Details

sample257.0ms

Algorithm

intervals

Results

100.0ms	52×	body	1280	valid
19.0ms	140×	body	80	valid
18.0ms	30×	body	640	valid
11.0ms	23×	body	320	valid
7.0ms	256×	pre	80	true
4.0ms	11×	body	160	valid

simplify43.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (17.0ms)

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

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:

27.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
23.0ms	(* e (sin v))

series233.0ms

Counts

2 → 6

Calls

2 calls:

174.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
59.0ms	(* e (sin v))

simplify835.0ms

Counts

49 → 49

Iterations

Useful iterations: done (832.0ms)

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

prune239.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite26.0ms

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:

6.0ms	(/ (fma (cos v) e 1.0) (sin v))
15.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

series242.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(/ (fma (cos v) e 1.0) (sin v))
140.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify1.4s

Counts

107 → 107

Iterations

Useful iterations: done (1.4s)

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

prune495.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize25.0ms

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) (sin v))
0.3b	(* (sqrt e) (* (sqrt e) (sin v)))

rewrite87.0ms

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:

36.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (fma (cos v) e 1.0))
18.0ms	(* (sqrt e) (sin v))
31.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

series308.0ms

Counts

3 → 9

Calls

3 calls:

158.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (fma (cos v) e 1.0))
77.0ms	(* (sqrt e) (sin v))
73.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

simplify1.5s

Counts

81 → 81

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	165	1191
1	457	1128
2	2469	840
done	5001	803

prune338.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt e))
0.2b	(* (sqrt e) (sin v))
0.3b	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (* (sqrt e) (sin v))))
0.3b	(* (sqrt (sqrt e)) (* (sqrt e) (sin v)))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-prod`
24×	`associate-l`
22×	`pow1`
21×	`add-sqr-sqrt`
20×	`add-exp-log` `add-cbrt-cube`
15×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-r`
4×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`rem-sqrt-square` `pow1/2` `unswap-sqr`

Counts

4 → 100

Calls

4 calls:

3.0ms	(sqrt (sqrt e))
21.0ms	(* (sqrt e) (sin v))
116.0ms	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (* (sqrt e) (sin v))))
66.0ms	(* (sqrt (sqrt e)) (* (sqrt e) (sin v)))

series656.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(sqrt (sqrt e))
116.0ms	(* (sqrt e) (sin v))
78.0ms	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (* (sqrt e) (sin v))))
192.0ms	(* (sqrt (sqrt e)) (* (sqrt e) (sin v)))

simplify1.2s

Counts

112 → 112

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	161	1315
1	418	1101
2	1786	862
done	5000	827

prune461.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes77.0ms

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

sample4.4s

Algorithm

intervals

Results

1.8s	1521×	body	1280	valid
998.0ms	4334×	body	80	valid
706.0ms	1241×	body	640	valid
293.0ms	612×	body	320	valid
221.0ms	8000×	pre	80	true
66.0ms	292×	body	160	valid