Details

sample179.0ms

Algorithm

intervals

Results

36.0ms	45×	body	1280	valid
25.0ms	51×	body	640	valid
13.0ms	126×	body	80	valid
11.0ms	26×	body	320	valid
6.0ms	256×	pre	80	true
2.0ms	8×	body	160	valid

simplify109.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

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×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `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 → 59

Calls

3 calls:

17.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
10.0ms	(* e (sin v))
22.0ms	(* e (cos v))

series275.0ms

Counts

3 → 9

Calls

3 calls:

146.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
56.0ms	(* e (sin v))
73.0ms	(* e (cos v))

simplify686.0ms

Counts: 68 → 68

prune243.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* e (cos v))
0.2b	(* e (cos v))
0.2b	(* e (cos v))
0.2b	(* e (cos v))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
12×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

18.0ms	(* e (cos v))
18.0ms	(* e (cos v))
18.0ms	(* e (cos v))
18.0ms	(* e (cos v))

series245.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* e (cos v))
65.0ms	(* e (cos v))
40.0ms	(* e (cos v))
74.0ms	(* e (cos v))

simplify2.3s

Counts: 84 → 84

prune422.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 117

Calls

3 calls:

40.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
9.0ms	(* e (cos v))
18.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series283.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
62.0ms	(* e (cos v))
119.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify1.1s

Counts: 126 → 126

prune492.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

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×	`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 → 86

Calls

4 calls:

38.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
10.0ms	(* e (cos v))
19.0ms	(* (sqrt e) (sin v))
32.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

series373.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
46.0ms	(* e (cos v))
90.0ms	(* (sqrt e) (sin v))
74.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

simplify1.3s

Counts: 98 → 98

prune364.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes100.0ms

Accuracy

-0.2% (0.1b remaining)

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

bsearch0.0ms

simplify1.3s

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.8s	1488×	body	1280	valid
703.0ms	1232×	body	640	valid
633.0ms	4306×	body	80	valid
617.0ms	8000×	pre	80	true
260.0ms	643×	body	320	valid
72.0ms	331×	body	160	valid