Details

Time bar (total: 6.1s)

sample39.0ms

Algorithm
intervals
Results
11.0ms264×body80nan
11.0ms256×body80valid

simplify76.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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))

rewrite128.0ms

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
associate-*l/
pow-prod-down unswap-sqr
prod-diff
distribute-rgt-in distribute-lft-in
expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
cbrt-undiv sub-neg div-exp
div-inv difference-of-squares
Counts
3 → 125
Calls
3 calls:
34.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
71.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
18.0ms
(* 3.0 (* v v))

series511.0ms

Counts
3 → 9
Calls
3 calls:
193.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
294.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
24.0ms
(* 3.0 (* v v))

simplify91.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
08171640
137751536
250011533

prune537.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite153.0ms

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*
pow-sqr pow-prod-up
add-cube-cbrt *-un-lft-identity
expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
pow-plus unswap-sqr
pow2 swap-sqr
Counts
4 → 125
Calls
4 calls:
19.0ms
(* 3.0 (* v v))
17.0ms
(* 3.0 (* v v))
17.0ms
(* 3.0 (* v v))
95.0ms
(* (* 3.0 (* v v)) (* 3.0 (* v v)))

series110.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 3.0 (* v v))
29.0ms
(* 3.0 (* v v))
24.0ms
(* 3.0 (* v v))
34.0ms
(* (* 3.0 (* v v)) (* 3.0 (* v v)))

simplify143.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0204556
1788379
24144349
35002349

prune971.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

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) 4.0)) (* (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) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))

rewrite383.0ms

Algorithm
rewrite-expression-head
Rules
87×sqrt-div
77×sqrt-prod
60×add-sqr-sqrt frac-times
54×associate-*l*
40×times-frac associate-*r/
38×add-cube-cbrt *-un-lft-identity
30×pow1 flip3-- flip--
25×add-exp-log add-cbrt-cube
24×associate-*l/
19×pow-prod-down
13×prod-exp cbrt-unprod
12×associate-*r*
unswap-sqr
prod-diff
distribute-rgt-in distribute-lft-in sqrt-pow1 pow1/2
expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
sqrt-unprod
sub-neg div-inv
difference-of-squares
Counts
4 → 206
Calls
4 calls:
38.0ms
(* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))
239.0ms
(* (* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
19.0ms
(* 3.0 (* v v))
77.0ms
(* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))

series860.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))
368.0ms
(* (* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
23.0ms
(* 3.0 (* v v))
227.0ms
(* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))

simplify62.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011993317
150013023

prune972.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03734
13734

end0.0ms

sample917.0ms

Algorithm
intervals
Results
361.0ms8009×body80nan
358.0ms8000×body80valid