Details

Time bar (total: 3.4s)

sample97.0ms

Algorithm
intervals
Results
25.0ms66×body1280valid
21.0ms304×body80valid
19.0ms73×body640valid
5.0ms30×body320valid
3.0ms25×body160valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049707
149707

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

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

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×associate-*l* associate-/r* 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 → 68
Calls
3 calls:
1.0ms
(sinh y)
3.0ms
(/ (sinh y) x)
7.0ms
(* (sin x) (/ (sinh y) x))

series45.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
17.0ms
(/ (sinh y) x)
20.0ms
(* (sin x) (/ (sinh y) x))

simplify53.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04929627
14929627

prune94.0ms

Filtered
60 candidates to 77 candidates (-28.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New70777
Fresh011
Picked011
Done000
Total70979

Merged error: 0b

Counts
79 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (* (sinh y) (/ 1 x)))
0.2b
(* (sinh y) (/ 1 x))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
19×add-sqr-sqrt
17×add-cbrt-cube
14×associate-*r*
13×*-un-lft-identity prod-exp
12×add-cube-cbrt
11×times-frac
10×pow1
7×cbrt-unprod
6×associate-*r/ associate-*l*
5×sinh-def
4×div-exp pow-prod-down
3×add-log-exp unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ un-div-inv *-commutative
1×div-inv
Counts
3 → 72
Calls
3 calls:
1.0ms
(sinh y)
10.0ms
(* (sin x) (* (sinh y) (/ 1 x)))
7.0ms
(* (sinh y) (/ 1 x))

series42.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
20.0ms
(* (sin x) (* (sinh y) (/ 1 x)))
14.0ms
(* (sinh y) (/ 1 x))

simplify45.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04971545
14971545

prune83.0ms

Filtered
54 candidates to 81 candidates (-50.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New80181
Fresh347
Picked101
Done011
Total84690

Merged error: 0b

Counts
90 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

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

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×sinh-def associate-*l* associate-/r* associate-/l* add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 69
Calls
3 calls:
1.0ms
(sinh y)
7.0ms
(* (sinh y) (/ (sin x) x))
4.0ms
(/ (sin x) x)

series30.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
18.0ms
(* (sinh y) (/ (sin x) x))
4.0ms
(/ (sin x) x)

simplify43.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04952629
14952629

prune75.0ms

Filtered
62 candidates to 78 candidates (-25.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New77178
Fresh134
Picked011
Done011
Total78684

Merged error: 0b

Counts
84 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sinh y) (/ 1 (/ x (sin x))))
0.1b
(/ x (sin x))
0.3b
(/ 1 (/ x (sin x)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
104×add-sqr-sqrt
92×*-un-lft-identity
90×add-cube-cbrt
44×associate-*r*
36×add-exp-log
20×add-cbrt-cube
16×associate-/r*
15×div-exp
10×div-inv
7×pow1 cbrt-undiv prod-exp
6×associate-/l*
5×unswap-sqr
4×rec-exp 1-exp add-log-exp
3×sinh-def associate-*l* cbrt-unprod
2×frac-2neg clear-num associate-/r/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
4 → 186
Calls
4 calls:
1.0ms
(sinh y)
15.0ms
(* (sinh y) (/ 1 (/ x (sin x))))
5.0ms
(/ x (sin x))
6.0ms
(/ 1 (/ x (sin x)))

series39.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(sinh y)
20.0ms
(* (sinh y) (/ 1 (/ x (sin x))))
6.0ms
(/ x (sin x))
4.0ms
(/ 1 (/ x (sin x)))

simplify66.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
050101810

prune157.0ms

Filtered
136 candidates to 198 candidates (-45.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1980198
Fresh033
Picked011
Done022
Total1986204

Merged error: 0b

Counts
204 → 6

regimes144.0ms

Accuracy

0% (0.1b 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
077
177

end0.0ms

sample2.2s

Algorithm
intervals
Results
598.0ms1938×body1280valid
492.0ms10387×body80valid
395.0ms2021×body640valid
159.0ms1135×body320valid
59.0ms618×body160valid

Profiling

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