Details

Time bar (total: 15.1s)

sample67.0ms

Algorithm
intervals
Results
26.0ms87×body1280valid
12.0ms63×body640valid
11.0ms256×body80valid
4.0ms32×body320valid
1.0ms14×body160valid

simplify6.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1157
2297
3647
41387
52567
65157
714747
837227
done50007

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

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)
9.0ms
(* (sin x) (/ (sinh y) y))

series263.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(/ (sinh y) y)
57.0ms
(sinh y)
122.0ms
(* (sin x) (/ (sinh y) y))

simplify551.0ms

Counts
83 → 83
Iterations

Useful iterations: done (549.0ms)

IterNodesCost
0146764
1353716
21337650
done5000638

prune197.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sinh y) y)
0.0b
(expm1 (log1p (/ (sinh y) y)))
0.2b
(* (sin x) (expm1 (log1p (/ (sinh y) y))))
0.3b
(log1p (/ (sinh y) y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
9×times-frac
8×add-exp-log add-cbrt-cube
6×pow1
5×expm1-log1p-u
4×log1p-expm1-u add-log-exp
3×associate-*r* associate-*l* associate-/r* associate-/l*
1×cbrt-undiv sinh-def log1p-udef expm1-log1p frac-2neg log1p-expm1 div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv associate-/l/ expm1-udef unswap-sqr
Counts
4 → 72
Calls
4 calls:
2.0ms
(/ (sinh y) y)
0.0ms
(expm1 (log1p (/ (sinh y) y)))
4.0ms
(* (sin x) (expm1 (log1p (/ (sinh y) y))))
0.0ms
(log1p (/ (sinh y) y))

series714.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(/ (sinh y) y)
366.0ms
(expm1 (log1p (/ (sinh y) y)))
172.0ms
(* (sin x) (expm1 (log1p (/ (sinh y) y))))
90.0ms
(log1p (/ (sinh y) y))

simplify593.0ms

Counts
84 → 84
Iterations

Useful iterations: done (591.0ms)

IterNodesCost
02071020
1517882
21880786
done5000764

prune242.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sin x) (sqrt (/ (sinh y) y)))
0.0b
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
0.2b
(sqrt (/ (sinh y) y))
0.2b
(sqrt (/ (sinh y) y))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
54×sqrt-prod
48×add-sqr-sqrt
39×times-frac
35×add-cube-cbrt *-un-lft-identity
32×associate-*r*
13×pow1
11×add-exp-log add-cbrt-cube
7×sqrt-div
4×expm1-log1p-u rem-sqrt-square associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
3×unswap-sqr
2×sqrt-pow1 pow1/2 *-commutative
1×frac-times associate-*l/
Counts
4 → 126
Calls
4 calls:
10.0ms
(* (sin x) (sqrt (/ (sinh y) y)))
22.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
2.0ms
(sqrt (/ (sinh y) y))
3.0ms
(sqrt (/ (sinh y) y))

series471.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(* (sin x) (sqrt (/ (sinh y) y)))
123.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
80.0ms
(sqrt (/ (sinh y) y))
81.0ms
(sqrt (/ (sinh y) y))

simplify394.0ms

Counts
138 → 138
Iterations

Useful iterations: done (390.0ms)

IterNodesCost
03832643
111172296
done50002117

prune475.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (sqrt (/ (sinh y) y)) 3)
0.2b
(sqrt (/ (sinh y) y))
0.2b
(sqrt (/ (sinh y) y))
0.2b
(cbrt (pow (sqrt (/ (sinh y) y)) 3))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
78×sqrt-prod
58×add-sqr-sqrt
56×times-frac
52×add-cube-cbrt *-un-lft-identity
38×cbrt-prod
32×unpow-prod-down cube-prod
8×pow1
6×div-inv
5×add-exp-log add-cbrt-cube
4×expm1-log1p-u rem-sqrt-square sqrt-div log1p-expm1-u add-log-exp
3×pow-unpow pow-pow sqrt-pow1 pow1/2
2×cube-div cube-mult unpow3 sqr-pow
1×pow-to-exp cbrt-div pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 159
Calls
4 calls:
5.0ms
(pow (sqrt (/ (sinh y) y)) 3)
3.0ms
(sqrt (/ (sinh y) y))
3.0ms
(sqrt (/ (sinh y) y))
6.0ms
(cbrt (pow (sqrt (/ (sinh y) y)) 3))

series365.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(pow (sqrt (/ (sinh y) y)) 3)
80.0ms
(sqrt (/ (sinh y) y))
81.0ms
(sqrt (/ (sinh y) y))
77.0ms
(cbrt (pow (sqrt (/ (sinh y) y)) 3))

simplify1.4s

Counts
171 → 171
Iterations

Useful iterations: done (1.4s)

IterNodesCost
03683317
110452681
235372457
done50002421

prune540.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes79.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01117
11317
done1317

end0.0ms

sample2.3s

Algorithm
intervals
Results
871.0ms2934×body1280valid
461.0ms2478×body640valid
382.0ms8581×body80valid
164.0ms1247×body320valid
55.0ms618×body160valid