Details

Time bar (total: 14.4s)

sample103.0ms

Algorithm
intervals
Results
26.0ms58×body1280valid
18.0ms273×body80nan
11.0ms16×body2560valid
10.0ms167×body80valid
8.0ms31×body640valid
1.0ms8×body160valid
1.0ms5×body320valid

simplify57.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01819
13319
25719
38119
49619
510319
610519
done10519

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.5b

localize17.0ms

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))))
0.2b
(/ a (* b 3.0))
21.5b
(cos (- y (/ (* z t) 3.0)))

rewrite39.0ms

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)
16.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
3.0ms
(/ a (* b 3.0))
13.0ms
(cos (- y (/ (* z t) 3.0)))

series178.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (* z t) 3.0)
100.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
19.0ms
(/ a (* b 3.0))
37.0ms
(cos (- y (/ (* z t) 3.0)))

simplify898.0ms

Counts
113 → 113
Iterations

Useful iterations: 2 (216.0ms)

IterNodesCost
03272847
16992377
222541875
done50011875

prune445.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 15.8b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin y) (sin (/ (* z t) 3.0)))
1.7b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
26.3b
(cos (/ (* z t) 3.0))
26.4b
(sin (/ (* z t) 3.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×*-commutative sin-mult
1×associate-*r/ unswap-sqr
Counts
4 → 64
Calls
4 calls:
7.0ms
(* (sin y) (sin (/ (* z t) 3.0)))
15.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
1.0ms
(cos (/ (* z t) 3.0))
1.0ms
(sin (/ (* z t) 3.0))

series173.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (sin y) (sin (/ (* z t) 3.0)))
100.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
10.0ms
(cos (/ (* z t) 3.0))
17.0ms
(sin (/ (* z t) 3.0))

simplify2.3s

Counts
76 → 76
Iterations

Useful iterations: 3 (392.0ms)

IterNodesCost
01061062
12351029
2877845
33951837
done5000837

prune443.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 15.6b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sin (* 0.3333333333333333 (* t z))) (sin y))
1.6b
(* (* 2.0 (sqrt x)) (* (sin (* 0.3333333333333333 (* t z))) (sin y)))
26.3b
(cos (/ (* z t) 3.0))
26.8b
(sin (* 0.3333333333333333 (* t z)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×*-commutative sin-mult
1×associate-*r/ unswap-sqr
Counts
4 → 64
Calls
4 calls:
9.0ms
(* (sin (* 0.3333333333333333 (* t z))) (sin y))
23.0ms
(* (* 2.0 (sqrt x)) (* (sin (* 0.3333333333333333 (* t z))) (sin y)))
1.0ms
(cos (/ (* z t) 3.0))
4.0ms
(sin (* 0.3333333333333333 (* t z)))

series187.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (sin (* 0.3333333333333333 (* t z))) (sin y))
106.0ms
(* (* 2.0 (sqrt x)) (* (sin (* 0.3333333333333333 (* t z))) (sin y)))
11.0ms
(cos (/ (* z t) 3.0))
22.0ms
(sin (* 0.3333333333333333 (* t z)))

simplify2.0s

Counts
76 → 76
Iterations

Useful iterations: 3 (380.0ms)

IterNodesCost
01051066
12351031
2843847
33862841
done5000841

prune472.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 15.6b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
1.6b
(* (* 2.0 (sqrt x)) (* (sin (* 0.3333333333333333 (* t z))) (sin y)))
26.6b
(cos (* 0.3333333333333333 (* t z)))
26.8b
(sin (* 0.3333333333333333 (* t z)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
28×pow1 add-exp-log add-cbrt-cube
16×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
2×associate-*r/ associate-*r* associate-*l* *-commutative
1×cos-mult sin-mult
Counts
4 → 68
Calls
4 calls:
22.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
27.0ms
(* (* 2.0 (sqrt x)) (* (sin (* 0.3333333333333333 (* t z))) (sin y)))
4.0ms
(cos (* 0.3333333333333333 (* t z)))
4.0ms
(sin (* 0.3333333333333333 (* t z)))

series256.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
105.0ms
(* (* 2.0 (sqrt x)) (* (sin (* 0.3333333333333333 (* t z))) (sin y)))
11.0ms
(cos (* 0.3333333333333333 (* t z)))
18.0ms
(sin (* 0.3333333333333333 (* t z)))

simplify494.0ms

Counts
80 → 80
Iterations

Useful iterations: 2 (108.0ms)

IterNodesCost
01361364
13631301
213651027
done50001027

prune322.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 15.6b

regimes2.9s

Accuracy

56.6% (1.6b remaining)

Error of 17.8b against oracle of 16.2b and baseline of 19.9b

bsearch3.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04397
15697
done5697

end0.0ms

sample2.9s

Algorithm
intervals
Results
655.0ms1642×body1280valid
615.0ms9032×body80nan
335.0ms5548×body80valid
266.0ms931×body640valid
235.0ms352×body2560valid
83.0ms406×body320valid
27.0ms197×body160valid