Details

Time bar (total: 11.3s)

sample209.0ms

Algorithm
intervals
Results
115.0ms105×body1280valid
42.0ms52×body640valid
10.0ms76×body80valid
8.0ms15×body320valid
3.0ms8×body160valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
07430
119327
270427
3299427
4500127

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize41.0ms

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))

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
184×add-sqr-sqrt
183×prod-diff
172×*-un-lft-identity
164×add-cube-cbrt
110×times-frac
82×distribute-rgt-in distribute-lft-in
14×sqrt-prod
12×associate-*r* div-inv
11×pow1 add-exp-log add-cbrt-cube
10×associate-*r/
9×flip3-- flip--
8×add-log-exp
7×associate-*l* difference-of-squares
6×sub-neg fma-neg
4×expm1-log1p-u frac-times pow-prod-down prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out--
2×diff-log associate-*l/ *-commutative unswap-sqr
1×diff-cos
Counts
4 → 291
Calls
4 calls:
114.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
65.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
8.0ms
(- 3.0 (sqrt 5.0))
9.0ms
(- (cos x) (cos y))

series294.0ms

Counts
4 → 10
Calls
4 calls:
130.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
100.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
63.0ms
(- (cos x) (cos y))

simplify95.0ms

Algorithm
egg-herbie
Counts
301 → 301
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
017307731
150016094

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (- 3.0 (sqrt 5.0)))
1.0b
(cbrt (- 3.0 (sqrt 5.0)))
1.0b
(* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))
1.3b
(- (cos x) (cos y))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
48×cbrt-prod
41×*-un-lft-identity
21×add-cube-cbrt
17×difference-of-squares
16×cbrt-div
13×swap-sqr
11×pow1
9×flip3-- associate-*r* associate-*l* prod-diff flip-- distribute-lft-out--
8×pow1/3 sqrt-prod
6×add-exp-log add-log-exp
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u unswap-sqr
3×fma-neg
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 sub-neg pow-plus diff-log prod-exp *-commutative cbrt-unprod diff-cos
Counts
4 → 128
Calls
4 calls:
5.0ms
(cbrt (- 3.0 (sqrt 5.0)))
6.0ms
(cbrt (- 3.0 (sqrt 5.0)))
49.0ms
(* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))
12.0ms
(- (cos x) (cos y))

series55.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(cbrt (- 3.0 (sqrt 5.0)))
0.0ms
(cbrt (- 3.0 (sqrt 5.0)))
0.0ms
(* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))
55.0ms
(- (cos x) (cos y))

simplify166.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 3 (154.0ms)

IterNodesCost
02981220
19081080
245961002
35001993

prune813.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (- 3.0 (sqrt 5.0)))
1.0b
(cbrt (- 3.0 (sqrt 5.0)))
1.0b
(* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))
1.3b
(- (cos x) (cos y))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
48×cbrt-prod
41×*-un-lft-identity
21×add-cube-cbrt
17×difference-of-squares
16×cbrt-div
13×swap-sqr
11×pow1
9×flip3-- associate-*r* associate-*l* prod-diff flip-- distribute-lft-out--
8×pow1/3 sqrt-prod
6×add-exp-log add-log-exp
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u unswap-sqr
3×fma-neg
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 sub-neg pow-plus diff-log prod-exp *-commutative cbrt-unprod diff-cos
Counts
4 → 128
Calls
4 calls:
6.0ms
(cbrt (- 3.0 (sqrt 5.0)))
5.0ms
(cbrt (- 3.0 (sqrt 5.0)))
50.0ms
(* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))
12.0ms
(- (cos x) (cos y))

series55.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(cbrt (- 3.0 (sqrt 5.0)))
0.0ms
(cbrt (- 3.0 (sqrt 5.0)))
0.0ms
(* (cbrt (- 3.0 (sqrt 5.0))) (cbrt (- 3.0 (sqrt 5.0))))
55.0ms
(- (cos x) (cos y))

simplify167.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 3 (155.0ms)

IterNodesCost
02981217
19081077
245961005
35001996

prune965.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize63.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 16.0)
1.0b
(cbrt 16.0)
1.0b
(- 3.0 (sqrt 5.0))
1.3b
(- (cos x) (cos y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
30×*-un-lft-identity
27×prod-diff
26×add-cube-cbrt
10×sqrt-prod
8×add-log-exp
6×cbrt-prod fma-neg
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×difference-of-squares
2×sub-neg flip3-- pow1/3 diff-log flip-- distribute-lft-out--
1×diff-cos
Counts
4 → 93
Calls
4 calls:
1.0ms
(cbrt 16.0)
1.0ms
(cbrt 16.0)
9.0ms
(- 3.0 (sqrt 5.0))
9.0ms
(- (cos x) (cos y))

series60.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(cbrt 16.0)
0.0ms
(cbrt 16.0)
0.0ms
(- 3.0 (sqrt 5.0))
59.0ms
(- (cos x) (cos y))

simplify53.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0414968
11249719
25001700

prune730.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

regimes268.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07178
17678
27878
37878

end0.0ms

sample5.6s

Algorithm
intervals
Results
3.1s2702×body1280valid
1.3s1854×body640valid
383.0ms2374×body80valid
375.0ms721×body320valid
123.0ms349×body160valid