Details

sample121.0ms

Algorithm

intervals

Results

40.0ms	91×	body	1280	valid
23.0ms	288×	body	80	valid
22.0ms	75×	body	640	valid
9.0ms	46×	body	320	valid
3.0ms	21×	body	160	valid

simplify616.0ms

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	(* (cos x) (/ (sinh y) y))
0.0b	(sinh 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:

33.0ms	(/ (sinh y) y)
17.0ms	(* (cos x) (/ (sinh y) y))
1.0ms	(sinh y)

series279.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(/ (sinh y) y)
109.0ms	(* (cos x) (/ (sinh y) y))
73.0ms	(sinh y)

simplify593.0ms

Counts: 77 → 77

prune235.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

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:

41.0ms	(* (cos x) (cbrt (pow (/ (sinh y) y) 3)))
1.0ms	(sinh y)
6.0ms	(cbrt (pow (/ (sinh y) y) 3))
7.0ms	(pow (/ (sinh y) y) 3)

series482.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (cos x) (cbrt (pow (/ (sinh y) y) 3)))
73.0ms	(sinh y)
118.0ms	(cbrt (pow (/ (sinh y) y) 3))
173.0ms	(pow (/ (sinh y) y) 3)

simplify1.2s

Counts: 165 → 165

prune386.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ 1 6) (pow y 3)) y)
0.0b	(/ (+ (/ (pow y 5) 120) (+ (* (/ 1 6) (pow y 3)) y)) y)
0.0b	(/ (pow y 5) 120)
0.1b	(* (/ 1 6) (pow y 3))

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
50×	`times-frac`
39×	`add-cube-cbrt`
34×	`add-exp-log`
18×	`unpow-prod-down`
13×	`associate-l` `add-cbrt-cube`
12×	`associate-r` `prod-exp` `unswap-sqr`
11×	`associate-/l*`
10×	`div-exp`
8×	`sqr-pow`
6×	`cube-prod` `associate-/r*` `add-log-exp`
5×	`pow-to-exp` `pow-exp`
4×	`pow1` `associate-/l/` `distribute-lft-out`
3×	`cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `flip-+` `div-inv`
2×	`frac-2neg` `frac-add` `clear-num` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `unpow3` `associate-l/` `sum-log` `-commutative`

Counts

4 → 151

Calls

4 calls:

15.0ms	(+ (* (/ 1 6) (pow y 3)) y)
200.0ms	(/ (+ (/ (pow y 5) 120) (+ (* (/ 1 6) (pow y 3)) y)) y)
13.0ms	(/ (pow y 5) 120)
41.0ms	(* (/ 1 6) (pow y 3))

series330.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(+ (* (/ 1 6) (pow y 3)) y)
119.0ms	(/ (+ (/ (pow y 5) 120) (+ (* (/ 1 6) (pow y 3)) y)) y)
72.0ms	(/ (pow y 5) 120)
40.0ms	(* (/ 1 6) (pow y 3))

simplify1.2s

Counts: 163 → 163

prune642.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes87.0ms

Accuracy

1084% (-0.1b remaining)

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

bsearch0.0ms

simplify1.3s

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.5s	3012×	body	1280	valid
1.2s	2439×	body	640	valid
656.0ms	1198×	body	320	valid
602.0ms	8611×	body	80	valid
75.0ms	577×	body	160	valid