Details

Time bar (total: 4.9s)

sample38.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
13.0ms250×body80nan

simplify83.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize12.0ms

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))

rewrite41.0ms

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:
3.0ms
(sqrt (- 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)))))
9.0ms
(* 3.0 (* v v))

series611.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
305.0ms
(* (* (/ (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)))))
24.0ms
(* 3.0 (* v v))

simplify109.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
08711794
139911686
250011684

prune353.0ms

Filtered
154 candidates to 111 candidates (72.1%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1522154
Fresh000
Picked101
Done000
Total1532155

Merged error: 0b

Counts
155 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b
(* (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)))) (- 1.0 (* v v))))
0.2b
(* 3.0 (* v v))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
31×associate-*l*
28×add-cube-cbrt *-un-lft-identity
25×distribute-rgt-in distribute-lft-in
23×add-exp-log add-cbrt-cube
20×frac-times sqrt-div
19×flip3-- flip--
18×times-frac prod-diff
17×pow1
16×sqrt-prod
14×associate-*r/
10×prod-exp cbrt-unprod
7×pow-prod-down associate-*l/
6×sub-neg associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative unswap-sqr
2×cbrt-undiv div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 161
Calls
4 calls:
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
8.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
15.0ms
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
6.0ms
(* 3.0 (* v v))

series594.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
176.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
309.0ms
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
29.0ms
(* 3.0 (* v v))

simplify108.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
09872208
141392069
250012067

prune369.0ms

Filtered
173 candidates to 118 candidates (68.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1730173
Fresh011
Picked011
Done000
Total1732175

Merged error: 0b

Counts
175 → 2

localize16.0ms

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
34×frac-times
28×sqrt-div
26×flip3-- associate-*l* flip--
24×add-cube-cbrt *-un-lft-identity
23×add-exp-log add-cbrt-cube
22×pow1 times-frac
18×associate-*r/
17×log-div exp-diff associate-*l/ sqrt-prod
11×associate-*r*
10×pow-prod-down prod-exp cbrt-unprod
7×unswap-sqr
6×exp-prod prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×log-pow *-commutative
2×cbrt-undiv sub-neg div-exp
1×log-prod exp-sum div-inv rem-exp-log difference-of-squares
Counts
4 → 159
Calls
4 calls:
13.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
13.0ms
(exp (log (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
15.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms
(* 3.0 (* v v))

series831.0ms

Counts
4 → 12
Calls
4 calls:
300.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
304.0ms
(exp (log (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
202.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
24.0ms
(* 3.0 (* v v))

simplify113.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
09442300
142802150
250012149

prune455.0ms

Filtered
171 candidates to 125 candidates (73.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1710171
Fresh000
Picked011
Done011
Total1712173

Merged error: 0b

Counts
173 → 2

regimes40.0ms

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
01710
11710

end0.0ms

sample1.0s

Algorithm
intervals
Results
411.0ms8000×body80valid
399.0ms7941×body80nan