Details

Time bar (total: 5.6s)

sample35.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
11.0ms235×body80nan

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
219410
341610
481610
5120710
6136810
7150510
8151110
9151110

prune3.0ms

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

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))

rewrite37.0ms

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:
16.0ms
(* (* (/ (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)))))
6.0ms
(* 3.0 (* v v))

series537.0ms

Counts
3 → 9
Calls
3 calls:
313.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
198.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms
(* 3.0 (* v v))

simplify94.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
08171640
137741536
250021533

prune303.0ms

Filtered
134 candidates to 92 candidates (68.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1322134
Fresh000
Picked101
Done000
Total1332135

Merged error: 0b

Counts
135 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(expm1 (log1p (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
0.0b
(* (expm1 (log1p (* (/ (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))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
28×associate-*l*
24×add-cube-cbrt *-un-lft-identity
22×times-frac
17×sqrt-prod
16×add-exp-log add-cbrt-cube
13×pow1
11×associate-*r*
8×unswap-sqr
6×prod-diff prod-exp cbrt-unprod
5×distribute-rgt-in distribute-lft-in pow-prod-down
4×expm1-log1p-u sqrt-div associate-*r/ log1p-expm1-u add-log-exp
3×flip3-- *-commutative flip--
2×frac-times sub-neg
1×cbrt-undiv expm1-log1p div-exp associate-*l/ div-inv expm1-udef difference-of-squares
Counts
4 → 119
Calls
4 calls:
1.0ms
(expm1 (log1p (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
5.0ms
(* (expm1 (log1p (* (/ (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)))))
6.0ms
(* 3.0 (* v v))

series1.6s

Counts
4 → 12
Calls
4 calls:
653.0ms
(expm1 (log1p (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
762.0ms
(* (expm1 (log1p (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v)))
198.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
29.0ms
(* 3.0 (* v v))

simplify96.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
08701785
137831627
250021620

prune345.0ms

Filtered
131 candidates to 93 candidates (71.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1310131
Fresh011
Picked011
Done000
Total1312133

Merged error: 0b

Counts
133 → 2

localize14.0ms

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
25×associate-*l*
22×add-cube-cbrt *-un-lft-identity times-frac
20×add-exp-log add-cbrt-cube
17×sqrt-prod
14×pow1
12×sqrt-div
10×cube-div
8×cbrt-prod
7×associate-*r* prod-exp cbrt-unprod unswap-sqr
6×frac-times flip3-- associate-*r/ flip--
5×cbrt-div pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-*l/ pow-exp rem-cube-cbrt
2×cbrt-undiv cube-mult unpow-prod-down pow-pow unpow3 cube-prod div-exp *-commutative sqr-pow
1×pow-to-exp pow1/3 rem-cbrt-cube div-inv
Counts
4 → 130
Calls
4 calls:
3.0ms
(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
11.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms
(* 3.0 (* v v))
14.0ms
(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

series908.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
209.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
24.0ms
(* 3.0 (* v v))
502.0ms
(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

simplify82.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06541365
129101336
250011332

prune364.0ms

Filtered
142 candidates to 102 candidates (71.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1420142
Fresh000
Picked011
Done011
Total1422144

Merged error: 0b

Counts
144 → 2

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
01912
11912

end0.0ms

sample977.0ms

Algorithm
intervals
Results
400.0ms8000×body80valid
391.0ms8042×body80nan