Details

Time bar (total: 5.2s)

sample85.0ms

Algorithm
intervals
Results
37.0ms113×body1280valid
13.0ms277×body80valid
13.0ms66×body640valid
5.0ms38×body320valid
2.0ms23×body160valid

simplify44.0ms

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

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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:
3.0ms
(/ (sinh y) y)
1.0ms
(sinh y)
7.0ms
(* (sin x) (/ (sinh y) y))

series244.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(/ (sinh y) y)
60.0ms
(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

prune152.0ms

Filtered
83 candidates to 67 candidates (80.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New80383
Fresh000
Picked101
Done000
Total81384

Merged error: 0b

Counts
84 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
32×associate-*r*
28×add-sqr-sqrt sqrt-prod
21×add-cube-cbrt *-un-lft-identity
19×times-frac
11×pow1 add-exp-log add-cbrt-cube
5×sqrt-div
4×expm1-log1p-u associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×unswap-sqr
2×sinh-def *-commutative div-inv
1×frac-times associate-*l/
Counts
4 → 92
Calls
4 calls:
8.0ms
(* (sin x) (sqrt (/ (sinh y) y)))
1.0ms
(sinh y)
1.0ms
(sinh y)
11.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series433.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(* (sin x) (sqrt (/ (sinh y) y)))
77.0ms
(sinh y)
60.0ms
(sinh y)
118.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify114.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (104.0ms)

IterNodesCost
08851066
14347933
25002893

prune274.0ms

Filtered
104 candidates to 85 candidates (81.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1040104
Fresh022
Picked011
Done000
Total1043107

Merged error: 0b

Counts
107 → 3

localize18.0ms

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))))
0.3b
(log1p (* (sin x) (/ (sinh y) y)))

rewrite24.0ms

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:
2.0ms
(sinh y)
16.0ms
(* (sin x) (/ (sinh y) y))
1.0ms
(expm1 (log1p (* (sin x) (/ (sinh y) y))))
1.0ms
(log1p (* (sin x) (/ (sinh y) y)))

series608.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(sinh y)
99.0ms
(* (sin x) (/ (sinh y) y))
166.0ms
(expm1 (log1p (* (sin x) (/ (sinh y) y))))
281.0ms
(log1p (* (sin x) (/ (sinh y) y)))

simplify67.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0582613
12720554
25001546

prune180.0ms

Filtered
78 candidates to 65 candidates (83.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh011
Picked011
Done011
Total78381

Merged error: 0b

Counts
81 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
12.5b
(/ (* (sin x) (sinh y)) y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×pow1
3×expm1-log1p-u sinh-def times-frac associate-*r* associate-*l* associate-/r* log1p-expm1-u add-log-exp
2×cbrt-undiv associate-*r/ div-exp prod-exp cbrt-unprod
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
3 → 55
Calls
3 calls:
1.0ms
(sinh y)
4.0ms
(* (sin x) (sinh y))
5.0ms
(/ (* (sin x) (sinh y)) y)

series246.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(sinh y)
83.0ms
(* (sin x) (sinh y))
99.0ms
(/ (* (sin x) (sinh y)) y)

simplify42.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0291340
11275291
25001273

prune107.0ms

Filtered
64 candidates to 49 candidates (76.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh000
Picked011
Done022
Total64367

Merged error: 0b

Counts
67 → 3

regimes87.0ms

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
0109
1109

end0.0ms

sample2.4s

Algorithm
intervals
Results
953.0ms3027×body1280valid
489.0ms2528×body640valid
398.0ms8485×body80valid
180.0ms1261×body320valid
65.0ms627×body160valid

Profiling

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