Details

Time bar (total: 10.3s)

sample278.0ms

Algorithm
halfpoints

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0307
1477
2847
31317
42237
54667
611237
722447
850027

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.1b

localize38.0ms

Local error

Found 2 expressions with local error:

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

rewrite73.0ms

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:
55.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
16.0ms
(- (exp x) (exp (- x)))

series124.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
39.0ms
(- (exp x) (exp (- x)))

simplify36.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0351756
11061585
25001583

prune210.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize27.0ms

Local error

Found 1 expressions with local error:

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
14×add-sqr-sqrt
13×associate-*l*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
20.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

series99.0ms

Counts
1 → 3
Calls
1 calls:
99.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

simplify70.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0202393
1699340
22890337
35001337

prune173.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.3b

localize34.0ms

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))

rewrite97.0ms

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:
22.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
54.0ms
(* (/ 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))

series650.0ms

Counts
4 → 10
Calls
4 calls:
161.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
370.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
118.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify84.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06332260
132131931
250011821

prune643.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 3 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
(* (pow 2.0 (- 1/2)) (* (/ (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))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
38×times-frac
34×add-exp-log add-cube-cbrt *-un-lft-identity
29×associate-*l*
22×sqrt-prod
19×add-cbrt-cube
17×prod-exp
7×cbrt-unprod
6×associate-*l/ associate-/r*
5×pow1 div-exp
4×associate-*r*
3×cbrt-undiv expm1-log1p-u pow-to-exp unpow-prod-down pow-exp log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×neg-sub0 frac-times pow-neg *-commutative div-inv pow-sub
1×frac-2neg associate-*r/ pow-prod-down clear-num sqr-pow
Counts
3 → 120
Calls
3 calls:
23.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
44.0ms
(* (pow 2.0 (- 1/2)) (* (/ (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))

series519.0ms

Counts
3 → 9
Calls
3 calls:
162.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
238.0ms
(* (pow 2.0 (- 1/2)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
119.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))

simplify68.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05391708
123741523
250031518

prune479.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

regimes108.0ms

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
0188
1188

end0.0ms

sample6.3s

Algorithm
halfpoints