Details

Time bar (total: 11.6s)

sample191.0ms

Algorithm
intervals
Results
116.0ms105×body1280valid
34.0ms52×body640valid
10.0ms76×body80valid
7.0ms15×body320valid
2.0ms8×body160valid

simplify53.0ms

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)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
1.3b
(- (cos x) (cos y))

rewrite166.0ms

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:
99.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
51.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
7.0ms
(- 3.0 (sqrt 5.0))
7.0ms
(- (cos x) (cos y))

series245.0ms

Counts
4 → 10
Calls
4 calls:
116.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
78.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
50.0ms
(- (cos x) (cos y))

simplify66.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06221094
126431002
250031002

prune527.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize41.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0))))
1.0b
(- 3.0 (sqrt 5.0))
1.3b
(- (cos x) (cos y))
4.0b
(/ (* (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0))) (+ (sin x) (/ (sin y) 16.0)))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
26×associate-*r/
19×add-sqr-sqrt
17×*-un-lft-identity associate-/l/
15×add-exp-log add-cbrt-cube
14×frac-times
12×flip3-- frac-sub flip-- sin-mult
9×add-cube-cbrt associate-*l/
8×add-log-exp
6×pow1 associate-*l*
5×sqrt-prod
4×sub-neg times-frac associate-*r* prod-exp associate-/r* cbrt-unprod difference-of-squares
3×cbrt-undiv div-exp
2×distribute-rgt-in distribute-lft-in diff-log associate-/r/ distribute-lft-out distribute-lft-out-- unswap-sqr
1×frac-2neg flip3-+ pow-prod-down clear-num *-commutative flip-+ div-inv diff-cos associate-/l*
Counts
4 → 106
Calls
4 calls:
46.0ms
(* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0))))
6.0ms
(- 3.0 (sqrt 5.0))
9.0ms
(- (cos x) (cos y))
103.0ms
(/ (* (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0))) (+ (sin x) (/ (sin y) 16.0)))

series342.0ms

Counts
4 → 10
Calls
4 calls:
96.0ms
(* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0))))
0.0ms
(- 3.0 (sqrt 5.0))
46.0ms
(- (cos x) (cos y))
200.0ms
(/ (* (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0))) (+ (sin x) (/ (sin y) 16.0)))

simplify95.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
07661763
137551524
250031519

prune747.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))
0.4b
(* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0))))
1.3b
(- (cos x) (cos y))
4.0b
(/ (* (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0))) (+ (sin x) (/ (sin y) 16.0)))

rewrite278.0ms

Algorithm
rewrite-expression-head
Rules
46×associate-*r/
27×frac-times
21×add-sqr-sqrt frac-sub sin-mult
20×add-exp-log flip3-- add-cbrt-cube flip--
18×*-un-lft-identity
17×associate-*l/ associate-/l/
11×pow1
10×add-cube-cbrt associate-*r*
7×associate-*l* prod-exp cbrt-unprod
6×add-log-exp
5×sub-neg times-frac
4×distribute-rgt-in distribute-lft-in pow-prod-down associate-/r* sqrt-prod difference-of-squares
3×cbrt-undiv div-exp
2×associate-/r/ *-commutative distribute-lft-out distribute-lft-out-- unswap-sqr
1×frac-2neg flip3-+ diff-log clear-num flip-+ div-inv diff-cos associate-/l*
Counts
4 → 133
Calls
4 calls:
113.0ms
(* (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))
47.0ms
(* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0))))
7.0ms
(- (cos x) (cos y))
106.0ms
(/ (* (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0))) (+ (sin x) (/ (sin y) 16.0)))

series501.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(* (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))
100.0ms
(* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0))))
47.0ms
(- (cos x) (cos y))
202.0ms
(/ (* (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0))) (+ (sin x) (/ (sin y) 16.0)))

simplify127.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
08962774
148842432
250022432

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize44.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0))))
1.3b
(- (cos x) (cos y))
1.6b
(- (sqrt 3.0) (sqrt (sqrt 5.0)))
4.0b
(/ (* (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0))) (+ (sin x) (/ (sin y) 16.0)))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
26×associate-*r/
19×*-un-lft-identity
17×associate-/l/
15×add-exp-log sqrt-prod add-cbrt-cube
14×frac-times
12×flip3-- frac-sub flip-- sin-mult
9×add-cube-cbrt associate-*l/
8×add-log-exp difference-of-squares
6×pow1 associate-*l*
4×sub-neg times-frac associate-*r* prod-exp associate-/r* cbrt-unprod
3×cbrt-undiv div-exp distribute-lft-out--
2×distribute-rgt-in distribute-lft-in diff-log associate-/r/ distribute-lft-out unswap-sqr
1×frac-2neg flip3-+ pow-prod-down clear-num *-commutative flip-+ div-inv diff-cos associate-/l*
Counts
4 → 111
Calls
4 calls:
47.0ms
(* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0))))
7.0ms
(- (cos x) (cos y))
12.0ms
(- (sqrt 3.0) (sqrt (sqrt 5.0)))
103.0ms
(/ (* (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0))) (+ (sin x) (/ (sin y) 16.0)))

series357.0ms

Counts
4 → 10
Calls
4 calls:
104.0ms
(* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0))))
47.0ms
(- (cos x) (cos y))
0.0ms
(- (sqrt 3.0) (sqrt (sqrt 5.0)))
206.0ms
(/ (* (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0))) (+ (sin x) (/ (sin y) 16.0)))

simplify106.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
07681847
137581604
250021599

prune821.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

regimes204.0ms

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
05655
15655

end0.0ms

sample5.3s

Algorithm
intervals
Results
3.0s2702×body1280valid
1.3s1854×body640valid
354.0ms721×body320valid
316.0ms2374×body80valid
106.0ms349×body160valid