Details

Time bar (total: 12.2s)

sample289.0ms

Algorithm
halfpoints

simplify57.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0307
1477
2847
31217
42067
54107
610177
720747
850017
done50017

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.1b

localize39.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
58.7b
(- (exp x) (exp (- x)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×*-un-lft-identity
19×associate-*l*
16×times-frac
12×add-cube-cbrt
7×add-exp-log add-cbrt-cube
4×pow1 distribute-lft-out-- add-log-exp difference-of-squares
3×associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv
Counts
2 → 52
Calls
2 calls:
54.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
16.0ms
(- (exp x) (exp (- x)))

series117.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
35.0ms
(- (exp x) (exp (- x)))

simplify100.0ms

Counts
58 → 58
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0293506
1893449
23855448
35001448
done5001448

prune157.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 3 expressions with local error:

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))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
22×associate-*r*
19×associate-*l*
18×add-exp-log add-cube-cbrt *-un-lft-identity
12×add-cbrt-cube
10×times-frac
9×unswap-sqr
8×unpow-prod-down prod-exp
5×pow1
4×cube-prod cbrt-unprod sqr-pow
3×*-commutative add-log-exp
2×pow-to-exp pow-exp
1×cbrt-undiv cube-mult unpow3 div-exp pow-prod-down associate-*l/ div-inv
Counts
3 → 88
Calls
3 calls:
11.0ms
(* 1/60 (pow x 5))
13.0ms
(* 1/3 (pow x 3))
75.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))

series178.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* 1/60 (pow x 5))
36.0ms
(* 1/3 (pow x 3))
92.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))

simplify47.0ms

Counts
97 → 97
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0399664
11676581
25002581
done5002581

prune279.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
0.3b
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
0.4b
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
1.0b
(/ 1 (sqrt 2.0))

rewrite259.0ms

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:
77.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
92.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
75.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
7.0ms
(/ 1 (sqrt 2.0))

series494.0ms

Counts
4 → 10
Calls
4 calls:
159.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
214.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
120.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify89.0ms

Counts
192 → 192
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
06842589
136672213
250022104
done50022104

prune532.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite350.0ms

Algorithm
rewrite-expression-head
Rules
1128×sqrt-prod
1116×times-frac
592×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
283×associate-*l*
79×add-exp-log
49×add-cbrt-cube
37×associate-/l*
32×div-exp
25×prod-exp
24×associate-/r*
23×pow1 div-inv
20×sqrt-pow1
17×cbrt-undiv
15×cbrt-unprod
14×pow-flip
10×pow1/2 pow-div
5×rec-exp 1-exp
4×add-log-exp
3×frac-2neg pow-prod-down associate-*l/ clear-num associate-/l/
2×inv-pow
1×frac-times flip3-+ associate-*r/ associate-*r* *-commutative flip-+
Counts
4 → 767
Calls
4 calls:
178.0ms
(* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
73.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
28.0ms
(/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
9.0ms
(/ 1 (sqrt (sqrt 2.0)))

series344.0ms

Counts
4 → 8
Calls
4 calls:
216.0ms
(* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
128.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
0.0ms
(/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
0.0ms
(/ 1 (sqrt (sqrt 2.0)))

simplify123.0ms

Counts
775 → 775
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
0173312573
1500111020
done500111020

prune2.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes91.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02410
12410
done2410

end0.0ms

sample6.2s

Algorithm
halfpoints