprod
30×flip3-- flip--
25×pow1
24×associate-*l/
19×div-exp
13×pow-prod-down
12×associate-*r*
11×cbrt-undiv
9×unswap-sqr
6×1-exp
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in div-inv
1×difference-of-squares
Counts
4 → 222
Calls
4 calls:
23.0ms
(* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
130.0ms
(* (* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
6.0ms
(* 3.0 (* v v))
42.0ms
(* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

series824.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
347.0ms
(* (* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
24.0ms
(* 3.0 (* v v))
218.0ms
(* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

simplify59.0ms

Algorithm
egg-herbie
Counts
234 → 234
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013583515
150013240

prune600.0ms

Filtered
234 candidates to 149 candidates (63.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

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
02517
12517

end0.0ms

sample749.0ms

Algorithm
intervals
Results
284.0ms8000×body80valid
277.0ms7763×body80nan