Details

Time bar (total: 30.8s)

sample442.0ms

Algorithm
halfpoints

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01624
13011
24811
38311
411811
523111
697911
done500011

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.9b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.1b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
57.2b
(- (exp x) (exp (- x)))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×*-un-lft-identity
35×associate-*l*
29×times-frac
23×add-cube-cbrt
14×add-exp-log add-cbrt-cube
8×pow1 add-log-exp
6×associate-*r*
4×prod-exp cbrt-unprod distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative sub-neg flip3-- flip3-+ diff-log sum-log flip-- flip-+
Counts
4 → 99
Calls
4 calls:
20.0ms
(+ (exp x) (exp (- x)))
72.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
73.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
19.0ms
(- (exp x) (exp (- x)))

series297.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (exp x) (exp (- x)))
85.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
128.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
57.0ms
(- (exp x) (exp (- x)))

simplify1.2s

Counts
111 → 111
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02001479
15241449
223841281
done50001277

prune562.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b
(* 1/60 (pow x 5))
0.1b
(* 1/3 (pow x 3))
0.1b
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
35×associate-*l*
34×*-un-lft-identity
28×add-cube-cbrt
25×associate-*r*
24×add-exp-log
23×times-frac
18×add-cbrt-cube
11×unswap-sqr
10×prod-exp
8×pow1 unpow-prod-down
6×cbrt-unprod
4×cube-prod *-commutative add-log-exp sqr-pow
3×distribute-lft-out
2×cbrt-undiv pow-to-exp div-exp pow-prod-down associate-*l/ pow-exp div-inv
1×cube-mult unpow3
Counts
4 → 123
Calls
4 calls:
61.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
18.0ms
(* 1/60 (pow x 5))
13.0ms
(* 1/3 (pow x 3))
87.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))

series269.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
56.0ms
(* 1/60 (pow x 5))
40.0ms
(* 1/3 (pow x 3))
103.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))

simplify1.5s

Counts
135 → 135
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02491907
16361828
228051612
done50021611

prune912.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize98.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
0.4b
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
0.5b
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
1.0b
(/ 1 (sqrt 2.0))

rewrite359.0ms

Algorithm
rewrite-expression-head
Rules
74×times-frac
69×add-sqr-sqrt
61×add-cube-cbrt *-un-lft-identity
54×add-exp-log
44×associate-*l*
43×sqrt-prod
34×add-cbrt-cube
22×prod-exp
14×div-exp
13×pow1
12×associate-/r* cbrt-unprod
8×cbrt-undiv
6×associate-/l*
4×rec-exp 1-exp associate-*r* pow-prod-down associate-*l/ div-inv add-log-exp
3×pow-flip unswap-sqr
2×frac-2neg clear-num *-commutative associate-/l/
1×frac-times sqrt-pow1 flip3-+ pow1/2 associate-*r/ flip-+ inv-pow
Counts
4 → 182
Calls
4 calls:
97.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
123.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
119.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
13.0ms
(/ 1 (sqrt 2.0))

series676.0ms

Counts
4 → 10
Calls
4 calls:
229.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
301.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
146.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify3.3s

Counts
192 → 192
Iterations

Useful iterations: 2 (594.0ms)

IterNodesCost
02564878
17304621
244384014
done50004014

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize110.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
0.4b
(* (cbrt (/ 1 (* 2.0 (sqrt 2.0)))) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
0.5b
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
1.0b
(/ 1 (* 2.0 (sqrt 2.0)))

rewrite424.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
44×times-frac
38×add-cube-cbrt *-un-lft-identity
32×associate-*l*
31×add-exp-log
22×sqrt-prod add-cbrt-cube
17×pow1
10×prod-exp
8×cbrt-unprod
7×cbrt-prod div-exp associate-/r*
6×associate-/l*
5×cbrt-undiv pow-flip pow-prod-down
4×associate-*r* associate-*l/ div-inv add-log-exp
3×unswap-sqr
2×rec-exp cbrt-div frac-2neg 1-exp clear-num *-commutative pow-prod-up associate-/l/
1×frac-times sqrt-pow1 flip3-+ pow1/2 associate-*r/ pow3 flip-+ inv-pow
Counts
4 → 144
Calls
4 calls:
119.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
140.0ms
(* (cbrt (/ 1 (* 2.0 (sqrt 2.0)))) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
119.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
34.0ms
(/ 1 (* 2.0 (sqrt 2.0)))

series1.4s

Counts
4 → 10
Calls
4 calls:
265.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
886.0ms
(* (cbrt (/ 1 (* 2.0 (sqrt 2.0)))) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
233.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
0.0ms
(/ 1 (* 2.0 (sqrt 2.0)))

simplify2.6s

Counts
154 → 154
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02623996
16903849
235163437
done50023433

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02733
13533
done3533

end0.0ms

sample12.5s

Algorithm
halfpoints