Details

Time bar (total: 13.2s)

sample97.0ms

Algorithm
intervals
Results
22.0ms52×body1280valid
18.0ms281×body80nan
9.0ms163×body80valid
8.0ms33×body640valid
8.0ms12×body2560valid
3.0ms18×body320valid
1.0ms7×body160valid

simplify62.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13319
25719
38019
49519
510219
610419
done10419

prune6.0ms

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)))

rewrite38.0ms

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)))

series172.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (* z t) 3.0)
18.0ms
(/ a (* b 3.0))
97.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
39.0ms
(cos (- y (/ (* z t) 3.0)))

simplify1.2s

Counts
113 → 113
Iterations

Useful iterations: 2 (273.0ms)

IterNodesCost
03272847
16862377
219571875
done50011875

prune452.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 18.5b

localize26.0ms

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))

rewrite28.0ms

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:
3.0ms
(/ a (* b 3.0))
20.0ms
(* (* 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))
1.0ms
(sin (/ (* z t) 3.0))

series245.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ a (* b 3.0))
199.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
10.0ms
(cos (/ (* z t) 3.0))
17.0ms
(sin (/ (* z t) 3.0))

simplify902.0ms

Counts
78 → 78
Iterations

Useful iterations: done (884.0ms)

IterNodesCost
01701336
14481281
216761094
done50001092

prune511.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 18.4b

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 (* 0.3333333333333333 (* t z))))))
29.9b
(cos (/ (* z t) 3.0))
30.4b
(sin (* 0.3333333333333333 (* t z)))

rewrite39.0ms

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:
3.0ms
(/ a (* b 3.0))
26.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (* 0.3333333333333333 (* t z))))))
1.0ms
(cos (/ (* z t) 3.0))
7.0ms
(sin (* 0.3333333333333333 (* t z)))

series252.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ a (* b 3.0))
205.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (* 0.3333333333333333 (* t z))))))
10.0ms
(cos (/ (* z t) 3.0))
18.0ms
(sin (* 0.3333333333333333 (* t z)))

simplify883.0ms

Counts
78 → 78
Iterations

Useful iterations: done (881.0ms)

IterNodesCost
01731336
14521281
216921093
done50001091

prune532.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 18.4b

localize36.0ms

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)))

rewrite21.0ms

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×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×associate-*r/
1×distribute-rgt-in expm1-log1p distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ expm1-udef
Counts
4 → 53
Calls
4 calls:
14.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (log1p (expm1 (cos (/ (* z t) 3.0))))) (* (sin y) (sin (* 0.3333333333333333 (* t z))))))
1.0ms
(expm1 (cos (/ (* z t) 3.0)))
1.0ms
(cos (/ (* z t) 3.0))
4.0ms
(sin (* 0.3333333333333333 (* t z)))

series301.0ms

Counts
4 → 12
Calls
4 calls:
237.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (log1p (expm1 (cos (/ (* z t) 3.0))))) (* (sin y) (sin (* 0.3333333333333333 (* t z))))))
37.0ms
(expm1 (cos (/ (* z t) 3.0)))
10.0ms
(cos (/ (* z t) 3.0))
17.0ms
(sin (* 0.3333333333333333 (* t z)))

simplify948.0ms

Counts
65 → 65
Iterations

Useful iterations: done (945.0ms)

IterNodesCost
01241281
13311162
21230991
done5000979

prune366.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 18.4b

regimes3.1s

Accuracy

61.5% (1.5b remaining)

Error of 17.9b against oracle of 16.4b and baseline of 20.3b

bsearch3.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04464
15564
done5564

end0.0ms

sample2.9s

Algorithm
intervals
Results
646.0ms1612×body1280valid
614.0ms9141×body80nan
347.0ms5667×body80valid
255.0ms930×body640valid
246.0ms364×body2560valid
84.0ms413×body320valid
26.0ms188×body160valid