Details

sample324.0ms

Algorithm

intervals

Results

57.0ms	36×	body	1280	valid
46.0ms	153×	body	80	valid
14.0ms	33×	body	640	valid
8.0ms	24×	body	320	valid
7.0ms	256×	pre	80	true
3.0ms	10×	body	160	valid

simplify44.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	9	11
1	14	11
2	20	10
3	23	10
4	24	10
done	24	10

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* e (sin v)) (fma (cos v) e 1.0))
0.1b	(* e (sin v))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

23.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
24.0ms	(* e (sin v))

series246.0ms

Counts

2 → 6

Calls

2 calls:

158.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
88.0ms	(* e (sin v))

simplify867.0ms

Counts

49 → 49

Iterations

Useful iterations: done (863.0ms)

Iter	Nodes	Cost
0	93	565
1	228	549
2	1160	477
done	5001	471

prune212.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (fma (cos v) e 1.0) (sin v))
0.2b	(/ e (/ (fma (cos v) e 1.0) (sin v)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 101

Calls

2 calls:

12.0ms	(/ (fma (cos v) e 1.0) (sin v))
26.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

series237.0ms

Counts

2 → 6

Calls

2 calls:

110.0ms	(/ (fma (cos v) e 1.0) (sin v))
126.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify1.6s

Counts

107 → 107

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	197	1980
1	488	1910
2	2284	1789
done	5000	1783

prune510.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sqrt e) (fma (cos v) e 1.0))
0.3b	(* (sqrt e) (sin v))
0.3b	(* (/ (sqrt e) (fma (cos v) e 1.0)) (* (sqrt e) (sin v)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
36×	`times-frac`
34×	`add-cube-cbrt` `*-un-lft-identity`
28×	`associate-l`
25×	`sqrt-prod`
19×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-/l*`
4×	`associate-r` `pow-prod-down`
3×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-*l/` `clear-num`

Counts

3 → 109

Calls

3 calls:

13.0ms	(/ (sqrt e) (fma (cos v) e 1.0))
33.0ms	(* (sqrt e) (sin v))
57.0ms	(* (/ (sqrt e) (fma (cos v) e 1.0)) (* (sqrt e) (sin v)))

series373.0ms

Counts

3 → 9

Calls

3 calls:

129.0ms	(/ (sqrt e) (fma (cos v) e 1.0))
99.0ms	(* (sqrt e) (sin v))
145.0ms	(* (/ (sqrt e) (fma (cos v) e 1.0)) (* (sqrt e) (sin v)))

simplify1.8s

Counts

118 → 118

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	232	1979
1	640	1892
2	3145	1596
done	5001	1559

prune486.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt e) (cbrt e))
0.6b	(cbrt e)
0.6b	(cbrt e)
0.6b	(cbrt e)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `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 → 81

Calls

4 calls:

12.0ms	(* (cbrt e) (cbrt e))
1.0ms	(cbrt e)
1.0ms	(cbrt e)
1.0ms	(cbrt e)

series1.2s

Counts

4 → 12

Calls

4 calls:

344.0ms	(* (cbrt e) (cbrt e))
301.0ms	(cbrt e)
254.0ms	(cbrt e)
253.0ms	(cbrt e)

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	65	554
1	143	443
2	719	423
done	5000	409

prune484.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes98.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	9	10
done	9	10

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.8s	1519×	body	1280	valid
1.2s	1281×	body	640	valid
569.0ms	4286×	body	80	valid
288.0ms	592×	body	320	valid
215.0ms	8000×	pre	80	true
110.0ms	322×	body	160	valid