Details

Time bar (total: 8.8s)

sample62.0ms

Algorithm
intervals
Results
27.0ms258×body80nan
24.0ms256×body80valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02710
17210
219410
341610
481610
5120710
6136810
7150510
8151110
9151110

prune3.0ms

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

rewrite66.0ms

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:
3.0ms
(- 1.0 (* 3.0 (* v v)))
21.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
31.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
6.0ms
(* 3.0 (* v v))

series593.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(- 1.0 (* 3.0 (* v v)))
197.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
311.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
24.0ms
(* 3.0 (* v v))

simplify96.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
08431772
138881651
250021648

prune408.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

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:
18.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0ms
(expm1 (log1p (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
12.0ms
(* (expm1 (log1p (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v)))
6.0ms
(* 3.0 (* v v))

series1.8s

Counts
4 → 12
Calls
4 calls:
195.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
814.0ms
(expm1 (log1p (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
773.0ms
(* (expm1 (log1p (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v)))
24.0ms
(* 3.0 (* v v))

simplify95.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
08701785
137881619
250011612

prune376.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite329.0ms

Algorithm
rewrite-expression-head
Rules
1443×sqrt-div
881×frac-times
444×flip3-- flip--
313×associate-*r/ associate-*l/
130×pow1
85×pow-prod-down
60×sqrt-pow1
28×add-exp-log add-cbrt-cube
22×pow1/2
16×add-sqr-sqrt
15×prod-exp cbrt-unprod
13×pow-prod-up
11×associate-*l*
10×associate-*r*
9×add-cube-cbrt *-un-lft-identity pow-sqr
6×sqrt-unprod sqrt-prod
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp unswap-sqr
2×pow-plus
1×pow2 swap-sqr rem-square-sqrt difference-of-squares
Counts
4 → 469
Calls
4 calls:
36.0ms
(* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (- 1.0 (* v v))))
6.0ms
(* 3.0 (* v v))
6.0ms
(* 3.0 (* v v))
211.0ms
(* (* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (- 1.0 (* v v)))) (* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (- 1.0 (* v v)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
626.0ms
(* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (- 1.0 (* v v))))
24.0ms
(* 3.0 (* v v))
24.0ms
(* 3.0 (* v v))
379.0ms
(* (* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (- 1.0 (* v v)))) (* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (- 1.0 (* v v)))))

simplify209.0ms

Algorithm
egg-herbie
Counts
481 → 481
Iterations

Useful iterations: 1 (51.0ms)

IterNodesCost
0279318648
1500117708

prune1.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

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

sample1.7s

Algorithm
intervals
Results
751.0ms8000×body80valid
747.0ms8033×body80nan