Details

Time bar (total: 22.6s)

sample176.0ms

Algorithm
intervals
Results
61.0ms100×body1280valid
42.0ms297×body80valid
25.0ms71×body640valid
11.0ms48×body320valid
5.0ms30×body160valid

simplify2.3s

Counts
1 → 1
Iterations
IterNodes
done5000
74128
6824
5269
4137
367
230
115
06

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×*-un-lft-identity times-frac add-cube-cbrt
13×associate-*r*
10×add-cbrt-cube add-exp-log
5×pow1
3×expm1-log1p-u associate-/r* associate-*l* log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative associate-/l/
Counts
3 → 74
Calls
3 calls:
10.0ms
(/ (sinh y) y)
2.0ms
(sinh y)
23.0ms
(* (sin x) (/ (sinh y) y))

series347.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(/ (sinh y) y)
84.0ms
(sinh y)
154.0ms
(* (sin x) (/ (sinh y) y))

simplify1.3s

Counts
83 → 83
Iterations
IterNodes
done5000
21794
1362
0146

prune385.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
92×sqrt-prod
86×add-sqr-sqrt
62×times-frac
51×*-un-lft-identity add-cube-cbrt
26×pow1
19×associate-*l*
18×swap-sqr
17×associate-*r*
11×add-cbrt-cube add-exp-log
10×sqrt-pow1 pow1/2 sqrt-div unswap-sqr
6×pow-prod-down div-inv
5×associate-*r/ pow-prod-up
4×expm1-log1p-u rem-sqrt-square prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow-sqr
2×frac-times associate-*l/ *-commutative
1×pow2 rem-square-sqrt pow-plus sqrt-unprod
Counts
4 → 167
Calls
4 calls:
40.0ms
(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))
6.0ms
(sqrt (/ (sinh y) y))
7.0ms
(sqrt (/ (sinh y) y))
65.0ms
(* (sin x) (* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y))))

series492.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))
97.0ms
(sqrt (/ (sinh y) y))
94.0ms
(sqrt (/ (sinh y) y))
174.0ms
(* (sin x) (* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y))))

simplify2.6s

Counts
179 → 179
Iterations
IterNodes
done5000
11023
0376

prune873.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (* (* y y) 1/6) y y)
0.0b
(/ (fma (pow y 5) 1/120 (fma (* (* y y) 1/6) y y)) y)
0.0b
(* (sin x) (/ (fma (pow y 5) 1/120 (fma (* (* y y) 1/6) y y)) y))
0.2b
(* (* y y) 1/6)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
19×times-frac
16×add-cbrt-cube associate-*r* add-exp-log
11×pow1
5×prod-exp cbrt-unprod
4×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u add-log-exp
3×associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv div-exp *-commutative div-inv
1×clear-num frac-2neg associate-*r/ fma-udef
Counts
4 → 94
Calls
4 calls:
0.0ms
(fma (* (* y y) 1/6) y y)
5.0ms
(/ (fma (pow y 5) 1/120 (fma (* (* y y) 1/6) y y)) y)
24.0ms
(* (sin x) (/ (fma (pow y 5) 1/120 (fma (* (* y y) 1/6) y y)) y))
17.0ms
(* (* y y) 1/6)

series562.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(fma (* (* y y) 1/6) y y)
109.0ms
(/ (fma (pow y 5) 1/120 (fma (* (* y y) 1/6) y y)) y)
283.0ms
(* (sin x) (/ (fma (pow y 5) 1/120 (fma (* (* y y) 1/6) y y)) y))
36.0ms
(* (* y y) 1/6)

simplify1.7s

Counts
106 → 106
Iterations
IterNodes
done5000
22530
1388
0158

prune605.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize67.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (pow y 5) 1/120 (fma (* (* y y) 1/6) y y)))
0.6b
(cbrt (fma (pow y 5) 1/120 (fma (* (* y y) 1/6) y y)))
0.6b
(cbrt (fma (pow y 5) 1/120 (fma (* (* y y) 1/6) y y)))
8.2b
(* (* (sin x) (/ (* (cbrt (fma (pow y 5) 1/120 (fma (* (* y y) 1/6) y y))) (cbrt (fma (pow y 5) 1/120 (fma (* (* y y) 1/6) y y)))) 1)) (/ (cbrt (fma (pow y 5) 1/120 (fma (* (* y y) 1/6) y y))) y))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
28×add-cbrt-cube
26×prod-exp
22×associate-*r*
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×cbrt-prod times-frac
16×cbrt-unprod
14×div-exp
9×pow1
8×cbrt-undiv
4×expm1-log1p-u 1-exp log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down associate-*r/
1×frac-times associate-*l* associate-*l/ *-commutative div-inv
Counts
4 → 97
Calls
4 calls:
1.0ms
(cbrt (fma (pow y 5) 1/120 (fma (* (* y y) 1/6) y y)))
1.0ms
(cbrt (fma (pow y 5) 1/120 (fma (* (* y y) 1/6) y y)))
1.0ms
(cbrt (fma (pow y 5) 1/120 (fma (* (* y y) 1/6) y y)))
91.0ms
(* (* (sin x) (/ (* (cbrt (fma (pow y 5) 1/120 (fma (* (* y y) 1/6) y y))) (cbrt (fma (pow y 5) 1/120 (fma (* (* y y) 1/6) y y)))) 1)) (/ (cbrt (fma (pow y 5) 1/120 (fma (* (* y y) 1/6) y y))) y))

series799.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt (fma (pow y 5) 1/120 (fma (* (* y y) 1/6) y y)))
199.0ms
(cbrt (fma (pow y 5) 1/120 (fma (* (* y y) 1/6) y y)))
171.0ms
(cbrt (fma (pow y 5) 1/120 (fma (* (* y y) 1/6) y y)))
249.0ms
(* (* (sin x) (/ (* (cbrt (fma (pow y 5) 1/120 (fma (* (* y y) 1/6) y y))) (cbrt (fma (pow y 5) 1/120 (fma (* (* y y) 1/6) y y)))) 1)) (/ (cbrt (fma (pow y 5) 1/120 (fma (* (* y y) 1/6) y y))) y))

simplify3.9s

Counts
109 → 109
Iterations
IterNodes
done5000
24592
1663
0210

prune774.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes238.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done9
19
08

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.3s2890×body1280valid
898.0ms2496×body640valid
844.0ms8553×body80valid
254.0ms1231×body320valid
84.0ms601×body160valid