Details

Time bar (total: 15.8s)

sample100.0ms

Algorithm
intervals
Results
21.0ms52×body1280valid
19.0ms281×body80nan
10.0ms163×body80valid
9.0ms33×body640valid
8.0ms12×body2560valid
4.0ms18×body320valid
1.0ms7×body160valid

simplify65.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13319
25719
38019
49519
510219
610419
done10419

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.6b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.2b
(/ a (* b 3.0))
0.3b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
24.2b
(cos (- y (/ (* z t) 3.0)))

rewrite39.0ms

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))
15.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
14.0ms
(cos (- y (/ (* z t) 3.0)))

series180.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ (* z t) 3.0)
20.0ms
(/ a (* b 3.0))
101.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
41.0ms
(cos (- y (/ (* z t) 3.0)))

simplify1.1s

Counts
113 → 113
Iterations

Useful iterations: 2 (267.0ms)

IterNodesCost
03272847
16782377
219331875
done50011875

prune486.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 18.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ a (* b 3.0))
0.3b
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
29.9b
(cos (/ (* z t) 3.0))
30.4b
(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:
3.0ms
(/ a (* b 3.0))
24.0ms
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
1.0ms
(cos (/ (* z t) 3.0))
4.0ms
(sin (- (/ (* z t) 3.0)))

series300.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ a (* b 3.0))
241.0ms
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
11.0ms
(cos (/ (* z t) 3.0))
27.0ms
(sin (- (/ (* z t) 3.0)))

simplify952.0ms

Counts
85 → 85
Iterations

Useful iterations: done (949.0ms)

IterNodesCost
01961617
14811586
216921306
done50001304

prune567.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 16.7b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ a (* b 3.0))
0.3b
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (* 0.3333333333333333 (* t z)))))))
29.9b
(cos (/ (* z t) 3.0))
30.4b
(sin (- (* 0.3333333333333333 (* t z))))

rewrite55.0ms

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))
41.0ms
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (* 0.3333333333333333 (* t z)))))))
2.0ms
(cos (/ (* z t) 3.0))
7.0ms
(sin (- (* 0.3333333333333333 (* t z))))

series300.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ a (* b 3.0))
244.0ms
(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (* 0.3333333333333333 (* t z)))))))
11.0ms
(cos (/ (* z t) 3.0))
24.0ms
(sin (- (* 0.3333333333333333 (* t z))))

simplify1.2s

Counts
85 → 85
Iterations

Useful iterations: 2 (204.0ms)

IterNodesCost
01931617
14771586
216911300
done50001300

prune608.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 16.6b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (- (* (cos y) (log1p (expm1 (cos (/ (* z t) 3.0))))) (* (sin y) (sin (- (* 0.3333333333333333 (* t z)))))))
0.6b
(expm1 (cos (/ (* z t) 3.0)))
29.9b
(cos (/ (* z t) 3.0))
30.4b
(sin (- (* 0.3333333333333333 (* t z))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity log1p-expm1-u
4×expm1-log1p-u add-log-exp
3×distribute-rgt-in distribute-lft-in associate-*r* pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/ prod-diff
1×neg-sub0 expm1-log1p flip3-- associate-*l* sin-neg sin-diff *-commutative flip-- expm1-udef
Counts
4 → 59
Calls
4 calls:
17.0ms
(* (* 2.0 (sqrt x)) (- (* (cos y) (log1p (expm1 (cos (/ (* z t) 3.0))))) (* (sin y) (sin (- (* 0.3333333333333333 (* t z)))))))
0.0ms
(expm1 (cos (/ (* z t) 3.0)))
2.0ms
(cos (/ (* z t) 3.0))
5.0ms
(sin (- (* 0.3333333333333333 (* t z))))

series347.0ms

Counts
4 → 12
Calls
4 calls:
278.0ms
(* (* 2.0 (sqrt x)) (- (* (cos y) (log1p (expm1 (cos (/ (* z t) 3.0))))) (* (sin y) (sin (- (* 0.3333333333333333 (* t z)))))))
35.0ms
(expm1 (cos (/ (* z t) 3.0)))
11.0ms
(cos (/ (* z t) 3.0))
23.0ms
(sin (- (* 0.3333333333333333 (* t z))))

simplify2.8s

Counts
71 → 71
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
01421526
13491424
212011157
348511149
done50001149

prune406.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 16.6b

regimes3.1s

Accuracy

23.8% (3.6b remaining)

Error of 19.2b against oracle of 15.6b and baseline of 20.3b

bsearch6.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
046118
16088
26888
done6888

end0.0ms

sample3.0s

Algorithm
intervals
Results
668.0ms1612×body1280valid
664.0ms9141×body80nan
374.0ms5667×body80valid
271.0ms930×body640valid
247.0ms364×body2560valid
86.0ms413×body320valid
27.0ms188×body160valid