Details

Time bar (total: 9.7s)

sample307.0ms

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)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 42.7b

Counts
2 → 1

localize38.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
57.5b
(- (exp x) (exp (- x)))

rewrite22.0ms

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:
11.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
9.0ms
(- (exp x) (exp (- x)))

series116.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
35.0ms
(- (exp x) (exp (- x)))

simplify38.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0351756
11061585
25001583

prune169.0ms

Filtered
74 candidates to 51 candidates (68.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New72274
Fresh000
Picked101
Done000
Total73275

Merged error: 0.1b

Counts
75 → 2

localize25.0ms

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
(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))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×add-cube-cbrt *-un-lft-identity
10×times-frac
8×add-exp-log add-cbrt-cube
5×pow1
3×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
2×prod-exp cbrt-unprod fma-udef unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
1.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
1.0ms
(fma 1/60 (pow x 5) (* 2 x))
7.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

series264.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
123.0ms
(fma 1/60 (pow x 5) (* 2 x))
89.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

simplify113.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0231541
1897470
24308467
35001467

prune208.0ms

Filtered
63 candidates to 50 candidates (79.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New57663
Fresh011
Picked011
Done000
Total57865

Merged error: 0.0b

Counts
65 → 8

localize29.0ms

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))

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 (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series410.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
97.0ms
(cbrt (sin y))
103.0ms
(cbrt (sin y))
97.0ms
(cbrt (sin y))

simplify95.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0160483
1568430
23134398
35001392

prune327.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New91293
Fresh156
Picked101
Done011
Total938101

Merged error: 0.0b

Counts
101 → 8

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))))
0.6b
(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))
0.6b
(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))
0.6b
(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))

rewrite15.0ms

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 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))))
5.0ms
(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))
1.0ms
(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))
1.0ms
(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))

series603.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(* (cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))))
148.0ms
(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))
153.0ms
(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))
144.0ms
(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))

simplify146.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (131.0ms)

IterNodesCost
03051320
19791215
243931065
350011027

prune484.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New92193
Fresh066
Picked011
Done011
Total929101

Merged error: 0.0b

Counts
101 → 9

regimes92.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188
1188

end0.0ms

sample6.1s

Algorithm
halfpoints