Details

Time bar (total: 12.3s)

sample104.0ms

Algorithm
intervals
Results
21.0ms50×body1280valid
19.0ms273×body80nan
11.0ms171×body80valid
9.0ms13×body2560valid
8.0ms27×body640valid
7.0ms17×body320valid
1.0ms9×body160valid

simplify59.0ms

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: 20.8b

localize18.0ms

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))))
23.4b
(cos (- y (/ (* z t) 3.0)))

rewrite42.0ms

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))
16.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
16.0ms
(cos (- y (/ (* z t) 3.0)))

series172.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (* z t) 3.0)
18.0ms
(/ a (* b 3.0))
93.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
33.0ms
(cos (- y (/ (* z t) 3.0)))

simplify737.0ms

Counts
113 → 113
Iterations

Useful iterations: 2 (226.0ms)

IterNodesCost
03272847
16782377
220121875
done50001875

prune432.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 16.8b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
0.3b
(/ a (* b 3.0))
26.3b
(cos (/ (* z t) 3.0))
26.4b
(sin (/ (* z t) 3.0))

rewrite25.0ms

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:
17.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
3.0ms
(/ a (* b 3.0))
1.0ms
(cos (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))

series247.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
18.0ms
(/ a (* b 3.0))
13.0ms
(cos (/ (* z t) 3.0))
16.0ms
(sin (/ (* z t) 3.0))

simplify816.0ms

Counts
78 → 78
Iterations

Useful iterations: done (814.0ms)

IterNodesCost
01701336
14481281
217241094
done50001092

prune517.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 14.9b

localize28.0ms

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)))))
26.4b
(cos (* 0.3333333333333333 (* t z)))
26.4b
(sin (/ (* z t) 3.0))

rewrite37.0ms

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 (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
4.0ms
(cos (* 0.3333333333333333 (* t z)))
1.0ms
(sin (/ (* z t) 3.0))

series280.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ a (* b 3.0))
224.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
14.0ms
(cos (* 0.3333333333333333 (* t z)))
23.0ms
(sin (/ (* z t) 3.0))

simplify618.0ms

Counts
78 → 78
Iterations

Useful iterations: done (616.0ms)

IterNodesCost
01731336
14521281
217391093
done50011091

prune531.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 14.9b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sin y) (sin (/ (* z t) 3.0)))
0.3b
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
26.4b
(cos (* 0.3333333333333333 (* t z)))
26.4b
(sin (/ (* z t) 3.0))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×associate-*r/
2×*-commutative sin-mult
1×distribute-rgt-in distribute-lft-in flip3-+ frac-add cos-mult flip-+ unswap-sqr
Counts
4 → 64
Calls
4 calls:
5.0ms
(* (sin y) (sin (/ (* z t) 3.0)))
27.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
4.0ms
(cos (* 0.3333333333333333 (* t z)))
2.0ms
(sin (/ (* z t) 3.0))

series273.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (sin y) (sin (/ (* z t) 3.0)))
202.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
13.0ms
(cos (* 0.3333333333333333 (* t z)))
16.0ms
(sin (/ (* z t) 3.0))

simplify679.0ms

Counts
76 → 76
Iterations

Useful iterations: done (676.0ms)

IterNodesCost
01471427
13841354
215291178
done50001176

prune393.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 14.9b

regimes3.1s

Accuracy

44.2% (2.5b remaining)

Error of 18.2b against oracle of 15.7b and baseline of 20.1b

bsearch3.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
046106
153106
done53106

end0.0ms

sample3.1s

Algorithm
intervals
Results
691.0ms9074×body80nan
666.0ms1557×body1280valid
395.0ms5663×body80valid
283.0ms924×body640valid
265.0ms373×body2560valid
103.0ms430×body320valid
30.0ms195×body160valid