Details

Time bar (total: 10.1s)

sample161.0ms

Algorithm
intervals
Results
76.0ms71×body1280valid
33.0ms43×body640valid
15.0ms33×body320valid
14.0ms100×body80valid
3.0ms9×body160valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07430
118230
265730
3272730
4500130

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.5b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
2.8b
(- (cos x) (cos y))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
16×*-un-lft-identity
12×associate-*r*
11×pow1 add-exp-log add-cbrt-cube
10×associate-*r/
9×flip3-- flip--
8×add-cube-cbrt add-log-exp
7×associate-*l* difference-of-squares
6×sub-neg
5×sqrt-prod
4×distribute-rgt-in frac-times distribute-lft-in pow-prod-down prod-exp cbrt-unprod distribute-lft-out--
2×times-frac diff-log associate-*l/ *-commutative unswap-sqr
1×diff-cos
Counts
4 → 94
Calls
4 calls:
54.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
28.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
3.0ms
(- 3.0 (sqrt 5.0))
3.0ms
(- (cos x) (cos y))

series278.0ms

Counts
4 → 10
Calls
4 calls:
133.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
90.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
55.0ms
(- (cos x) (cos y))

simplify68.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06221094
126431002
250031002

prune513.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
2.8b
(- (cos x) (cos y))
3.7b
(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
14×*-un-lft-identity
9×add-log-exp
8×add-cube-cbrt
7×pow1 log-prod
6×add-exp-log sub-neg associate-*r* associate-*l* add-cbrt-cube
5×sqrt-prod difference-of-squares
4×distribute-rgt-in distribute-lft-in exp-sum
3×flip3-- log-pow flip-- distribute-lft-out--
2×diff-log associate-*r/ unswap-sqr
1×exp-prod exp-to-pow times-frac rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod diff-cos
Counts
4 → 79
Calls
4 calls:
29.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
3.0ms
(- 3.0 (sqrt 5.0))
3.0ms
(- (cos x) (cos y))
3.0ms
(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

series280.0ms

Counts
4 → 10
Calls
4 calls:
87.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
62.0ms
(- (cos x) (cos y))
130.0ms
(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

simplify47.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0422818
11443744
25001743

prune534.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

1.0b
(- 3.0 (sqrt 5.0))
2.8b
(- (cos x) (cos y))
4.2b
(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))
4.2b
(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
20×log-prod
15×sqrt-prod
14×add-sqr-sqrt
12×*-un-lft-identity
10×log-pow add-log-exp
8×pow1 add-cube-cbrt exp-sum
6×add-exp-log sub-neg sqrt-pow1
4×distribute-rgt-in distribute-lft-in add-cbrt-cube
3×difference-of-squares
2×exp-prod flip3-- exp-to-pow pow1/2 diff-log rem-log-exp flip-- distribute-lft-out--
1×diff-cos
Counts
4 → 76
Calls
4 calls:
6.0ms
(- 3.0 (sqrt 5.0))
3.0ms
(- (cos x) (cos y))
4.0ms
(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))
4.0ms
(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))

series592.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(- 3.0 (sqrt 5.0))
51.0ms
(- (cos x) (cos y))
269.0ms
(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))
271.0ms
(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))

simplify69.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
03011231
17521131
222501127
350011123

prune542.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
2.8b
(- (cos x) (cos y))
4.2b
(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
15×*-un-lft-identity
12×sqrt-prod
10×log-prod
9×add-cube-cbrt add-log-exp
8×pow1
7×add-exp-log
6×sub-neg associate-*r* associate-*l* add-cbrt-cube
5×log-pow difference-of-squares
4×distribute-rgt-in distribute-lft-in exp-sum
3×flip3-- sqrt-pow1 flip-- distribute-lft-out--
2×diff-log associate-*r/ unswap-sqr
1×exp-prod exp-to-pow times-frac pow1/2 rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod diff-cos
Counts
4 → 84
Calls
4 calls:
33.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
3.0ms
(- 3.0 (sqrt 5.0))
3.0ms
(- (cos x) (cos y))
4.0ms
(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))

series422.0ms

Counts
4 → 10
Calls
4 calls:
91.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
51.0ms
(- (cos x) (cos y))
280.0ms
(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))

simplify49.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04951017
11628941
25001940

prune582.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

regimes161.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05046
15046

end0.0ms

sample5.4s

Algorithm
intervals
Results
3.1s2758×body1280valid
1.3s1748×body640valid
388.0ms773×body320valid
333.0ms2327×body80valid
125.0ms394×body160valid