Details

sample200.0ms

Algorithm

intervals

Results

47.0ms	256×	pre	80	true
32.0ms	50×	body	1280	valid
18.0ms	37×	body	640	valid
11.0ms	124×	body	80	valid
10.0ms	28×	body	320	valid
3.0ms	17×	body	160	valid

simplify33.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (18.0ms)

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

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:

26.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
24.0ms	(* e (sin v))

series189.0ms

Counts

2 → 6

Calls

2 calls:

131.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
57.0ms	(* e (sin v))

simplify2.2s

Counts

49 → 49

Iterations

Useful iterations: 3 (963.0ms)

Iter	Nodes	Cost
0	93	565
1	217	549
2	708	469
3	2925	465
done	5000	465

prune214.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* (sqrt e) (* (sqrt e) (sin v))) (fma (cos v) e 1.0))
0.2b	(* (sqrt e) (* (sqrt e) (sin v)))
0.3b	(* (sqrt e) (sin v))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

34.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (fma (cos v) e 1.0))
55.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
26.0ms	(* (sqrt e) (sin v))

series359.0ms

Counts

3 → 9

Calls

3 calls:

167.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (fma (cos v) e 1.0))
65.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
127.0ms	(* (sqrt e) (sin v))

simplify1.6s

Counts

81 → 81

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	165	1191
1	439	952
2	1727	804
done	5001	797

prune764.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt e) (cbrt e))
0.7b	(cbrt e)
0.7b	(cbrt e)
0.7b	(cbrt e)

rewrite35.0ms

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:

24.0ms	(* (cbrt e) (cbrt e))
2.0ms	(cbrt e)
2.0ms	(cbrt e)
2.0ms	(cbrt e)

series1.2s

Counts

4 → 12

Calls

4 calls:

336.0ms	(* (cbrt e) (cbrt e))
307.0ms	(cbrt e)
261.0ms	(cbrt e)
291.0ms	(cbrt e)

simplify5.5s

Counts

93 → 93

Iterations

Useful iterations: done (5.5s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune580.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(* e (sin v))
0.2b	(/ (fma (cos v) e 1.0) (* e (sin v)))
0.8b	(/ 1 (/ (fma (cos v) e 1.0) (* e (sin v))))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
31×	`add-exp-log`
25×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-cbrt-cube`
14×	`div-exp`
8×	`associate-/r*`
7×	`cbrt-undiv`
6×	`pow1` `div-inv` `associate-/l*`
5×	`prod-exp`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-r` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `pow-prod-down` `associate-/r/` `*-commutative` `inv-pow` `unswap-sqr`

Counts

3 → 101

Calls

3 calls:

11.0ms	(* e (sin v))
10.0ms	(/ (fma (cos v) e 1.0) (* e (sin v)))
33.0ms	(/ 1 (/ (fma (cos v) e 1.0) (* e (sin v))))

series351.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(* e (sin v))
140.0ms	(/ (fma (cos v) e 1.0) (* e (sin v)))
128.0ms	(/ 1 (/ (fma (cos v) e 1.0) (* e (sin v))))

simplify3.6s

Counts

110 → 110

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	176	1688
1	393	1552
2	1030	1323
3	4330	1301
done	5000	1301

prune360.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes140.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.5s	1515×	body	1280	valid
855.0ms	1260×	body	640	valid
699.0ms	8000×	pre	80	true
585.0ms	4245×	body	80	valid
227.0ms	661×	body	320	valid
84.0ms	319×	body	160	valid