Details

Time bar (total: 14.4s)

sample236.0ms

Algorithm
intervals
Results
110.0ms80×body1280valid
61.0ms61×body640valid
28.0ms88×body80valid
14.0ms19×body320valid
4.0ms8×body160valid

simplify51.0ms

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: 0.5b

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))
2.9b
(- (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:
51.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
30.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
3.0ms
(- 3.0 (sqrt 5.0))
3.0ms
(- (cos x) (cos y))

series271.0ms

Counts
4 → 10
Calls
4 calls:
131.0ms
(* (* (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)))
0.0ms
(- 3.0 (sqrt 5.0))
54.0ms
(- (cos x) (cos y))

simplify66.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06221094
126431002
250031002

prune525.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize43.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
2.9b
(- (cos x) (cos y))
3.4b
(/ (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (* (sin y) (sin y)) (* (/ (sin x) 16.0) (/ (sin x) 16.0)))) (+ (sin y) (/ (sin x) 16.0)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×associate-*r/
19×*-un-lft-identity
17×associate-/l/
15×add-exp-log add-cbrt-cube
13×frac-times
12×flip3-- flip--
9×add-cube-cbrt frac-sub sin-mult
8×add-log-exp
6×pow1 associate-*r* associate-*l*
5×times-frac associate-*l/ sqrt-prod difference-of-squares
4×sub-neg 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 → 105
Calls
4 calls:
30.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
3.0ms
(- 3.0 (sqrt 5.0))
3.0ms
(- (cos x) (cos y))
56.0ms
(/ (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (* (sin y) (sin y)) (* (/ (sin x) 16.0) (/ (sin x) 16.0)))) (+ (sin y) (/ (sin x) 16.0)))

series364.0ms

Counts
4 → 10
Calls
4 calls:
90.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
56.0ms
(- (cos x) (cos y))
219.0ms
(/ (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (* (sin y) (sin y)) (* (/ (sin x) 16.0) (/ (sin x) 16.0)))) (+ (sin y) (/ (sin x) 16.0)))

simplify88.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
07171563
135041337
250021336

prune703.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ (sin y) (/ (sin x) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
1.4b
(/ (- (* (sin y) (sin y)) (* (/ (sin x) 16.0) (/ (sin x) 16.0))) (cbrt (+ (sin y) (/ (sin x) 16.0))))
2.9b
(- (cos x) (cos y))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
29×add-sqr-sqrt
28×times-frac
24×cbrt-prod
23×add-cube-cbrt
11×difference-of-squares
8×add-log-exp
7×associate-/r*
6×add-exp-log distribute-lft-out
5×add-cbrt-cube associate-/l/
4×pow1 cbrt-div associate-/l*
3×flip3-- frac-sub flip-- sin-mult
2×sub-neg flip3-+ diff-log associate-/r/ flip-+ distribute-lft-out--
1×cbrt-undiv frac-times frac-2neg pow1/3 div-sub associate-*r/ div-exp associate-*l/ clear-num sqrt-prod div-inv diff-cos
Counts
4 → 103
Calls
4 calls:
6.0ms
(cbrt (+ (sin y) (/ (sin x) 16.0)))
3.0ms
(- 3.0 (sqrt 5.0))
22.0ms
(/ (- (* (sin y) (sin y)) (* (/ (sin x) 16.0) (/ (sin x) 16.0))) (cbrt (+ (sin y) (/ (sin x) 16.0))))
3.0ms
(- (cos x) (cos y))

series357.0ms

Counts
4 → 10
Calls
4 calls:
128.0ms
(cbrt (+ (sin y) (/ (sin x) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
171.0ms
(/ (- (* (sin y) (sin y)) (* (/ (sin x) 16.0) (/ (sin x) 16.0))) (cbrt (+ (sin y) (/ (sin x) 16.0))))
57.0ms
(- (cos x) (cos y))

simplify60.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
05861811
118171733
250011712

prune877.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ (- (* (sin y) (sin y)) (* (/ (sin x) 16.0) (/ (sin x) 16.0))) (cbrt (cbrt (+ (sin y) (/ (sin x) 16.0)))))
1.0b
(* (/ 1 (* (cbrt (cbrt (+ (sin y) (/ (sin x) 16.0)))) (cbrt (cbrt (+ (sin y) (/ (sin x) 16.0)))))) (/ (- (* (sin y) (sin y)) (* (/ (sin x) 16.0) (/ (sin x) 16.0))) (cbrt (cbrt (+ (sin y) (/ (sin x) 16.0))))))
1.0b
(- 3.0 (sqrt 5.0))
2.9b
(- (cos x) (cos y))

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
108×cbrt-prod
100×times-frac
90×add-sqr-sqrt
81×*-un-lft-identity
55×add-cube-cbrt
51×add-exp-log
46×associate-*r*
32×cbrt-div
24×difference-of-squares
20×prod-exp
19×add-cbrt-cube
16×div-exp
15×associate-*l*
12×associate-/r/ unswap-sqr
10×associate-/r*
9×distribute-lft-out
8×cbrt-undiv flip3-+ cbrt-unprod flip-+ add-log-exp
6×pow1 frac-times
5×associate-/l/
4×rec-exp 1-exp associate-*r/ associate-*l/ associate-/l*
3×flip3-- frac-sub flip-- div-inv sin-mult
2×sub-neg diff-log distribute-lft-out--
1×frac-2neg div-sub pow-prod-down clear-num sqrt-prod *-commutative diff-cos
Counts
4 → 209
Calls
4 calls:
24.0ms
(/ (- (* (sin y) (sin y)) (* (/ (sin x) 16.0) (/ (sin x) 16.0))) (cbrt (cbrt (+ (sin y) (/ (sin x) 16.0)))))
184.0ms
(* (/ 1 (* (cbrt (cbrt (+ (sin y) (/ (sin x) 16.0)))) (cbrt (cbrt (+ (sin y) (/ (sin x) 16.0)))))) (/ (- (* (sin y) (sin y)) (* (/ (sin x) 16.0) (/ (sin x) 16.0))) (cbrt (cbrt (+ (sin y) (/ (sin x) 16.0))))))
3.0ms
(- 3.0 (sqrt 5.0))
3.0ms
(- (cos x) (cos y))

series405.0ms

Counts
4 → 10
Calls
4 calls:
175.0ms
(/ (- (* (sin y) (sin y)) (* (/ (sin x) 16.0) (/ (sin x) 16.0))) (cbrt (cbrt (+ (sin y) (/ (sin x) 16.0)))))
173.0ms
(* (/ 1 (* (cbrt (cbrt (+ (sin y) (/ (sin x) 16.0)))) (cbrt (cbrt (+ (sin y) (/ (sin x) 16.0)))))) (/ (- (* (sin y) (sin y)) (* (/ (sin x) 16.0) (/ (sin x) 16.0))) (cbrt (cbrt (+ (sin y) (/ (sin x) 16.0))))))
0.0ms
(- 3.0 (sqrt 5.0))
56.0ms
(- (cos x) (cos y))

simplify138.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
011406076
149125546
250025441

prune1.8s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

regimes251.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06373
16373

end0.0ms

sample7.6s

Algorithm
intervals
Results
4.1s2716×body1280valid
1.8s1820×body640valid
652.0ms2349×body80valid
552.0ms751×body320valid
200.0ms364×body160valid