Details

Time bar (total: 12.4s)

sample192.0ms

Algorithm
intervals
Results
109.0ms103×body1280valid
37.0ms48×body640valid
11.0ms23×body320valid
10.0ms72×body80valid
3.0ms10×body160valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
07430
118230
265730
3272730
4500130

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize32.0ms

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))
1.1b
(- (cos x) (cos y))

rewrite39.0ms

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:
17.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
11.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms
(- 3.0 (sqrt 5.0))
4.0ms
(- (cos x) (cos y))

series281.0ms

Counts
4 → 10
Calls
4 calls:
136.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
89.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
55.0ms
(- (cos x) (cos y))

simplify64.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06221094
126431002
250031002

prune715.0ms

Filtered
104 candidates to 70 candidates (67.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.4b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (/ (+ (* 3.0 3.0) (- 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))))
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)))
1.1b
(- (cos x) (cos y))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
16×add-exp-log *-un-lft-identity add-cbrt-cube
14×associate-*r/
12×associate-*r*
11×pow1
10×add-cube-cbrt
8×flip3-- flip--
7×associate-*l*
6×add-log-exp
5×sub-neg times-frac prod-exp cbrt-unprod difference-of-squares
4×distribute-rgt-in frac-times distribute-lft-in pow-prod-down associate-*l/ sqrt-prod associate-/r/
3×flip3-+ flip-+ associate-/l* distribute-lft-out--
2×cbrt-undiv div-exp frac-add *-commutative associate-/l/ unswap-sqr
1×frac-2neg diff-log clear-num associate-/r* div-inv diff-cos
Counts
4 → 106
Calls
4 calls:
11.0ms
(/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (/ (+ (* 3.0 3.0) (- 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))))
17.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
10.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms
(- (cos x) (cos y))

series2.0s

Counts
4 → 12
Calls
4 calls:
1.7s
(/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (/ (+ (* 3.0 3.0) (- 5.0)) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))))
130.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
86.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
54.0ms
(- (cos x) (cos y))

simplify43.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010752447
150012151

prune746.0ms

Filtered
118 candidates to 83 candidates (70.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
0.6b
(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
0.6b
(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
1.1b
(- (cos x) (cos y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt cbrt-div *-un-lft-identity associate-*r/ add-log-exp
4×pow1 add-exp-log add-cube-cbrt flip3-- add-cbrt-cube flip--
3×cbrt-prod pow1/3
1×sub-neg diff-log diff-cos distribute-lft-out-- difference-of-squares
Counts
4 → 48
Calls
4 calls:
8.0ms
(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
8.0ms
(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
8.0ms
(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
4.0ms
(- (cos x) (cos y))

series837.0ms

Counts
4 → 12
Calls
4 calls:
294.0ms
(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
252.0ms
(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
235.0ms
(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
56.0ms
(- (cos x) (cos y))

simplify52.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
0243625
1598573
21810557
35001554

prune524.0ms

Filtered
60 candidates to 49 candidates (81.7%)
Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.1b
(- (cos x) (cos y))
1.1b
(- (cos x) (cos y))
1.1b
(- (cos x) (cos y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
15×*-un-lft-identity
10×add-log-exp
7×add-cube-cbrt
6×pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×sub-neg difference-of-squares
4×flip3-- sqrt-prod flip-- distribute-lft-out--
3×diff-log diff-cos
2×distribute-rgt-in distribute-lft-in associate-*r/ unswap-sqr
1×times-frac pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 76
Calls
4 calls:
11.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms
(- (cos x) (cos y))
4.0ms
(- (cos x) (cos y))
4.0ms
(- (cos x) (cos y))

series252.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
55.0ms
(- (cos x) (cos y))
56.0ms
(- (cos x) (cos y))
51.0ms
(- (cos x) (cos y))

simplify113.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0270600
1918559
24188555
35001555

prune572.0ms

Filtered
88 candidates to 61 candidates (69.3%)
Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes236.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05151
15151

end0.0ms

sample5.5s

Algorithm
intervals
Results
3.1s2743×body1280valid
1.3s1852×body640valid
366.0ms744×body320valid
353.0ms2313×body80valid
111.0ms348×body160valid