Details

Time bar (total: 21.8s)

sample198.0ms

Algorithm
intervals
Results
63.0ms331×body80nan
30.0ms45×body1280valid
21.0ms193×body80valid
18.0ms38×body640valid
15.0ms12×body2560valid
3.0ms10×body320valid
0.0ms2×body160valid

simplify83.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
018428
132428
254428
376428
489428
592428
done92428

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.4b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.2b
(/ a (* b 3.0))
0.2b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
24.6b
(cos (- y (/ (* z t) 3.0)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube add-exp-log
9×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
6×times-frac
5×prod-exp cbrt-unprod
4×cbrt-undiv associate-/r* div-exp associate-/l* add-log-exp
3×cos-diff associate-*r* pow-prod-down
2×cos-sum clear-num frac-2neg div-inv
1×distribute-rgt-in sub-neg distribute-lft-in associate-*l* *-commutative
Counts
4 → 72
Calls
4 calls:
7.0ms
(/ (* z t) 3.0)
6.0ms
(/ a (* b 3.0))
33.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
18.0ms
(cos (- y (/ (* z t) 3.0)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (* z t) 3.0)
27.0ms
(/ a (* b 3.0))
140.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
51.0ms
(cos (- y (/ (* z t) 3.0)))

simplify1.2s

Counts
84 → 84
Iterations

Useful iterations: done (1.2s)

IterNodesCost
017020478
142019143
2196518583
done500018343

prune691.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 15.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.2b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.3b
(/ (/ a b) 3.0)
24.6b
(cos (- y (/ (* z t) 3.0)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
49×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
19×add-cbrt-cube add-exp-log
14×associate-/l*
9×pow1
6×associate-/r* div-inv
5×cbrt-undiv div-exp
4×prod-exp cbrt-unprod add-log-exp
3×cos-diff associate-*r* pow-prod-down
2×cos-sum clear-num frac-2neg
1×distribute-rgt-in sub-neg distribute-lft-in associate-*l* *-commutative associate-/l/
Counts
4 → 121
Calls
4 calls:
11.0ms
(/ (* z t) 3.0)
32.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
13.0ms
(/ (/ a b) 3.0)
22.0ms
(cos (- y (/ (* z t) 3.0)))

series250.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (* z t) 3.0)
141.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
27.0ms
(/ (/ a b) 3.0)
55.0ms
(cos (- y (/ (* z t) 3.0)))

simplify1.4s

Counts
133 → 133
Iterations

Useful iterations: done (1.4s)

IterNodesCost
026737603
166635174
2321634493
done500034133

prune1.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 15.2b

localize76.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ a b) 3.0)
2.6b
(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
27.7b
(sin (/ (* z t) 3.0))
27.8b
(cos (/ (* z t) 3.0))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
46×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
21×add-cbrt-cube add-exp-log
16×pow1
13×associate-/l*
8×pow-prod-down prod-exp cbrt-unprod
5×div-inv
4×add-log-exp
3×cbrt-undiv associate-/r* div-exp
1×clear-num frac-2neg associate-*r* associate-*l* associate-*l/ *-commutative sin-mult associate-/l/
Counts
4 → 107
Calls
4 calls:
14.0ms
(/ (/ a b) 3.0)
40.0ms
(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
4.0ms
(sin (/ (* z t) 3.0))
4.0ms
(cos (/ (* z t) 3.0))

series271.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ (/ a b) 3.0)
206.0ms
(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
23.0ms
(sin (/ (* z t) 3.0))
16.0ms
(cos (/ (* z t) 3.0))

simplify1.5s

Counts
119 → 119
Iterations

Useful iterations: done (1.5s)

IterNodesCost
023435650
154833626
2224232745
done500032705

prune1.2s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 15.1b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sin y) (sin (/ (* z t) 3.0)))
0.3b
(/ (/ a b) 3.0)
2.6b
(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
27.7b
(sin (/ (* z t) 3.0))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
50×add-sqr-sqrt
48×*-un-lft-identity add-cube-cbrt
23×add-cbrt-cube add-exp-log
18×pow1
13×associate-/l*
9×pow-prod-down prod-exp cbrt-unprod
5×div-inv
4×associate-*r* associate-*l* add-log-exp
3×cbrt-undiv associate-/r* div-exp
2×*-commutative sin-mult
1×clear-num frac-2neg associate-*l/ unswap-sqr associate-/l/
Counts
4 → 119
Calls
4 calls:
10.0ms
(* (sin y) (sin (/ (* z t) 3.0)))
9.0ms
(/ (/ a b) 3.0)
43.0ms
(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
4.0ms
(sin (/ (* z t) 3.0))

series306.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (sin y) (sin (/ (* z t) 3.0)))
27.0ms
(/ (/ a b) 3.0)
195.0ms
(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
23.0ms
(sin (/ (* z t) 3.0))

simplify1.5s

Counts
131 → 131
Iterations

Useful iterations: done (1.5s)

IterNodesCost
023740165
155138030
2233737189
done500037029

prune1.2s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 13.0b

regimes4.1s

Accuracy

0% (2.0b remaining)

Error of 17.2b against oracle of 15.2b and baseline of 17.2b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
017388
122306
224306
done24306

end0.0ms

sample6.1s

Algorithm
intervals
Results
1.4s1537×body1280valid
1.3s9021×body80nan
1.0s5565×body80valid
712.0ms409×body2560valid
469.0ms994×body640valid
259.0ms458×body320valid
104.0ms185×body160valid