Details

Time bar (total: 10.2s)

sample294.0ms

Algorithm
halfpoints

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0307
1477
2847
31317
42237
54667
611237
722447
850027

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.0b

localize38.0ms

Local error

Found 2 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
27×*-un-lft-identity
19×add-cube-cbrt associate-*l*
16×times-frac
9×prod-diff
7×add-exp-log add-cbrt-cube
4×pow1 distribute-lft-out-- add-log-exp difference-of-squares
3×fma-neg associate-*r*
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv
Counts
2 → 68
Calls
2 calls:
53.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
16.0ms
(- (exp x) (exp (- x)))

series103.0ms

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

simplify36.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0351756
11061585
25001583

prune184.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1
3×associate-*r*
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative fma-udef div-inv
Counts
2 → 44
Calls
2 calls:
0.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
19.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

series128.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
80.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

simplify100.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0220482
1860418
24161415
35001415

prune175.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

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×expm1-log1p-u rec-exp 1-exp associate-*r* pow-prod-down associate-*l/ log1p-expm1-u div-inv add-log-exp
3×pow-flip unswap-sqr
2×frac-2neg clear-num *-commutative
1×frac-times sqrt-pow1 pow1/2 associate-*r/ inv-pow
Counts
4 → 188
Calls
4 calls:
21.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
52.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
6.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
7.0ms
(/ 1 (sqrt 2.0))

series440.0ms

Counts
4 → 10
Calls
4 calls:
139.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
193.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
107.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify86.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06332260
132131931
250011821

prune592.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite230.0ms

Algorithm
rewrite-expression-head
Rules
242×add-exp-log
134×prod-exp
93×times-frac
87×sqrt-prod
85×add-sqr-sqrt
78×add-cbrt-cube
74×add-cube-cbrt *-un-lft-identity
71×div-exp
53×associate-*l*
36×cbrt-unprod
27×rec-exp 1-exp
20×pow1 cbrt-undiv
15×associate-/r*
8×pow-flip associate-*l/
7×pow-prod-down
6×associate-/l*
5×frac-times sqrt-pow1 associate-*r/
4×expm1-log1p-u associate-*r* log1p-expm1-u div-inv add-log-exp unswap-sqr
3×pow1/2
2×frac-2neg clear-num *-commutative inv-pow
Counts
4 → 271
Calls
4 calls:
27.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt (sqrt 2.0))) (sin y))
172.0ms
(* (/ 1 (sqrt 2.0)) (* (/ 1 (sqrt (sqrt 2.0))) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt (sqrt 2.0))) (sin y))))
6.0ms
(/ 1 (sqrt 2.0))
9.0ms
(/ 1 (sqrt (sqrt 2.0)))

series395.0ms

Counts
4 → 8
Calls
4 calls:
197.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt (sqrt 2.0))) (sin y))
198.0ms
(* (/ 1 (sqrt 2.0)) (* (/ 1 (sqrt (sqrt 2.0))) (* (/ (fma 1/3 (pow x 3) (fma 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)))

simplify58.0ms

Algorithm
egg-herbie
Counts
279 → 279
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09853721
150012950

prune732.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes83.0ms

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
0188
1188

end0.0ms

sample6.2s

Algorithm
halfpoints