Details

Time bar (total: 11.6s)

sample259.0ms

Algorithm
halfpoints

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0307
1477
2847
31217
42067
54107
610177
720747
850017

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.1b

localize36.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
58.1b
(- (exp x) (exp (- x)))

rewrite68.0ms

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:
53.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
13.0ms
(- (exp x) (exp (- x)))

series107.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
34.0ms
(- (exp x) (exp (- x)))

simplify106.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0293506
1893449
23855448
35001448

prune183.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite98.0ms

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))
71.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))
12.0ms
(* 1/3 (pow x 3))

series158.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* 1/60 (pow x 5))
79.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))
33.0ms
(* 1/3 (pow x 3))

simplify48.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0399664
11676581
25002581

prune325.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.3b

localize28.0ms

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))

rewrite247.0ms

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:
74.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
88.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
72.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
7.0ms
(/ 1 (sqrt 2.0))

series451.0ms

Counts
4 → 10
Calls
4 calls:
147.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
196.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
108.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify94.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
06842589
136672213
250022104

prune611.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

localize37.0ms

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

rewrite445.0ms

Algorithm
rewrite-expression-head
Rules
311×times-frac
188×add-sqr-sqrt
180×add-cube-cbrt *-un-lft-identity
107×associate-*l*
103×sqrt-prod
82×cbrt-prod
29×add-exp-log
22×add-cbrt-cube
17×div-inv
16×associate-/l*
15×pow1
12×associate-/r*
9×div-exp
7×prod-exp cbrt-unprod
6×cbrt-undiv
4×associate-*r* pow-prod-down associate-*l/ add-log-exp pow-div
3×associate-/l/ unswap-sqr
2×cbrt-div pow-flip frac-2neg sqrt-pow1 pow1/2 clear-num *-commutative inv-pow
1×frac-times rec-exp flip3-+ 1-exp associate-*r/ flip-+
Counts
4 → 306
Calls
4 calls:
75.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
116.0ms
(* (cbrt (/ (/ 1 2.0) (sqrt 2.0))) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
222.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
13.0ms
(/ (/ 1 2.0) (sqrt 2.0))

series762.0ms

Counts
4 → 10
Calls
4 calls:
146.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
507.0ms
(* (cbrt (/ (/ 1 2.0) (sqrt 2.0))) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
109.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
0.0ms
(/ (/ 1 2.0) (sqrt 2.0))

simplify118.0ms

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
011114318
148293959
250013959

prune1.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

regimes110.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02410
12410

end0.0ms

sample6.0s

Algorithm
halfpoints