Details

Time bar (total: 19.7s)

sample160.0ms

Algorithm
intervals
Results
35.0ms79×body640valid
35.0ms364×body80valid
33.0ms52×body1280valid
14.0ms44×body320valid
4.0ms19×body160valid

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1157
2327
3697
41467
52967
68847
744737
done50007

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
11.9b
(/ (* (sin x) (sinh y)) x)

rewrite52.0ms

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:
2.0ms
(sinh y)
22.0ms
(* (sin x) (sinh y))
25.0ms
(/ (* (sin x) (sinh y)) x)

series428.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(sinh y)
143.0ms
(* (sin x) (sinh y))
186.0ms
(/ (* (sin x) (sinh y)) x)

simplify990.0ms

Counts
64 → 64
Iterations

Useful iterations: done (988.0ms)

IterNodesCost
0123572
1302546
21572486
done5002481

prune394.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

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:
13.0ms
(/ (sinh y) x)
3.0ms
(sinh y)
40.0ms
(* (sin x) (/ (sinh y) x))

series399.0ms

Counts
3 → 9
Calls
3 calls:
133.0ms
(/ (sinh y) x)
108.0ms
(sinh y)
159.0ms
(* (sin x) (/ (sinh y) x))

simplify1.4s

Counts
83 → 83
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0146770
1357731
21682662
done5001655

prune505.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) x)
0.2b
(* (sin x) (/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) x))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 63
Calls
2 calls:
8.0ms
(/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) x)
28.0ms
(* (sin x) (/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) x))

series471.0ms

Counts
2 → 6
Calls
2 calls:
131.0ms
(/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) x)
340.0ms
(* (sin x) (/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) x))

simplify1.3s

Counts
69 → 69
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01211471
12881443
214791298
done50001293

prune552.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma 1/6 (/ (* (sin x) (pow y 3)) x) (* 1/120 (/ (* (sin x) (pow y 5)) x)))
0.1b
(/ (sin x) x)
4.5b
(/ (* (sin x) (pow y 5)) x)
6.4b
(/ (* (sin x) (pow y 3)) x)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
15×times-frac
9×div-exp associate-/r*
6×prod-exp
5×cbrt-undiv associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num div-inv
2×pow-to-exp pow-exp cbrt-unprod
1×fma-udef
Counts
4 → 89
Calls
4 calls:
1.0ms
(fma 1/6 (/ (* (sin x) (pow y 3)) x) (* 1/120 (/ (* (sin x) (pow y 5)) x)))
16.0ms
(/ (sin x) x)
33.0ms
(/ (* (sin x) (pow y 5)) x)
27.0ms
(/ (* (sin x) (pow y 3)) x)

series904.0ms

Counts
4 → 12
Calls
4 calls:
496.0ms
(fma 1/6 (/ (* (sin x) (pow y 3)) x) (* 1/120 (/ (* (sin x) (pow y 5)) x)))
48.0ms
(/ (sin x) x)
215.0ms
(/ (* (sin x) (pow y 5)) x)
144.0ms
(/ (* (sin x) (pow y 3)) x)

simplify1.5s

Counts
101 → 101
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01621223
13921172
222461043
done50021040

prune790.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes327.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01726
12026
done2026

end0.0ms

sample5.1s

Algorithm
intervals
Results
1.4s1889×body640valid
1.3s1895×body1280valid
1.1s10272×body80valid
390.0ms1119×body320valid
158.0ms608×body160valid