Details

Time bar (total: 27.0s)

sample219.0ms

Algorithm
intervals
Results
59.0ms309×body80nan
38.0ms53×body1280valid
21.0ms183×body80valid
16.0ms14×body2560valid
13.0ms26×body640valid
4.0ms11×body320valid
3.0ms11×body160valid

simplify142.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13319
25819
38219
410019
510819
611019
done11019

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.6b

localize42.0ms

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))))
25.4b
(cos (- y (/ (* z t) 3.0)))

rewrite121.0ms

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:
14.0ms
(/ (* z t) 3.0)
11.0ms
(/ a (* b 3.0))
57.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
34.0ms
(cos (- y (/ (* z t) 3.0)))

series264.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ (* z t) 3.0)
27.0ms
(/ a (* b 3.0))
151.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
61.0ms
(cos (- y (/ (* z t) 3.0)))

simplify1.7s

Counts
113 → 113
Iterations

Useful iterations: done (1.7s)

IterNodesCost
03272847
17112399
229131885
done50001822

prune1.0s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 16.6b

localize71.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ a (* b 3.0))
0.3b
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
28.9b
(sin (/ (* z t) 3.0))
29.0b
(cos (/ (* z t) 3.0))

rewrite94.0ms

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 prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×times-frac associate-*r/ associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv div-exp
1×distribute-rgt-in frac-2neg distribute-lft-in flip3-+ associate-*l* frac-add clear-num associate-/r* cos-mult *-commutative flip-+ div-inv sin-mult
Counts
4 → 66
Calls
4 calls:
12.0ms
(/ a (* b 3.0))
70.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
5.0ms
(sin (/ (* z t) 3.0))
5.0ms
(cos (/ (* z t) 3.0))

series392.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ a (* b 3.0))
321.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
26.0ms
(sin (/ (* z t) 3.0))
17.0ms
(cos (/ (* z t) 3.0))

simplify1.6s

Counts
78 → 78
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01701336
14621285
222801100
done50021090

prune943.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 16.5b

localize81.0ms

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)))))
28.9b
(sin (/ (* z t) 3.0))
29.0b
(cos (* 0.3333333333333333 (* t z)))

rewrite226.0ms

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 prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×times-frac associate-*r/ associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv div-exp
1×distribute-rgt-in frac-2neg distribute-lft-in flip3-+ associate-*l* frac-add clear-num associate-/r* cos-mult *-commutative flip-+ div-inv sin-mult
Counts
4 → 66
Calls
4 calls:
14.0ms
(/ a (* b 3.0))
161.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
6.0ms
(sin (/ (* z t) 3.0))
42.0ms
(cos (* 0.3333333333333333 (* t z)))

series450.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ a (* b 3.0))
371.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
27.0ms
(sin (/ (* z t) 3.0))
22.0ms
(cos (* 0.3333333333333333 (* t z)))

simplify1.7s

Counts
78 → 78
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01731336
14661285
223151099
done50001090

prune1.0s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 16.5b

localize99.0ms

Local error

Found 4 expressions with local error:

28.9b
(sin (/ (* z t) 3.0))
28.9b
(sin (/ (* z t) 3.0))
28.9b
(sin (/ (* z t) 3.0))
29.0b
(cos (* 0.3333333333333333 (* t z)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 36
Calls
4 calls:
14.0ms
(sin (/ (* z t) 3.0))
5.0ms
(sin (/ (* z t) 3.0))
5.0ms
(sin (/ (* z t) 3.0))
26.0ms
(cos (* 0.3333333333333333 (* t z)))

series93.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(sin (/ (* z t) 3.0))
24.0ms
(sin (/ (* z t) 3.0))
26.0ms
(sin (/ (* z t) 3.0))
18.0ms
(cos (* 0.3333333333333333 (* t z)))

simplify1.5s

Counts
48 → 48
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
030400
139400
253352
365352
481352
5148352
6306352
7688352
82101352
done5000352

prune623.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 16.5b

regimes6.7s

Accuracy

62.9% (1.4b remaining)

Error of 17.4b against oracle of 16.0b and baseline of 19.8b

bsearch4.0ms

simplify9.0ms

Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
04495
15879
done5879

end0.0ms

sample7.8s

Algorithm
intervals
Results
2.1s9038×body80nan
1.4s5665×body80valid
1.2s1577×body1280valid
612.0ms952×body640valid
547.0ms353×body2560valid
199.0ms407×body320valid
50.0ms199×body160valid