Details

Time bar (total: 12.1s)

sample268.0ms

Algorithm
halfpoints

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0307
1477
2847
31317
42237
54667
611237
722447
850027

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.7b

localize51.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.1b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
58.6b
(- (exp x) (exp (- x)))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
43×*-un-lft-identity
35×associate-*l*
29×add-cube-cbrt times-frac
13×add-exp-log add-cbrt-cube
9×prod-diff
7×pow1
6×associate-*r*
5×add-log-exp
4×prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
3×expm1-log1p-u fma-neg log1p-expm1-u distribute-lft-out
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
1×sub-neg flip3-- diff-log flip--
Counts
3 → 105
Calls
3 calls:
50.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
52.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
15.0ms
(- (exp x) (exp (- x)))

series158.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
72.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
31.0ms
(- (exp x) (exp (- x)))

simplify53.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05411133
11885916
25002915

prune356.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize58.0ms

Local error

Found 2 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt associate-*l*
25×*-un-lft-identity
23×times-frac
19×add-cube-cbrt
12×add-exp-log add-cbrt-cube
6×pow1 associate-*r*
4×prod-exp cbrt-unprod unswap-sqr
3×distribute-lft-out
2×cbrt-undiv expm1-log1p-u div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv add-log-exp
Counts
2 → 71
Calls
2 calls:
50.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
16.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

series131.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
77.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

simplify41.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0405770
11528671
25001669

prune367.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

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))
0.4b
(* (/ 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))
50.0ms
(* (/ 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))
10.0ms
(/ 1 (sqrt 2.0))

series427.0ms

Counts
4 → 10
Calls
4 calls:
140.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
188.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
99.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify81.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06332260
132131931
250011821

prune843.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize64.0ms

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))
0.4b
(* (cbrt (/ (/ 1 2.0) (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 2.0) (sqrt 2.0))

rewrite131.0ms

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×expm1-log1p-u associate-*r* pow-prod-down associate-*l/ log1p-expm1-u add-log-exp pow-div
3×unswap-sqr
2×cbrt-div pow-flip frac-2neg sqrt-pow1 pow1/2 clear-num *-commutative inv-pow
1×frac-times rec-exp 1-exp associate-*r/ associate-/l/
Counts
4 → 312
Calls
4 calls:
21.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
76.0ms
(* (cbrt (/ (/ 1 2.0) (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))
12.0ms
(/ (/ 1 2.0) (sqrt 2.0))

series736.0ms

Counts
4 → 10
Calls
4 calls:
136.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
492.0ms
(* (cbrt (/ (/ 1 2.0) (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 2.0) (sqrt 2.0))

simplify111.0ms

Algorithm
egg-herbie
Counts
322 → 322
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
010733900
144333583
250013481

prune1.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (0.1b remaining)

Error of 0.8b against oracle of 0.6b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02917
12917

end0.0ms

sample6.1s

Algorithm
halfpoints