Details

Time bar (total: 12.0s)

sample257.0ms

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

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 44.2b

Counts
2 → 1

localize51.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.1b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
59.0b
(- (exp x) (exp (- x)))

rewrite24.0ms

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)))
10.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms
(- (exp x) (exp (- x)))

series137.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(+ (exp x) (exp (- x)))
78.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
38.0ms
(- (exp x) (exp (- x)))

simplify113.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0408866
11321682
25002678

prune293.0ms

Filtered
94 candidates to 69 candidates (73.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New90494
Fresh000
Picked101
Done000
Total91495

Merged error: 0.1b

Counts
95 → 4

localize61.0ms

Local error

Found 3 expressions with local error:

0.0b
(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 1/60 (pow x 5) (* 2 x))
5.0ms
(+ (exp x) (exp (- x)))
7.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

series227.0ms

Counts
3 → 9
Calls
3 calls:
121.0ms
(fma 1/60 (pow x 5) (* 2 x))
21.0ms
(+ (exp x) (exp (- x)))
85.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

simplify35.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0315562
11119489
25001485

prune354.0ms

Filtered
70 candidates to 58 candidates (82.9%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New63770
Fresh033
Picked011
Done000
Total631174

Merged error: 0.0b

Counts
74 → 11

localize63.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series403.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
97.0ms
(cbrt (sin y))
100.0ms
(cbrt (sin y))
93.0ms
(cbrt (sin y))

simplify95.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0160483
1568430
23134398
35001392

prune603.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New91293
Fresh189
Picked101
Done011
Total9311104

Merged error: 0.0b

Counts
104 → 11

localize67.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma 1/60 (pow x 5) (* 2 x))) (cbrt (fma 1/60 (pow x 5) (* 2 x))))
0.6b
(cbrt (fma 1/60 (pow x 5) (* 2 x)))
0.6b
(cbrt (fma 1/60 (pow x 5) (* 2 x)))
0.6b
(cbrt (fma 1/60 (pow x 5) (* 2 x)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt (fma 1/60 (pow x 5) (* 2 x))) (cbrt (fma 1/60 (pow x 5) (* 2 x))))
1.0ms
(cbrt (fma 1/60 (pow x 5) (* 2 x)))
1.0ms
(cbrt (fma 1/60 (pow x 5) (* 2 x)))
1.0ms
(cbrt (fma 1/60 (pow x 5) (* 2 x)))

series2.2s

Counts
4 → 12
Calls
4 calls:
576.0ms
(* (cbrt (fma 1/60 (pow x 5) (* 2 x))) (cbrt (fma 1/60 (pow x 5) (* 2 x))))
553.0ms
(cbrt (fma 1/60 (pow x 5) (* 2 x)))
545.0ms
(cbrt (fma 1/60 (pow x 5) (* 2 x)))
550.0ms
(cbrt (fma 1/60 (pow x 5) (* 2 x)))

simplify110.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
02941041
1916960
23996829
35001797

prune485.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New92193
Fresh099
Picked011
Done011
Total9212104

Merged error: 0.0b

Counts
104 → 12

regimes160.0ms

Accuracy

0% (0.6b 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
02917
12917

end0.0ms

sample6.1s

Algorithm
halfpoints