Details

Time bar (total: 7.3s)

sample77.0ms

Algorithm
intervals
Results
25.0ms197×body80valid
17.0ms21×body1280valid
10.0ms19×body640valid
5.0ms12×body320valid
2.0ms7×body160valid

simplify41.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05216
113116
234216
3120216
4500216

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (/ (* 2.0 l) Om) 2.0)
0.3b
(pow (sin kx) 2.0)
2.7b
(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
7.5b
(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
20×add-sqr-sqrt unpow-prod-down
18×*-un-lft-identity
14×add-cube-cbrt
11×associate-*l*
7×pow1 pow-exp prod-exp
6×pow-unpow times-frac add-cbrt-cube
5×associate-*r*
4×expm1-log1p-u div-exp log1p-expm1-u add-log-exp sqr-pow
3×pow-to-exp sqrt-prod unswap-sqr
2×pow-pow flip3-+ sqrt-div associate-*r/ flip-+ div-inv distribute-lft-out
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 *-commutative cbrt-unprod
Counts
4 → 100
Calls
4 calls:
5.0ms
(pow (/ (* 2.0 l) Om) 2.0)
3.0ms
(pow (sin kx) 2.0)
14.0ms
(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
3.0ms
(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

series883.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(pow (/ (* 2.0 l) Om) 2.0)
107.0ms
(pow (sin kx) 2.0)
379.0ms
(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
317.0ms
(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

simplify68.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0514958
12067914
25002914

prune467.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.4b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (sin kx) 2.0)
1.1b
(* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
2.7b
(* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
7.5b
(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
124×add-exp-log
72×prod-exp
37×pow-exp
24×div-exp
22×associate-*l*
20×add-sqr-sqrt unpow-prod-down
18×*-un-lft-identity
14×add-cube-cbrt
13×pow-to-exp
11×add-cbrt-cube
6×pow1 times-frac associate-*r/ associate-*r*
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp sqr-pow
3×pow-unpow flip3-+ sqrt-prod flip-+ unswap-sqr
2×sqrt-div *-commutative div-inv distribute-lft-out
1×rem-sqrt-square pow-pow sqrt-pow1 pow1/2
Counts
4 → 135
Calls
4 calls:
3.0ms
(pow (sin kx) 2.0)
18.0ms
(* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
17.0ms
(* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
3.0ms
(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
112.0ms
(pow (sin kx) 2.0)
381.0ms
(* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
391.0ms
(* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
315.0ms
(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))

simplify85.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06362017
126481796
250021765

prune561.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.4b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (/ (* 2.0 l) Om) (* 2 (/ 2.0 2)))
0.3b
(pow (sin kx) 2.0)
1.8b
(log (pow (exp (pow (/ (* 2.0 l) Om) (* 2 (/ 2.0 2)))) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
2.7b
(pow (exp (pow (/ (* 2.0 l) Om) (* 2 (/ 2.0 2)))) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×unpow-prod-down
19×*-un-lft-identity
15×add-sqr-sqrt add-cube-cbrt
14×pow-pow
12×add-exp-log
11×exp-prod
9×pow-unpow
8×log-prod
7×pow1
6×times-frac pow-exp
5×sqr-pow
4×expm1-log1p-u pow-to-exp add-cbrt-cube log1p-expm1-u add-log-exp
3×rem-log-exp
2×unpow-prod-up div-exp div-inv distribute-lft-out
1×prod-exp log-pow
Counts
4 → 96
Calls
4 calls:
6.0ms
(pow (/ (* 2.0 l) Om) (* 2 (/ 2.0 2)))
3.0ms
(pow (sin kx) 2.0)
7.0ms
(log (pow (exp (pow (/ (* 2.0 l) Om) (* 2 (/ 2.0 2)))) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
14.0ms
(pow (exp (pow (/ (* 2.0 l) Om) (* 2 (/ 2.0 2)))) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

series624.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(pow (/ (* 2.0 l) Om) (* 2 (/ 2.0 2)))
106.0ms
(pow (sin kx) 2.0)
226.0ms
(log (pow (exp (pow (/ (* 2.0 l) Om) (* 2 (/ 2.0 2)))) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
206.0ms
(pow (exp (pow (/ (* 2.0 l) Om) (* 2 (/ 2.0 2)))) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04701182
121451084
250011056

prune595.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 1.4b

regimes329.0ms

Accuracy

0% (0.1b remaining)

Error of 0.8b against oracle of 0.7b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03222
13222

end0.0ms

sample2.1s

Algorithm
intervals
Results
783.0ms6206×body80valid
458.0ms530×body1280valid
379.0ms669×body640valid
153.0ms388×body320valid
54.0ms207×body160valid