Details

Time bar (total: 11.9s)

sample94.0ms

Algorithm
intervals
Results
34.0ms59×body1280valid
17.0ms337×body80valid
14.0ms63×body640valid
8.0ms43×body320valid
2.0ms19×body160valid

simplify549.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.8b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
15.8b
(/ (* (sin x) (sinh y)) x)

rewrite30.0ms

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×sinh-def times-frac associate-*r* associate-*l* associate-/r* 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 → 49
Calls
3 calls:
1.0ms
(sinh y)
12.0ms
(* (sin x) (sinh y))
15.0ms
(/ (* (sin x) (sinh y)) x)

series262.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(sinh y)
93.0ms
(* (sin x) (sinh y))
105.0ms
(/ (* (sin x) (sinh y)) x)

simplify597.0ms

Counts
58 → 58

prune155.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

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:
2.0ms
(sinh y)
10.0ms
(/ (sinh y) x)
29.0ms
(* (sin x) (/ (sinh y) x))

series289.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(sinh y)
93.0ms
(/ (sinh y) x)
130.0ms
(* (sin x) (/ (sinh y) x))

simplify540.0ms

Counts
77 → 77

prune180.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ x (sinh y))
0.5b
(/ (sin x) (/ x (sinh y)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×associate-/r*
10×add-exp-log add-cbrt-cube
6×sinh-def associate-/r/ div-inv associate-/l*
4×cbrt-undiv div-exp
3×pow1 add-log-exp
2×frac-2neg clear-num
Counts
3 → 110
Calls
3 calls:
2.0ms
(sinh y)
8.0ms
(/ x (sinh y))
15.0ms
(/ (sin x) (/ x (sinh y)))

series341.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(sinh y)
148.0ms
(/ x (sinh y))
132.0ms
(/ (sin x) (/ x (sinh y)))

simplify781.0ms

Counts
119 → 119

prune392.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sinh y)
0.0b
(/ x (sinh y))
0.2b
(/ (/ x (sinh y)) (sin x))
0.5b
(/ 1 (/ (/ x (sinh y)) (sin x)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
501×times-frac
246×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
52×associate-/r*
32×add-exp-log
23×div-inv
20×add-cbrt-cube associate-/l*
19×div-exp
18×sinh-def associate-/r/
10×cbrt-undiv
5×pow1
4×add-log-exp
3×rec-exp frac-2neg 1-exp clear-num
1×pow-flip associate-/l/ inv-pow
Counts
4 → 322
Calls
4 calls:
2.0ms
(sinh y)
8.0ms
(/ x (sinh y))
19.0ms
(/ (/ x (sinh y)) (sin x))
34.0ms
(/ 1 (/ (/ x (sinh y)) (sin x)))

series643.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(sinh y)
191.0ms
(/ x (sinh y))
238.0ms
(/ (/ x (sinh y)) (sin x))
137.0ms
(/ 1 (/ (/ x (sinh y)) (sin x)))

simplify648.0ms

Counts
334 → 334

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes78.0ms

Accuracy

39.4% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify906.0ms

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.6s10330×body80valid
916.0ms1898×body1280valid
655.0ms1955×body640valid
211.0ms1092×body320valid
77.0ms562×body160valid