Details

Time bar (total: 11.9s)

sample296.0ms

Algorithm
halfpoints

simplify57.0ms

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: 41.0b

localize51.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
59.3b
(- (exp x) (exp (- x)))

rewrite73.0ms

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:
57.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
14.0ms
(- (exp x) (exp (- x)))

series104.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
35.0ms
(- (exp x) (exp (- x)))

simplify101.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0293506
1893449
23855448
35001448

prune210.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
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))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
22×associate-*r*
19×add-exp-log add-cube-cbrt *-un-lft-identity associate-*l*
13×add-cbrt-cube
10×times-frac
9×add-log-exp unswap-sqr
8×unpow-prod-down prod-exp
6×pow1
4×cube-prod cbrt-unprod sqr-pow
3×sum-log *-commutative
2×pow-to-exp pow-exp
1×cbrt-undiv +-commutative cube-mult associate-+r+ flip3-+ unpow3 div-exp pow-prod-down associate-*l/ flip-+ div-inv
Counts
4 → 101
Calls
4 calls:
22.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
12.0ms
(* 1/60 (pow x 5))
13.0ms
(* 1/3 (pow x 3))
76.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))

series213.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
48.0ms
(* 1/60 (pow x 5))
33.0ms
(* 1/3 (pow x 3))
82.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))

simplify59.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0465830
11991734
25002734

prune489.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize70.0ms

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))

rewrite271.0ms

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:
80.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
98.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
78.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
7.0ms
(/ 1 (sqrt 2.0))

series466.0ms

Counts
4 → 10
Calls
4 calls:
148.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
205.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
113.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify100.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
06842589
136672213
250022104

prune792.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite459.0ms

Algorithm
rewrite-expression-head
Rules
276×add-exp-log
152×prod-exp
94×add-cbrt-cube
90×times-frac
84×sqrt-prod
80×div-exp
73×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
53×associate-*l*
44×cbrt-unprod
30×rec-exp 1-exp
24×cbrt-undiv
23×pow1
15×associate-/r*
10×associate-*l/
9×pow-prod-down
8×pow-flip
6×frac-times associate-*r/ associate-/l*
5×sqrt-pow1
4×div-inv add-log-exp
3×pow1/2
2×frac-2neg associate-*r* clear-num *-commutative inv-pow
Counts
4 → 274
Calls
4 calls:
113.0ms
(* (/ 1 (sqrt (sqrt 2.0))) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0))) (sin y)))
310.0ms
(* (/ 1 (sqrt 2.0)) (* (/ 1 (sqrt (sqrt 2.0))) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0))) (sin y))))
7.0ms
(/ 1 (sqrt 2.0))
12.0ms
(/ 1 (sqrt (sqrt 2.0)))

series360.0ms

Counts
4 → 8
Calls
4 calls:
153.0ms
(* (/ 1 (sqrt (sqrt 2.0))) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0))) (sin y)))
208.0ms
(* (/ 1 (sqrt 2.0)) (* (/ 1 (sqrt (sqrt 2.0))) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0))) (sin y))))
0.0ms
(/ 1 (sqrt 2.0))
0.0ms
(/ 1 (sqrt (sqrt 2.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
282 → 282
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
09924497
150013505

prune1.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03519
13519

end0.0ms

sample6.2s

Algorithm
halfpoints