Details

sample99.0ms

Algorithm

intervals

Results

34.0ms	92×	body	1280	valid
19.0ms	288×	body	80	valid
16.0ms	74×	body	640	valid
8.0ms	47×	body	320	valid
2.0ms	20×	body	160	valid

simplify721.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

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:

8.0ms	(/ (sinh y) y)
23.0ms	(sinh y)
19.0ms	(* (sin x) (/ (sinh y) y))

series295.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(/ (sinh y) y)
67.0ms	(sinh y)
127.0ms	(* (sin x) (/ (sinh y) y))

simplify612.0ms

Counts: 77 → 77

prune271.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
0.0b	(cbrt (pow (/ (sinh y) y) 3))
0.0b	(pow (/ (sinh y) y) 3)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-prod`
66×	`add-sqr-sqrt`
56×	`times-frac`
51×	`add-cube-cbrt` `*-un-lft-identity`
41×	`unpow-prod-down` `cube-prod`
35×	`associate-r`
9×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`pow1` `unswap-sqr`
6×	`div-inv`
4×	`add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `associate-l`
2×	`cbrt-div` `pow-exp` `rem-cube-cbrt`
1×	`cbrt-undiv` `pow-to-exp` `sinh-def` `pow-pow` `pow1/3` `associate-r/` `div-exp` `pow-prod-down` `prod-exp` `-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 153

Calls

4 calls:

1.0ms	(sinh y)
48.0ms	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
7.0ms	(cbrt (pow (/ (sinh y) y) 3))
8.0ms	(pow (/ (sinh y) y) 3)

series546.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(sinh y)
180.0ms	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
138.0ms	(cbrt (pow (/ (sinh y) y) 3))
134.0ms	(pow (/ (sinh y) y) 3)

simplify1.2s

Counts: 165 → 165

prune390.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
16.0b	(/ (* (sin x) (sinh y)) y)

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×	`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:

2.0ms	(sinh y)
20.0ms	(* (sin x) (sinh y))
28.0ms	(/ (* (sin x) (sinh y)) y)

series300.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(sinh y)
97.0ms	(* (sin x) (sinh y))
135.0ms	(/ (* (sin x) (sinh y)) y)

simplify622.0ms

Counts: 58 → 58

prune179.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`add-sqr-sqrt` `pow-prod-down`
17×	`associate-r`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1/2`
11×	`add-exp-log` `add-cbrt-cube`
10×	`times-frac` `pow-prod-up`
8×	`associate-*r/`
7×	`associate-l`
6×	`sqrt-div` `sqrt-prod` `pow-sqr`
4×	`swap-sqr` `add-log-exp`
3×	`prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`*-commutative`
1×	`cbrt-undiv` `pow2` `frac-times` `pow-plus` `sqrt-unprod` `div-exp` `associate-*l/` `rem-square-sqrt` `div-inv`

Counts

4 → 108

Calls

4 calls:

21.0ms	(* (sin x) (/ (sinh y) y))
7.0ms	(sqrt (* (sin x) (/ (sinh y) y)))
7.0ms	(sqrt (* (sin x) (/ (sinh y) y)))
68.0ms	(* (sqrt (* (sin x) (/ (sinh y) y))) (sqrt (* (sin x) (/ (sinh y) y))))

series1.2s

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (sin x) (/ (sinh y) y))
368.0ms	(sqrt (* (sin x) (/ (sinh y) y)))
474.0ms	(sqrt (* (sin x) (/ (sinh y) y)))
248.0ms	(* (sqrt (* (sin x) (/ (sinh y) y))) (sqrt (* (sin x) (/ (sinh y) y))))

simplify2.0s

Counts: 120 → 120

prune388.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes94.0ms

Accuracy

93.9% (0.0b remaining)

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

bsearch0.0ms

simplify1.2s

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.4s	3013×	body	1280	valid
841.0ms	2437×	body	640	valid
741.0ms	8601×	body	80	valid
284.0ms	1197×	body	320	valid
80.0ms	584×	body	160	valid