Details

sample185.0ms

Algorithm

intervals

Results

36.0ms	51×	body	1280	valid
16.0ms	42×	body	640	valid
14.0ms	137×	body	80	valid
5.0ms	256×	pre	80	true
4.0ms	13×	body	320	valid
3.0ms	13×	body	160	valid

simplify440.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	9	283
1	14	283
2	18	283
3	21	283
4	22	283
done	22	283

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

12.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
8.0ms	(* e (cos v))
18.0ms	(* e (sin v))

series237.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
53.0ms	(* e (cos v))
60.0ms	(* e (sin v))

simplify1.4s

Counts

68 → 68

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	117	18209
1	304	15948
2	1506	15788
done	5001	15548

prune349.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

16.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
7.0ms	(* e (cos v))
21.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

series309.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
66.0ms	(* e (cos v))
148.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

simplify1.6s

Counts

90 → 90

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	155	33209
1	406	28788
2	1880	28386
done	5000	28106

prune573.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* e (cos v))
0.1b	(* e (* (/ (sin v) (- (* 1.0 1.0) (* (* e (cos v)) (* e (cos v))))) (- 1.0 (* e (cos v)))))
0.2b	(* (* e (cos v)) (* e (cos v)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1`
29×	`add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down`
15×	`prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt`
10×	`associate-l`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
7×	`associate-*r/`
4×	`sub-neg` `pow-sqr` `*-commutative` `pow-prod-up` `add-log-exp`
2×	`frac-times` `pow-plus` `flip3--` `flip--` `unswap-sqr`
1×	`pow2` `cbrt-undiv` `swap-sqr` `div-exp` `associate-*l/`

Counts

4 → 103

Calls

4 calls:

6.0ms	(* e (cos v))
11.0ms	(* e (cos v))
70.0ms	(* e (* (/ (sin v) (- (* 1.0 1.0) (* (* e (cos v)) (* e (cos v))))) (- 1.0 (* e (cos v)))))
33.0ms	(* (* e (cos v)) (* e (cos v)))

series351.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* e (cos v))
39.0ms	(* e (cos v))
163.0ms	(* e (* (/ (sin v) (- (* 1.0 1.0) (* (* e (cos v)) (* e (cos v))))) (- 1.0 (* e (cos v)))))
90.0ms	(* (* e (cos v)) (* e (cos v)))

simplify2.4s

Counts

115 → 115

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	148	36206
1	444	30979
2	2611	29859
done	5001	28097

prune558.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
57×	`add-sqr-sqrt`
55×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
12×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `associate-l` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 117

Calls

3 calls:

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

series286.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
64.0ms	(* e (cos v))
122.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify2.1s

Counts

126 → 126

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	221	57104
1	573	53890
2	2887	52834
done	5002	52754

prune742.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes176.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	443
1	16	443
done	16	443

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.0s	1491×	body	1280	valid
762.0ms	1336×	body	640	valid
441.0ms	4252×	body	80	valid
315.0ms	8000×	pre	80	true
209.0ms	607×	body	320	valid
130.0ms	314×	body	160	valid