Details

sample136.0ms

Algorithm

intervals

Results

45.0ms	106×	body	1280	valid
31.0ms	254×	body	80	valid
23.0ms	76×	body	640	valid
10.0ms	42×	body	320	valid
2.0ms	16×	body	160	valid

simplify688.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

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:

3.0ms	(sinh y)
15.0ms	(/ (sinh y) y)
25.0ms	(* (sin x) (/ (sinh y) y))

series458.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(sinh y)
149.0ms	(/ (sinh y) y)
220.0ms	(* (sin x) (/ (sinh y) y))

simplify596.0ms

Counts: 77 → 77

prune268.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))
0.6b	(cbrt (* (sin x) (/ (sinh y) y)))
0.6b	(cbrt (* (sin x) (/ (sinh y) y)))
0.6b	(cbrt (* (sin x) (/ (sinh y) y)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
7×	`cbrt-prod` `cbrt-div`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

34.0ms	(* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))
8.0ms	(cbrt (* (sin x) (/ (sinh y) y)))
9.0ms	(cbrt (* (sin x) (/ (sinh y) y)))
12.0ms	(cbrt (* (sin x) (/ (sinh y) y)))

series1.5s

Counts

4 → 12

Calls

4 calls:

454.0ms	(* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))
372.0ms	(cbrt (* (sin x) (/ (sinh y) y)))
323.0ms	(cbrt (* (sin x) (/ (sinh y) y)))
329.0ms	(cbrt (* (sin x) (/ (sinh y) y)))

simplify1.7s

Counts: 76 → 76

prune316.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
13.1b	(/ (* (sin x) (sinh y)) y)

rewrite47.0ms

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)
17.0ms	(* (sin x) (sinh y))
27.0ms	(/ (* (sin x) (sinh y)) y)

series420.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(sinh y)
151.0ms	(* (sin x) (sinh y))
165.0ms	(/ (* (sin x) (sinh y)) y)

simplify669.0ms

Counts: 58 → 58

prune164.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(* (sin x) (/ (sinh y) y))
0.1b	(exp (* (sin x) (/ (sinh y) y)))
3.3b	(log (exp (* (sin x) (/ (sinh y) y))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `add-log-exp`
3×	`log-prod` `associate-l` `associate-/r` `log-pow` `associate-/l`
2×	`cbrt-undiv` `exp-prod` `exp-to-pow` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`sinh-def` `frac-2neg` `associate-r/` `rem-log-exp` `pow-prod-down` `clear-num` `-commutative` `rem-exp-log` `associate-/l/`

Counts

4 → 84

Calls

4 calls:

10.0ms	(/ (sinh y) y)
19.0ms	(* (sin x) (/ (sinh y) y))
19.0ms	(exp (* (sin x) (/ (sinh y) y)))
9.0ms	(log (exp (* (sin x) (/ (sinh y) y))))

series575.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(/ (sinh y) y)
171.0ms	(* (sin x) (/ (sinh y) y))
153.0ms	(exp (* (sin x) (/ (sinh y) y)))
140.0ms	(log (exp (* (sin x) (/ (sinh y) y))))

simplify806.0ms

Counts: 96 → 96

prune414.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes149.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify711.0ms

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.4s	3006×	body	1280	valid
1.4s	2487×	body	640	valid
704.0ms	8387×	body	80	valid
326.0ms	1249×	body	320	valid
94.0ms	589×	body	160	valid