Details

Time bar (total: 12.9s)

sample270.0ms

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

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.5b

localize49.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.1b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
58.0b
(- (exp x) (exp (- x)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
31×*-un-lft-identity
21×add-cube-cbrt
19×associate-*l*
16×times-frac
9×prod-diff
8×add-exp-log add-cbrt-cube
7×add-log-exp
5×pow1
4×distribute-lft-out-- difference-of-squares
3×expm1-log1p-u fma-def fma-neg associate-*r* log1p-expm1-u
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative sub-neg flip3-- flip3-+ diff-log div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-- flip-+ div-inv distribute-lft-out
Counts
3 → 85
Calls
3 calls:
5.0ms
(+ (exp x) (exp (- x)))
13.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms
(- (exp x) (exp (- x)))

series141.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(+ (exp x) (exp (- x)))
83.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
35.0ms
(- (exp x) (exp (- x)))

simplify44.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0408866
11321682
25002678

prune325.0ms

Filtered
94 candidates to 69 candidates (73.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize59.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
14×*-un-lft-identity
13×associate-*l*
12×add-cube-cbrt
10×times-frac
8×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
3×expm1-log1p-u fma-def associate-*r* log1p-expm1-u
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ fma-udef div-inv distribute-lft-out
Counts
3 → 61
Calls
3 calls:
1.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
5.0ms
(+ (exp x) (exp (- x)))
6.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

series172.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
22.0ms
(+ (exp x) (exp (- x)))
92.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

simplify37.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0320592
11235515
25001511

prune402.0ms

Filtered
70 candidates to 57 candidates (81.4%)
Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

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))

rewrite37.0ms

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:
8.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
13.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
4.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
4.0ms
(/ 1 (sqrt 2.0))

series499.0ms

Counts
4 → 10
Calls
4 calls:
162.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
217.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
120.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify83.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06332260
132131931
250011821

prune871.0ms

Filtered
198 candidates to 118 candidates (59.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (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 (sqrt 2.0))) (sqrt (sqrt 2.0)))
1.0b
(/ 1 (sqrt (sqrt 2.0)))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
1128×sqrt-prod
1116×times-frac
592×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
283×associate-*l*
79×add-exp-log
49×add-cbrt-cube
37×associate-/l*
32×div-exp
25×prod-exp
24×associate-/r*
23×pow1 div-inv
20×sqrt-pow1
17×cbrt-undiv
15×cbrt-unprod
14×pow-flip
10×pow1/2 pow-div
5×rec-exp 1-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg pow-prod-down associate-*l/ clear-num
2×inv-pow
1×frac-times associate-*r/ associate-*r* *-commutative associate-/l/
Counts
4 → 773
Calls
4 calls:
53.0ms
(* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
4.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
16.0ms
(/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
9.0ms
(/ 1 (sqrt (sqrt 2.0)))

series344.0ms

Counts
4 → 8
Calls
4 calls:
228.0ms
(* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
116.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
0.0ms
(/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
0.0ms
(/ 1 (sqrt (sqrt 2.0)))

simplify129.0ms

Algorithm
egg-herbie
Counts
781 → 781
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
0168011785
1500110125

prune2.9s

Filtered
781 candidates to 347 candidates (44.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes139.0ms

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
02917
12917

end0.0ms

sample6.0s

Algorithm
halfpoints