Details

Time bar (total: 23.9s)

sample194.0ms

Algorithm
intervals
Results
36.0ms305×body80nan
32.0ms47×body1280valid
31.0ms33×body640valid
19.0ms174×body80valid
14.0ms14×body2560valid
4.0ms11×body320valid
2.0ms8×body160valid

simplify158.0ms

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

localize41.0ms

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))))
23.5b
(cos (- y (/ (* z t) 3.0)))

rewrite113.0ms

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:
13.0ms
(/ (* z t) 3.0)
8.0ms
(/ a (* b 3.0))
58.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
29.0ms
(cos (- y (/ (* z t) 3.0)))

series245.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (* z t) 3.0)
27.0ms
(/ a (* b 3.0))
147.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
50.0ms
(cos (- y (/ (* z t) 3.0)))

simplify1.6s

Counts
113 → 113
Iterations

Useful iterations: done (1.6s)

IterNodesCost
03272847
17112399
229131885
done50001822

prune714.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 16.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
0.3b
(/ a (* b 3.0))
28.7b
(sin (/ (* z t) 3.0))
28.9b
(cos (/ (* z t) 3.0))

rewrite91.0ms

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:
74.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
8.0ms
(/ a (* b 3.0))
4.0ms
(sin (/ (* z t) 3.0))
4.0ms
(cos (/ (* z t) 3.0))

series382.0ms

Counts
4 → 12
Calls
4 calls:
316.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
27.0ms
(/ a (* b 3.0))
24.0ms
(sin (/ (* z t) 3.0))
14.0ms
(cos (/ (* z t) 3.0))

simplify1.5s

Counts
78 → 78
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01701336
14591285
222421100
done50011090

prune573.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 16.4b

localize31.0ms

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)))))
28.7b
(sin (/ (* z t) 3.0))
28.9b
(cos (/ (* z t) 3.0))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
47×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×add-exp-log add-cbrt-cube
13×associate-/l*
9×pow1
5×div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv associate-*r/ div-exp associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod
1×distribute-rgt-in frac-2neg distribute-lft-in flip3-+ associate-*l* frac-add clear-num cos-mult *-commutative flip-+ associate-/l/ sin-mult
Counts
4 → 115
Calls
4 calls:
18.0ms
(/ (/ a b) 3.0)
79.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
3.0ms
(sin (/ (* z t) 3.0))
3.0ms
(cos (/ (* z t) 3.0))

series404.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ (/ a b) 3.0)
332.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
27.0ms
(sin (/ (* z t) 3.0))
18.0ms
(cos (/ (* z t) 3.0))

simplify2.0s

Counts
127 → 127
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02722013
17091916
234601733
done50001719

prune1.2s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 16.4b

localize79.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (pow (cos (/ (* z t) 3.0)) 3))
0.4b
(pow (cos (/ (* z t) 3.0)) 3)
28.7b
(sin (/ (* z t) 3.0))
28.9b
(cos (/ (* z t) 3.0))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down cube-prod
5×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow
2×cube-mult unpow3 sqr-pow
1×pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 66
Calls
4 calls:
3.0ms
(cbrt (pow (cos (/ (* z t) 3.0)) 3))
4.0ms
(pow (cos (/ (* z t) 3.0)) 3)
5.0ms
(sin (/ (* z t) 3.0))
7.0ms
(cos (/ (* z t) 3.0))

series100.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (pow (cos (/ (* z t) 3.0)) 3))
37.0ms
(pow (cos (/ (* z t) 3.0)) 3)
21.0ms
(sin (/ (* z t) 3.0))
17.0ms
(cos (/ (* z t) 3.0))

simplify1.1s

Counts
78 → 78
Iterations

Useful iterations: 2 (157.0ms)

IterNodesCost
075909
1168760
2912669
done5000669

prune589.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 16.4b

regimes3.8s

Accuracy

59.8% (1.5b remaining)

Error of 18.0b against oracle of 16.5b and baseline of 20.3b

bsearch4.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
03860
14960
done4960

end0.0ms

sample8.8s

Algorithm
intervals
Results
2.9s9219×body80nan
1.4s1577×body1280valid
814.0ms5672×body80valid
741.0ms418×body320valid
677.0ms949×body640valid
589.0ms369×body2560valid
55.0ms203×body160valid