Details

sample277.0ms

Algorithm

intervals

Results

84.0ms	37×	body	640	valid
50.0ms	50×	body	1280	valid
17.0ms	124×	body	80	valid
14.0ms	28×	body	320	valid
8.0ms	256×	pre	80	true
5.0ms	17×	body	160	valid

simplify21.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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))

rewrite75.0ms

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:

47.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
11.0ms	(* e (sin v))
12.0ms	(* e (cos v))

series301.0ms

Counts

3 → 9

Calls

3 calls:

152.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
83.0ms	(* e (sin v))
66.0ms	(* e (cos v))

simplify2.8s

Counts

74 → 74

Iterations

Useful iterations: 3 (1.3s)

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

prune340.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (fma (cos v) e 1.0))
0.0b	(* (* e (sin v)) (/ 1 (fma (cos v) e 1.0)))
0.1b	(* e (sin v))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-cbrt-cube`
18×	`times-frac`
16×	`associate-r`
13×	`prod-exp`
11×	`pow1`
7×	`cbrt-unprod`
6×	`div-exp`
4×	`associate-l` `pow-prod-down`
3×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`*-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `inv-pow` `unswap-sqr`

Counts

3 → 93

Calls

3 calls:

19.0ms	(/ 1 (fma (cos v) e 1.0))
49.0ms	(* (* e (sin v)) (/ 1 (fma (cos v) e 1.0)))
11.0ms	(* e (sin v))

series270.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ 1 (fma (cos v) e 1.0))
153.0ms	(* (* e (sin v)) (/ 1 (fma (cos v) e 1.0)))
53.0ms	(* e (sin v))

simplify4.0s

Counts

102 → 102

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	155	1329
1	373	1157
2	1162	991
3	4385	985
done	5001	981

prune377.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

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))

rewrite75.0ms

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:

11.0ms	(cbrt (fma (cos v) e 1.0))
6.0ms	(cbrt (+ 1.0 (* e (cos v))))
19.0ms	(* e (cos v))
33.0ms	(/ (sin v) (/ (* (cbrt (fma (cos v) e 1.0)) (cbrt (fma (cos v) e 1.0))) e))

series724.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt (fma (cos v) e 1.0))
154.0ms	(cbrt (+ 1.0 (* e (cos v))))
72.0ms	(* e (cos v))
332.0ms	(/ (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 (1.4s)

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

prune737.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.2b	(* (sqrt e) (* (sqrt e) (sin v)))
0.3b	(* (sqrt e) (sin v))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

67.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
18.0ms	(* e (cos v))
69.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
25.0ms	(* (sqrt e) (sin v))

series398.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
45.0ms	(* e (cos v))
90.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
126.0ms	(* (sqrt e) (sin v))

simplify1.2s

Counts

106 → 106

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	199	1405
1	519	1136
2	2030	951
done	5000	944

prune365.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes124.0ms

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	10	12
1	14	12
done	14	12

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.4s	1515×	body	1280	valid
864.0ms	661×	body	320	valid
765.0ms	1260×	body	640	valid
604.0ms	319×	body	160	valid
602.0ms	4245×	body	80	valid
206.0ms	8000×	pre	80	true