Details

sample252.0ms

Algorithm

intervals

Results

58.0ms	41×	body	640	valid
46.0ms	52×	body	1280	valid
19.0ms	143×	body	80	valid
10.0ms	256×	pre	80	true
4.0ms	10×	body	320	valid
3.0ms	10×	body	160	valid

simplify246.0ms

Counts: 1 → 1

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 3 expressions with local error:

0.1b	(* e (sin v))
0.1b	(* e (cos v))
0.0b	(/ (* e (sin v)) (+ 1 (* e (cos v))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow1`
6×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv` `associate-/l*`

Counts

3 → 68

Calls

3 calls:

Slowest

16.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
11.0ms	(* e (sin v))
8.0ms	(* e (cos v))

series191.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

90.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
61.0ms	(* e (sin v))
40.0ms	(* e (cos v))

simplify250.0ms

Counts: 81 → 77

prune739.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (fma e (cos v) 1) (sin v))
0.2b	(/ e (/ (fma e (cos v) 1) (sin v)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
9×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 103

Calls

2 calls:

Slowest

10.0ms	(/ e (/ (fma e (cos v) 1) (sin v)))
5.0ms	(/ (fma e (cos v) 1) (sin v))

series222.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

117.0ms	(/ e (/ (fma e (cos v) 1) (sin v)))
105.0ms	(/ (fma e (cos v) 1) (sin v))

simplify584.0ms

Counts: 159 → 109

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt e) (sin v))
0.2b	(* (sqrt e) (* (sqrt e) (sin v)))
0.1b	(* e (cos v))
0.0b	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-cbrt-cube` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`associate-l`
13×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-r` `sqrt-prod`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/r` `times-frac` `div-exp` `-commutative` `unswap-sqr`
2×	`associate-/r/`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 98

Calls

4 calls:

Slowest

57.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
53.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
19.0ms	(* (sqrt e) (sin v))
15.0ms	(* e (cos v))

series807.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

508.0ms	(* (sqrt e) (sin v))
148.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
84.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
67.0ms	(* e (cos v))

simplify704.0ms

Counts: 114 → 110

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt e)
0.6b	(cbrt e)
0.6b	(cbrt e)
0.6b	(* (cbrt e) (cbrt e))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

Slowest

7.0ms	(* (cbrt e) (cbrt e))
1.0ms	(cbrt e)
1.0ms	(cbrt e)
1.0ms	(cbrt e)

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

344.0ms	(* (cbrt e) (cbrt e))
294.0ms	(cbrt e)
266.0ms	(cbrt e)
261.0ms	(cbrt e)

simplify412.0ms

Counts: 111 → 97

prune1.6s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes170.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.0s	1514×	body	1280	valid
1.6s	1247×	body	640	valid
787.0ms	4291×	body	80	valid
436.0ms	622×	body	320	valid
414.0ms	8000×	pre	80	true
164.0ms	326×	body	160	valid