Details

Time bar (total: 5.9s)

sample78.0ms

Algorithm
intervals
Results
27.0ms93×body1280valid
16.0ms289×body80valid
13.0ms65×body640valid
7.0ms52×body320valid
3.0ms31×body160valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31394
42714
55204
614914
750014

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sinh y) y)
0.0b
(sinh y)
0.0b
(* (sin x) (/ (sinh y) y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
3 → 74
Calls
3 calls:
4.0ms
(/ (sinh y) y)
1.0ms
(sinh y)
7.0ms
(* (sin x) (/ (sinh y) y))

series246.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(/ (sinh y) y)
61.0ms
(sinh y)
99.0ms
(* (sin x) (/ (sinh y) y))

simplify42.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0348444
11367399
25001397

prune189.0ms

Filtered
83 candidates to 67 candidates (80.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New79483
Fresh000
Picked101
Done000
Total80484

Merged error: 0b

Counts
84 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (sinh y))
0.7b
(cbrt y)
0.7b
(cbrt y)
0.7b
(cbrt y)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
1×sinh-def cbrt-div
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt (sinh y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series718.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(cbrt (sinh y))
170.0ms
(cbrt y)
222.0ms
(cbrt y)
172.0ms
(cbrt y)

simplify65.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
0117210
1224195
2487187
31476187
45001187

prune214.0ms

Filtered
65 candidates to 57 candidates (87.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New65065
Fresh033
Picked011
Done000
Total65469

Merged error: 0b

Counts
69 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sinh y)
0.0b
(* (sin x) (/ (sinh y) y))
0.2b
(expm1 (log1p (* (sin x) (/ (sinh y) y))))
0.2b
(log1p (* (sin x) (/ (sinh y) y)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1
5×expm1-log1p-u
4×log1p-expm1-u add-log-exp
3×associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sinh-def log1p-udef expm1-log1p log1p-expm1 associate-*r/ div-exp pow-prod-down *-commutative div-inv expm1-udef
Counts
4 → 66
Calls
4 calls:
1.0ms
(sinh y)
8.0ms
(* (sin x) (/ (sinh y) y))
1.0ms
(expm1 (log1p (* (sin x) (/ (sinh y) y))))
1.0ms
(log1p (* (sin x) (/ (sinh y) y)))

series606.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(sinh y)
102.0ms
(* (sin x) (/ (sinh y) y))
164.0ms
(expm1 (log1p (* (sin x) (/ (sinh y) y))))
284.0ms
(log1p (* (sin x) (/ (sinh y) y)))

simplify70.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0582613
12720554
25001546

prune208.0ms

Filtered
78 candidates to 64 candidates (82.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New77178
Fresh112
Picked011
Done011
Total78482

Merged error: 0b

Counts
82 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1/120 (pow y 5) y)
0.0b
(fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y))
0.0b
(/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y)
0.0b
(* (sin x) (/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
19×times-frac
13×associate-*r*
11×add-exp-log add-cbrt-cube
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod fma-udef div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 83
Calls
4 calls:
1.0ms
(fma 1/120 (pow y 5) y)
1.0ms
(fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y))
3.0ms
(/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y)
7.0ms
(* (sin x) (/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y))

series609.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(fma 1/120 (pow y 5) y)
52.0ms
(fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y))
78.0ms
(/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y)
375.0ms
(* (sin x) (/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y))

simplify46.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0296761
11324681
25001681

prune282.0ms

Filtered
95 candidates to 73 candidates (76.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New94195
Fresh101
Picked101
Done022
Total96399

Merged error: 0b

Counts
99 → 3

regimes121.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01416
11416

end0.0ms

sample2.3s

Algorithm
intervals
Results
893.0ms3013×body1280valid
451.0ms2424×body640valid
366.0ms8444×body80valid
178.0ms1339×body320valid
55.0ms608×body160valid