Details

sample378.0ms

Algorithm

intervals

Results

50.0ms	53×	body	1280	valid
26.0ms	41×	body	640	valid
19.0ms	125×	body	80	valid
12.0ms	19×	body	320	valid
9.0ms	256×	pre	80	true
5.0ms	18×	body	160	valid

simplify204.0ms

Counts: 1 → 1

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

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))

rewrite36.0ms

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

28.0ms	(* (/ e (fma (cos v) e 1)) (sin v))
5.0ms	(/ e (fma (cos v) e 1))

series165.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

104.0ms	(* (/ e (fma (cos v) e 1)) (sin v))
60.0ms	(/ e (fma (cos v) e 1))

simplify718.0ms

Counts: 71 → 71

prune627.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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))

series183.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

130.0ms	(/ (* e (sin v)) (fma (cos v) e 1))
52.0ms	(* e (sin v))

simplify957.0ms

Counts: 51 → 51

prune555.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ 1 (/ (fma (cos v) e 1) e))
0.1b	(* (/ 1 (/ (fma (cos v) e 1) e)) (sin v))
0.0b	(/ (fma (cos v) e 1) e)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-l`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `associate-r` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 184

Calls

3 calls:

Slowest

36.0ms	(* (/ 1 (/ (fma (cos v) e 1) e)) (sin v))
8.0ms	(/ (fma (cos v) e 1) e)
6.0ms	(/ 1 (/ (fma (cos v) e 1) e))

series269.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

103.0ms	(* (/ 1 (/ (fma (cos v) e 1) e)) (sin v))
90.0ms	(/ 1 (/ (fma (cos v) e 1) e))
76.0ms	(/ (fma (cos v) e 1) e)

simplify807.0ms

Counts: 193 → 193

prune2.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (sin v) (/ (fma (cos v) e 1) e))
0.0b	(/ (fma (cos v) e 1) e)

rewrite29.0ms

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

19.0ms	(/ (sin v) (/ (fma (cos v) e 1) e))
8.0ms	(/ (fma (cos v) e 1) e)

series192.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

107.0ms	(/ (sin v) (/ (fma (cos v) e 1) e))
85.0ms	(/ (fma (cos v) e 1) e)

simplify1.4s

Counts: 109 → 109

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes90.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.0s	1575×	body	1280	valid
1.3s	4255×	body	80	valid
1.1s	1241×	body	640	valid
450.0ms	614×	body	320	valid
366.0ms	8000×	pre	80	true
120.0ms	315×	body	160	valid