Details

sample313.0ms

Algorithm

intervals

Results

21.0ms	47×	body	1280	valid
12.0ms	47×	body	640	valid
7.0ms	133×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	17×	body	320	valid
1.0ms	12×	body	160	valid

simplify20.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

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

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:

4.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
6.0ms	(* e (sin v))

series144.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
47.0ms	(* e (sin v))

simplify1.8s

Counts

49 → 49

Iterations

Useful iterations: 3 (577.0ms)

Iter	Nodes	Cost
0	93	565
1	218	549
2	737	469
3	3420	465
done	5000	465

prune136.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite12.0ms

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:

2.0ms	(/ (fma (cos v) e 1.0) (sin v))
5.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

series160.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ (fma (cos v) e 1.0) (sin v))
91.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify1.3s

Counts

107 → 107

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	197	1980
1	440	1894
2	1353	1785
done	5000	1781

prune344.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

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:

12.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (fma (cos v) e 1.0))
12.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
6.0ms	(* (sqrt e) (sin v))

series229.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (fma (cos v) e 1.0))
47.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
79.0ms	(* (sqrt e) (sin v))

simplify777.0ms

Counts

81 → 81

Iterations

Useful iterations: done (775.0ms)

Iter	Nodes	Cost
0	165	1191
1	445	952
2	1795	804
done	5001	798

prune227.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

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:

12.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (fma (cos v) e 1.0))
12.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
6.0ms	(* (sqrt e) (sin v))

series221.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (fma (cos v) e 1.0))
43.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
78.0ms	(* (sqrt e) (sin v))

simplify758.0ms

Counts

81 → 81

Iterations

Useful iterations: done (756.0ms)

Iter	Nodes	Cost
0	165	1191
1	445	952
2	1795	804
done	5001	798

prune236.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes72.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.7s

Algorithm

intervals

Results

644.0ms	1530×	body	1280	valid
335.0ms	1221×	body	640	valid
234.0ms	4287×	body	80	valid
120.0ms	643×	body	320	valid
114.0ms	8000×	pre	80	true
39.0ms	319×	body	160	valid