Details

sample374.0ms

Algorithm

intervals

Results

51.0ms	48×	body	1280	valid
29.0ms	42×	body	640	valid
20.0ms	138×	body	80	valid
10.0ms	256×	pre	80	true
8.0ms	16×	body	320	valid
4.0ms	12×	body	160	valid

simplify68.0ms

Counts: 1 → 1

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 65

Calls

2 calls:

Slowest

15.0ms	(* (/ e (fma (cos v) e 1)) (sin v))
4.0ms	(/ e (fma (cos v) e 1))

series231.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

126.0ms	(* (/ e (fma (cos v) e 1)) (sin v))
105.0ms	(/ e (fma (cos v) e 1))

simplify1.1s

Counts: 71 → 71

prune917.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

Slowest

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

series196.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

127.0ms	(/ (* e (sin v)) (fma (cos v) e 1))
69.0ms	(* e (sin v))

simplify986.0ms

Counts: 51 → 51

prune595.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ e (/ (fma (cos v) e 1) (sin v)))
0.1b	(/ (fma (cos v) e 1) (sin v))

rewrite20.0ms

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

14.0ms	(/ e (/ (fma (cos v) e 1) (sin v)))
5.0ms	(/ (fma (cos v) e 1) (sin v))

series229.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

131.0ms	(/ e (/ (fma (cos v) e 1) (sin v)))
98.0ms	(/ (fma (cos v) e 1) (sin v))

simplify1.4s

Counts: 109 → 109

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt (/ e (fma (cos v) e 1))) (sqrt (/ e (fma (cos v) e 1))))
0.1b	(* (* (sqrt (/ e (fma (cos v) e 1))) (sqrt (/ e (fma (cos v) e 1)))) (sin v))
0.0b	(/ e (fma (cos v) e 1))
0.0b	(/ e (fma (cos v) e 1))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-sqr-sqrt`
66×	`sqrt-prod`
60×	`times-frac`
53×	`*-un-lft-identity` `add-cube-cbrt`
24×	`pow1`
19×	`associate-r`
18×	`swap-sqr`
17×	`associate-l`
15×	`add-cbrt-cube` `add-exp-log`
10×	`unswap-sqr`
8×	`sqrt-pow1` `pow1/2` `sqrt-div`
6×	`associate-/r` `pow-prod-down` `div-inv` `associate-/l`
5×	`associate-*l/` `pow-prod-up`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-sqr`
2×	`frac-times` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-r/` `-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 175

Calls

4 calls:

Slowest

68.0ms	(* (* (sqrt (/ e (fma (cos v) e 1))) (sqrt (/ e (fma (cos v) e 1)))) (sin v))
22.0ms	(* (sqrt (/ e (fma (cos v) e 1))) (sqrt (/ e (fma (cos v) e 1))))
4.0ms	(/ e (fma (cos v) e 1))
4.0ms	(/ e (fma (cos v) e 1))

series379.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

113.0ms	(* (sqrt (/ e (fma (cos v) e 1))) (sqrt (/ e (fma (cos v) e 1))))
112.0ms	(* (* (sqrt (/ e (fma (cos v) e 1))) (sqrt (/ e (fma (cos v) e 1)))) (sin v))
80.0ms	(/ e (fma (cos v) e 1))
74.0ms	(/ e (fma (cos v) e 1))

simplify2.2s

Counts: 187 → 187

prune2.7s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes228.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.1s	1457×	body	1280	valid
1.1s	1227×	body	640	valid
902.0ms	4351×	body	80	valid
785.0ms	8000×	pre	80	true
434.0ms	603×	body	320	valid
228.0ms	362×	body	160	valid