Details

Time bar (total: 13.3s)

sample228.0ms

Algorithm
intervals
Results
131.0ms96×body1280valid
50.0ms62×body640valid
13.0ms23×body320valid
11.0ms69×body80valid
2.0ms6×body160valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
07430
119327
270427
3299427
4500127

prune17.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 2

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (fma (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))) 2.0) (fma (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y) (fma (/ (- (sqrt 5.0) 1.0) 2.0) (cos x) 1.0))) 3.0)
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
2.0b
(- (cos x) (cos y))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
152×add-sqr-sqrt
143×*-un-lft-identity
137×add-cube-cbrt
130×times-frac
105×prod-diff
41×distribute-rgt-in distribute-lft-in
14×sqrt-prod
13×associate-/l*
11×add-exp-log add-cbrt-cube div-inv
8×add-log-exp
6×pow1 fma-neg associate-*r* associate-*l*
5×difference-of-squares
4×expm1-log1p-u sub-neg log1p-expm1-u
3×cbrt-undiv flip3-- div-exp associate-/r* flip-- distribute-lft-out--
2×diff-log associate-*r/ unswap-sqr
1×frac-2neg pow-prod-down prod-exp clear-num *-commutative cbrt-unprod diff-cos associate-/l/
Counts
4 → 250
Calls
4 calls:
6.0ms
(/ (/ (fma (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))) 2.0) (fma (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y) (fma (/ (- (sqrt 5.0) 1.0) 2.0) (cos x) 1.0))) 3.0)
14.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms
(- 3.0 (sqrt 5.0))
5.0ms
(- (cos x) (cos y))

series1.1s

Counts
4 → 10
Calls
4 calls:
958.0ms
(/ (/ (fma (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))) 2.0) (fma (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y) (fma (/ (- (sqrt 5.0) 1.0) 2.0) (cos x) 1.0))) 3.0)
87.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
56.0ms
(- (cos x) (cos y))

simplify82.0ms

Algorithm
egg-herbie
Counts
260 → 260
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
014067067
150025887

prune1.0s

Filtered
260 candidates to 139 candidates (53.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New25010260
Fresh011
Picked101
Done000
Total25111262

Merged error: 0.0b

Counts
262 → 11

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fma (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))) 2.0) (/ (/ 1 (fma (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y) (fma (/ (- (sqrt 5.0) 1.0) 2.0) (cos x) 1.0))) 3.0))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
2.0b
(- (cos x) (cos y))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
158×add-sqr-sqrt
138×*-un-lft-identity
131×add-cube-cbrt
126×times-frac
105×prod-diff
49×associate-*r*
41×distribute-rgt-in distribute-lft-in
21×add-exp-log
15×add-cbrt-cube
14×sqrt-prod
10×div-inv
9×associate-*l*
8×pow1 add-log-exp
6×fma-neg div-exp prod-exp unswap-sqr
5×difference-of-squares
4×expm1-log1p-u sub-neg cbrt-unprod log1p-expm1-u
3×cbrt-undiv flip3-- associate-*r/ flip-- distribute-lft-out--
2×diff-log pow-prod-down *-commutative
1×rec-exp 1-exp diff-cos
Counts
4 → 248
Calls
4 calls:
14.0ms
(* (fma (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))) 2.0) (/ (/ 1 (fma (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y) (fma (/ (- (sqrt 5.0) 1.0) 2.0) (cos x) 1.0))) 3.0))
16.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms
(- 3.0 (sqrt 5.0))
5.0ms
(- (cos x) (cos y))

series1.1s

Counts
4 → 10
Calls
4 calls:
970.0ms
(* (fma (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))) 2.0) (/ (/ 1 (fma (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y) (fma (/ (- (sqrt 5.0) 1.0) 2.0) (cos x) 1.0))) 3.0))
90.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
58.0ms
(- (cos x) (cos y))

simplify81.0ms

Algorithm
egg-herbie
Counts
258 → 258
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
015026211
150015037

prune989.0ms

Filtered
258 candidates to 135 candidates (52.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New2553258
Fresh1910
Picked101
Done000
Total25712269

Merged error: 0.0b

Counts
269 → 12

localize52.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 5.0)
1.0b
(cbrt 5.0)
2.0b
(fma (* (cbrt 3.0) (cbrt 3.0)) (cbrt 3.0) (- (* (sqrt (cbrt 5.0)) (sqrt (* (cbrt 5.0) (cbrt 5.0))))))
2.0b
(- (cos x) (cos y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
13×add-cube-cbrt
9×prod-diff
6×cbrt-prod add-log-exp
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×fma-neg
2×pow1/3
1×sub-neg flip3-- diff-log flip-- fma-udef diff-cos distribute-lft-out-- difference-of-squares
Counts
4 → 65
Calls
4 calls:
1.0ms
(cbrt 5.0)
1.0ms
(cbrt 5.0)
1.0ms
(fma (* (cbrt 3.0) (cbrt 3.0)) (cbrt 3.0) (- (* (sqrt (cbrt 5.0)) (sqrt (* (cbrt 5.0) (cbrt 5.0))))))
5.0ms
(- (cos x) (cos y))

series57.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(cbrt 5.0)
0.0ms
(cbrt 5.0)
0.0ms
(fma (* (cbrt 3.0) (cbrt 3.0)) (cbrt 3.0) (- (* (sqrt (cbrt 5.0)) (sqrt (* (cbrt 5.0) (cbrt 5.0))))))
57.0ms
(- (cos x) (cos y))

simplify106.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0257683
1693549
23378516
35001494

prune597.0ms

Filtered
71 candidates to 52 candidates (73.2%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New70171
Fresh11011
Picked011
Done000
Total711283

Merged error: 0.0b

Counts
83 → 12

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (fma (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))) 2.0) (fma (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y) (fma (/ (- (sqrt 5.0) 1.0) 2.0) (cos x) 1.0))) (/ 1 3.0))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
2.0b
(- (cos x) (cos y))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
141×add-sqr-sqrt
117×*-un-lft-identity
109×add-cube-cbrt
105×prod-diff
80×times-frac
41×distribute-rgt-in distribute-lft-in
28×add-exp-log
19×associate-*r* associate-*l*
18×add-cbrt-cube
14×sqrt-prod
9×prod-exp
8×pow1 div-exp div-inv add-log-exp unswap-sqr
6×fma-neg
5×cbrt-unprod difference-of-squares
4×cbrt-undiv expm1-log1p-u sub-neg log1p-expm1-u
3×flip3-- associate-*r/ flip-- distribute-lft-out--
2×rec-exp diff-log 1-exp pow-prod-down *-commutative
1×frac-times associate-*l/ un-div-inv diff-cos
Counts
4 → 237
Calls
4 calls:
11.0ms
(* (/ (fma (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))) 2.0) (fma (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y) (fma (/ (- (sqrt 5.0) 1.0) 2.0) (cos x) 1.0))) (/ 1 3.0))
15.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms
(- 3.0 (sqrt 5.0))
6.0ms
(- (cos x) (cos y))

series1.1s

Counts
4 → 10
Calls
4 calls:
973.0ms
(* (/ (fma (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))) 2.0) (fma (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y) (fma (/ (- (sqrt 5.0) 1.0) 2.0) (cos x) 1.0))) (/ 1 3.0))
88.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
57.0ms
(- (cos x) (cos y))

simplify81.0ms

Algorithm
egg-herbie
Counts
247 → 247
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
014145897
150014588

prune816.0ms

Filtered
247 candidates to 119 candidates (48.2%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2461247
Fresh3710
Picked011
Done011
Total24910259

Merged error: 0.0b

Counts
259 → 10

regimes187.0ms

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
05749
15949
25949

end0.0ms

sample5.3s

Algorithm
intervals
Results
3.0s2694×body1280valid
1.3s1836×body640valid
388.0ms780×body320valid
355.0ms2319×body80valid
126.0ms371×body160valid