Details

Time bar (total: 14.9s)

sample109.0ms

Algorithm
intervals
Results
24.0ms50×body1280valid
20.0ms273×body80nan
12.0ms171×body80valid
9.0ms13×body2560valid
8.0ms27×body640valid
4.0ms17×body320valid
1.0ms9×body160valid

simplify65.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13319
25719
38019
49519
510219
610419
done10419

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.8b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.3b
(/ a (* b 3.0))
0.3b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
23.4b
(cos (- y (/ (* z t) 3.0)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
23×cos-sum
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×prod-diff
19×add-exp-log add-cbrt-cube
15×times-frac
9×pow1
5×prod-exp cbrt-unprod div-inv
4×cbrt-undiv expm1-log1p-u div-exp associate-/r* log1p-expm1-u associate-/l* add-log-exp
3×cos-diff associate-*r* pow-prod-down
2×frac-2neg clear-num
1×distribute-rgt-in sub-neg distribute-lft-in associate-*l* *-commutative
Counts
4 → 101
Calls
4 calls:
3.0ms
(/ (* z t) 3.0)
3.0ms
(/ a (* b 3.0))
16.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
18.0ms
(cos (- y (/ (* z t) 3.0)))

series209.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (* z t) 3.0)
27.0ms
(/ a (* b 3.0))
118.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
42.0ms
(cos (- y (/ (* z t) 3.0)))

simplify1.2s

Counts
113 → 113
Iterations

Useful iterations: 2 (280.0ms)

IterNodesCost
03272847
16782377
219331875
done50011875

prune522.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 16.8b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
0.3b
(/ a (* b 3.0))
26.3b
(cos (/ (* z t) 3.0))
26.4b
(sin (- (/ (* z t) 3.0)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
9×pow1
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u associate-*r/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×distribute-rgt-in distribute-lft-in times-frac associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv sub-neg div-exp prod-diff cos-mult sin-mult
1×neg-sub0 flip3-- frac-2neg associate-*l* sin-neg clear-num associate-/r* sin-diff *-commutative frac-sub flip-- div-inv sub-div
Counts
4 → 73
Calls
4 calls:
24.0ms
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
3.0ms
(/ a (* b 3.0))
1.0ms
(cos (/ (* z t) 3.0))
4.0ms
(sin (- (/ (* z t) 3.0)))

series335.0ms

Counts
4 → 12
Calls
4 calls:
268.0ms
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
29.0ms
(/ a (* b 3.0))
13.0ms
(cos (/ (* z t) 3.0))
25.0ms
(sin (- (/ (* z t) 3.0)))

simplify1.0s

Counts
85 → 85
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01961617
14811586
216971306
done50001304

prune605.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 16.7b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ a (* b 3.0))
0.3b
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
26.4b
(cos (* 0.3333333333333333 (* t z)))
26.4b
(sin (- (/ (* z t) 3.0)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
9×pow1
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u associate-*r/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×distribute-rgt-in distribute-lft-in times-frac associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv sub-neg div-exp prod-diff cos-mult sin-mult
1×neg-sub0 flip3-- frac-2neg associate-*l* sin-neg clear-num associate-/r* sin-diff *-commutative frac-sub flip-- div-inv sub-div
Counts
4 → 73
Calls
4 calls:
3.0ms
(/ a (* b 3.0))
44.0ms
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
4.0ms
(cos (* 0.3333333333333333 (* t z)))
4.0ms
(sin (- (/ (* z t) 3.0)))

series331.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ a (* b 3.0))
269.0ms
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
13.0ms
(cos (* 0.3333333333333333 (* t z)))
26.0ms
(sin (- (/ (* z t) 3.0)))

simplify969.0ms

Counts
85 → 85
Iterations

Useful iterations: done (966.0ms)

IterNodesCost
01961617
14811586
216981304
done50001302

prune631.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 14.9b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
0.3b
(* (/ 1 b) (/ a 3.0))
26.4b
(cos (* 0.3333333333333333 (* t z)))
26.4b
(sin (- (/ (* z t) 3.0)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
31×add-exp-log
25×times-frac
21×*-un-lft-identity add-cbrt-cube
19×add-cube-cbrt
16×associate-*r*
14×associate-*l*
11×pow1 prod-exp
8×div-exp
7×cbrt-unprod
6×unswap-sqr
5×associate-*r/
4×cbrt-undiv expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×distribute-rgt-in distribute-lft-in
2×sub-neg rec-exp 1-exp prod-diff cos-mult *-commutative div-inv sin-mult
1×neg-sub0 frac-times flip3-- associate-*l/ sin-neg sin-diff frac-sub flip-- sub-div
Counts
4 → 108
Calls
4 calls:
41.0ms
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
15.0ms
(* (/ 1 b) (/ a 3.0))
4.0ms
(cos (* 0.3333333333333333 (* t z)))
4.0ms
(sin (- (/ (* z t) 3.0)))

series330.0ms

Counts
4 → 12
Calls
4 calls:
264.0ms
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
20.0ms
(* (/ 1 b) (/ a 3.0))
12.0ms
(cos (* 0.3333333333333333 (* t z)))
32.0ms
(sin (- (/ (* z t) 3.0)))

simplify1.1s

Counts
120 → 120
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02642069
17051921
222441575
done50011573

prune705.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 14.9b

regimes3.4s

Accuracy

44.8% (2.4b remaining)

Error of 18.1b against oracle of 15.7b and baseline of 20.1b

bsearch3.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052126
164126
270126
done70126

end0.0ms

sample3.0s

Algorithm
intervals
Results
646.0ms9074×body80nan
638.0ms1557×body1280valid
381.0ms5663×body80valid
266.0ms924×body640valid
252.0ms373×body2560valid
88.0ms430×body320valid
28.0ms195×body160valid