Details

Time bar (total: 29.2s)

sample374.0ms

Algorithm
intervals
Results
188.0ms81×body1280valid
91.0ms49×body640valid
26.0ms26×body320valid
21.0ms90×body80valid
10.0ms10×body160valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
03250
17450
219247
369947
4339047
done500147

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize38.0ms

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) 3.0) (fma (cos y) (/ (- 3.0 (sqrt 5.0)) 2.0) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
2.8b
(- (cos x) (cos y))

rewrite174.0ms

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:
17.0ms
(/ (/ (fma (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))) 2.0) 3.0) (fma (cos y) (/ (- 3.0 (sqrt 5.0)) 2.0) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0)))
103.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
22.0ms
(- 3.0 (sqrt 5.0))
10.0ms
(- (cos x) (cos y))

series1.4s

Counts
4 → 10
Calls
4 calls:
1.1s
(/ (/ (fma (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))) 2.0) 3.0) (fma (cos y) (/ (- 3.0 (sqrt 5.0)) 2.0) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0)))
119.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
82.0ms
(- (cos x) (cos y))

simplify828.0ms

Counts
260 → 260
Iterations

Useful iterations: done (810.0ms)

IterNodesCost
065811736
1157010876
done50009459

prune1.8s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize91.0ms

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)) (fabs (cbrt 5.0)))))
2.8b
(- (cos x) (cos y))

rewrite19.0ms

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)
0.0ms
(fma (* (cbrt 3.0) (cbrt 3.0)) (cbrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))
14.0ms
(- (cos x) (cos y))

series95.0ms

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)) (fabs (cbrt 5.0)))))
95.0ms
(- (cos x) (cos y))

simplify970.0ms

Counts
71 → 71
Iterations

Useful iterations: done (966.0ms)

IterNodesCost
01331015
1258902
2812720
done5000602

prune1.3s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (- (sin x) (/ (sin y) 16.0)))
0.7b
(cbrt (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
2.8b
(- (cos x) (cos y))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
34×*-un-lft-identity
27×prod-diff
26×add-cube-cbrt
12×cbrt-prod
10×sqrt-prod
8×add-log-exp
7×difference-of-squares
6×fma-neg
4×pow1 add-exp-log expm1-log1p-u cbrt-div flip3-- add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out--
2×sub-neg times-frac pow1/3 diff-log
1×diff-cos
Counts
4 → 103
Calls
4 calls:
27.0ms
(cbrt (- (sin x) (/ (sin y) 16.0)))
11.0ms
(cbrt (- (sin x) (/ (sin y) 16.0)))
9.0ms
(- 3.0 (sqrt 5.0))
10.0ms
(- (cos x) (cos y))

series470.0ms

Counts
4 → 10
Calls
4 calls:
204.0ms
(cbrt (- (sin x) (/ (sin y) 16.0)))
200.0ms
(cbrt (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
64.0ms
(- (cos x) (cos y))

simplify1.2s

Counts
113 → 113
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02241835
14761497
214181268
done50001137

prune1.1s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize82.0ms

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)) (fabs (cbrt 5.0)))))
2.8b
(- (cos x) (cos y))

rewrite13.0ms

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)
0.0ms
(fma (* (cbrt 3.0) (cbrt 3.0)) (cbrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))
9.0ms
(- (cos x) (cos y))

series92.0ms

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)) (fabs (cbrt 5.0)))))
92.0ms
(- (cos x) (cos y))

simplify1000.0ms

Counts
71 → 71
Iterations

Useful iterations: done (997.0ms)

IterNodesCost
0109808
1210695
2684531
done5000446

prune943.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes315.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify19.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04072
14972
25172
done5172

end0.0ms

sample15.0s

Algorithm
intervals
Results
8.0s2775×body1280valid
4.3s1838×body640valid
1.3s747×body320valid
821.0ms2292×body80valid
201.0ms348×body160valid