Details

sample385.0ms

Algorithm

intervals

Results

118.0ms	40×	body	640	valid
65.0ms	51×	body	1280	valid
26.0ms	134×	body	80	valid
12.0ms	17×	body	320	valid
12.0ms	256×	pre	80	true
6.0ms	14×	body	160	valid

simplify111.0ms

Counts: 1 → 1

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

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))

rewrite41.0ms

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

29.0ms	(* (/ e (fma (cos v) e 1)) (sin v))
8.0ms	(/ e (fma (cos v) e 1))

series281.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

175.0ms	(* (/ e (fma (cos v) e 1)) (sin v))
106.0ms	(/ e (fma (cos v) e 1))

simplify937.0ms

Counts: 71 → 71

prune666.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`times-frac` `add-cube-cbrt`
19×	`add-cbrt-cube`
16×	`associate-r`
13×	`prod-exp`
11×	`pow1`
7×	`cbrt-unprod`
6×	`div-exp`
4×	`associate-l` `pow-prod-down`
3×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `associate-/r` `1-exp` `insert-posit16` `log1p-expm1-u` `associate-/l` `add-log-exp` `unswap-sqr`
2×	`associate-l/` `associate-r/` `un-div-inv` `*-commutative` `div-inv`
1×	`clear-num` `frac-2neg` `pow-flip` `inv-pow`

Counts

3 → 100

Calls

3 calls:

Slowest

51.0ms	(* (* e (/ 1 (fma (cos v) e 1))) (sin v))
13.0ms	(* e (/ 1 (fma (cos v) e 1)))
8.0ms	(/ 1 (fma (cos v) e 1))

series246.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

125.0ms	(* (* e (/ 1 (fma (cos v) e 1))) (sin v))
72.0ms	(* e (/ 1 (fma (cos v) e 1)))
49.0ms	(/ 1 (fma (cos v) e 1))

simplify1.4s

Counts: 109 → 109

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

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)

rewrite63.0ms

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

37.0ms	(* (/ 1 (/ (fma (cos v) e 1) e)) (sin v))
13.0ms	(/ 1 (/ (fma (cos v) e 1) e))
7.0ms	(/ (fma (cos v) e 1) e)

series288.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

107.0ms	(/ 1 (/ (fma (cos v) e 1) e))
99.0ms	(* (/ 1 (/ (fma (cos v) e 1) e)) (sin v))
82.0ms	(/ (fma (cos v) e 1) e)

simplify1.3s

Counts: 193 → 193

prune2.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
41×	`times-frac`
37×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
21×	`associate-l`
16×	`add-exp-log` `distribute-lft-out`
13×	`fma-def`
11×	`div-inv`
10×	`add-cbrt-cube`
6×	`pow1`
5×	`associate-/r*` `add-log-exp`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `flip3-+` `associate-r` `flip-+` `insert-posit16` `log1p-expm1-u` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 119

Calls

3 calls:

Slowest

42.0ms	(* (/ 1 (+ (/ 1 e) (cos v))) (sin v))
25.0ms	(/ 1 (+ (/ 1 e) (cos v)))
11.0ms	(+ (/ 1 e) (cos v))

series153.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

61.0ms	(* (/ 1 (+ (/ 1 e) (cos v))) (sin v))
54.0ms	(+ (/ 1 e) (cos v))
39.0ms	(/ 1 (+ (/ 1 e) (cos v)))

simplify1.1s

Counts: 128 → 128

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes197.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.3s	1477×	body	1280	valid
1.3s	1238×	body	640	valid
813.0ms	4334×	body	80	valid
463.0ms	641×	body	320	valid
299.0ms	8000×	pre	80	true
194.0ms	310×	body	160	valid