Details

sample214.0ms

Algorithm

intervals

Results

71.0ms	37×	body	640	valid
37.0ms	50×	body	1280	valid
13.0ms	124×	body	80	valid
10.0ms	28×	body	320	valid
6.0ms	256×	pre	80	true
4.0ms	17×	body	160	valid

simplify40.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (16.0ms)

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

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

3 → 65

Calls

3 calls:

56.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
19.0ms	(* e (sin v))
14.0ms	(* e (cos v))

series291.0ms

Counts

3 → 9

Calls

3 calls:

127.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
81.0ms	(* e (sin v))
82.0ms	(* e (cos v))

simplify2.8s

Counts

74 → 74

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	124	767
1	298	731
2	968	618
3	3641	614
done	5000	614

prune286.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

16.0ms	(/ (sin v) (fma (cos v) e 1.0))
16.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

series245.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(/ (sin v) (fma (cos v) e 1.0))
161.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

simplify2.2s

Counts

69 → 69

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	130	1053
1	301	1020
2	933	920
3	3068	913
done	5000	909

prune323.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1.0))
0.1b	(* e (expm1 (log1p (/ (sin v) (fma (cos v) e 1.0)))))
0.2b	(expm1 (log1p (/ (sin v) (fma (cos v) e 1.0))))
0.3b	(log1p (/ (sin v) (fma (cos v) e 1.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

10.0ms	(/ (sin v) (fma (cos v) e 1.0))
8.0ms	(* e (expm1 (log1p (/ (sin v) (fma (cos v) e 1.0)))))
0.0ms	(expm1 (log1p (/ (sin v) (fma (cos v) e 1.0))))
1.0ms	(log1p (/ (sin v) (fma (cos v) e 1.0)))

series562.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(/ (sin v) (fma (cos v) e 1.0))
207.0ms	(* e (expm1 (log1p (/ (sin v) (fma (cos v) e 1.0)))))
155.0ms	(expm1 (log1p (/ (sin v) (fma (cos v) e 1.0))))
119.0ms	(log1p (/ (sin v) (fma (cos v) e 1.0)))

simplify895.0ms

Counts

83 → 83

Iterations

Useful iterations: done (891.0ms)

Iter	Nodes	Cost
0	156	1442
1	341	1337
2	1091	1221
done	5000	1204

prune456.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (fma (cos v) e 1.0))
0.0b	(cbrt (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.2b	(/ (sin v) (/ (* (cbrt (fma (cos v) e 1.0)) (cbrt (fma (cos v) e 1.0))) e))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

33×	`times-frac`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
15×	`add-exp-log`
13×	`add-cbrt-cube`
7×	`associate-/r*`
6×	`pow1` `cbrt-prod`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l` `associate-/l*`
2×	`cbrt-div` `pow1/3` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `associate-/r/` `*-commutative` `flip-+` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

1.0ms	(cbrt (fma (cos v) e 1.0))
4.0ms	(cbrt (+ 1.0 (* e (cos v))))
10.0ms	(* e (cos v))
23.0ms	(/ (sin v) (/ (* (cbrt (fma (cos v) e 1.0)) (cbrt (fma (cos v) e 1.0))) e))

series764.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt (fma (cos v) e 1.0))
131.0ms	(cbrt (+ 1.0 (* e (cos v))))
46.0ms	(* e (cos v))
405.0ms	(/ (sin v) (/ (* (cbrt (fma (cos v) e 1.0)) (cbrt (fma (cos v) e 1.0))) e))

simplify1.5s

Counts

110 → 110

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	266	2269
1	636	2158
2	2022	1985
done	5000	1855

prune818.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes164.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	26
1	16	26
done	16	26

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.5s	1260×	body	640	valid
1.3s	1515×	body	1280	valid
708.0ms	8000×	pre	80	true
544.0ms	4245×	body	80	valid
297.0ms	661×	body	320	valid
131.0ms	319×	body	160	valid