Details

Time bar (total: 4.7s)

sample31.0ms

Algorithm
intervals
Results
10.0ms274×body80nan
9.0ms256×body80valid

simplify77.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
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))))) (- 1.0 (* v v)))
0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b
(* 3.0 (* v v))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
26×associate-*l*
25×add-cube-cbrt *-un-lft-identity
23×add-exp-log add-cbrt-cube
22×times-frac
18×frac-times
17×sqrt-prod
16×pow1 sqrt-div
15×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
9×prod-diff associate-*l/
7×pow-prod-down unswap-sqr
6×add-log-exp
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u log1p-expm1-u
3×sub-neg fma-neg *-commutative
2×cbrt-undiv div-exp
1×diff-log div-inv difference-of-squares
Counts
4 → 145
Calls
4 calls:
2.0ms
(- 1.0 (* 3.0 (* v v)))
33.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
20.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
7.0ms
(* 3.0 (* v v))

series569.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(- 1.0 (* 3.0 (* v v)))
296.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
195.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
24.0ms
(* 3.0 (* v v))

simplify98.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
08431772
138871651
250011648

prune393.0ms

Filtered
157 candidates to 110 candidates (70.1%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 3.0 (* v v)) (* 3.0 (* v v)))
0.1b
(* 3.0 (* v v))
0.1b
(* 3.0 (* v v))
0.1b
(* 3.0 (* v v))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
133×pow1
75×pow-prod-down
55×add-exp-log add-cbrt-cube
36×prod-exp cbrt-unprod
10×add-sqr-sqrt associate-*l*
9×pow-sqr pow-prod-up
7×add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
3×pow-plus unswap-sqr
1×pow2 swap-sqr
Counts
4 → 125
Calls
4 calls:
35.0ms
(* (* 3.0 (* v v)) (* 3.0 (* v v)))
6.0ms
(* 3.0 (* v v))
6.0ms
(* 3.0 (* v v))
6.0ms
(* 3.0 (* v v))

series113.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* 3.0 (* v v)) (* 3.0 (* v v)))
25.0ms
(* 3.0 (* v v))
23.0ms
(* 3.0 (* v v))
28.0ms
(* 3.0 (* v v))

simplify142.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0204556
1788379
24143349
35002349

prune231.0ms

Filtered
137 candidates to 57 candidates (41.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
34×frac-times log-div
28×sqrt-div
26×flip3-- flip--
25×associate-*l*
24×add-exp-log
23×pow1
22×times-frac
21×add-cube-cbrt *-un-lft-identity
18×associate-*r/
17×exp-diff associate-*l/ sqrt-prod
14×add-cbrt-cube
10×pow-prod-down prod-exp
7×associate-*r* unswap-sqr
6×exp-prod log-pow
5×cbrt-unprod
4×expm1-log1p-u rem-log-exp log1p-expm1-u add-log-exp
2×log-prod div-exp *-commutative
1×cbrt-undiv exp-sum div-inv rem-exp-log
Counts
4 → 143
Calls
4 calls:
98.0ms
(exp (log (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
35.0ms
(log (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
18.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
7.0ms
(* 3.0 (* v v))

series1.2s

Counts
4 → 12
Calls
4 calls:
306.0ms
(exp (log (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
703.0ms
(log (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
201.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
24.0ms
(* 3.0 (* v v))

simplify113.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
010582138
145922023
250012019

prune530.0ms

Filtered
155 candidates to 119 candidates (76.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes43.0ms

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
02319
12319

end0.0ms

sample773.0ms

Algorithm
intervals
Results
294.0ms8000×body80valid
287.0ms7966×body80nan