Details

sample238.0ms

Algorithm

intervals

Results

99.0ms	50×	body	1280	valid
18.0ms	42×	body	640	valid
13.0ms	137×	body	80	valid
8.0ms	20×	body	320	valid
6.0ms	256×	pre	80	true
1.0ms	7×	body	160	valid

simplify45.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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))

rewrite85.0ms

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:

27.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
20.0ms	(* e (sin v))
20.0ms	(* e (cos v))

series527.0ms

Counts

3 → 9

Calls

3 calls:

386.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
66.0ms	(* e (sin v))
75.0ms	(* e (cos v))

simplify778.0ms

Counts: 68 → 68

prune283.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos v)) (cbrt (cos v)))
0.3b	(cbrt (cos v))
0.3b	(cbrt (cos v))
0.3b	(cbrt (cos v))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

14.0ms	(* (cbrt (cos v)) (cbrt (cos v)))
1.0ms	(cbrt (cos v))
1.0ms	(cbrt (cos v))
1.0ms	(cbrt (cos v))

series636.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(* (cbrt (cos v)) (cbrt (cos v)))
136.0ms	(cbrt (cos v))
142.0ms	(cbrt (cos v))
136.0ms	(cbrt (cos v))

simplify945.0ms

Counts: 85 → 85

prune386.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite90.0ms

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:

18.0ms	(* e (cos v))
41.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
22.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series272.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* e (cos v))
112.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
115.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify980.0ms

Counts: 126 → 126

prune530.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize30.0ms

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))

rewrite166.0ms

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:

78.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
11.0ms	(* e (cos v))
46.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
27.0ms	(* (sqrt e) (sin v))

series410.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
52.0ms	(* e (cos v))
64.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
121.0ms	(* (sqrt e) (sin v))

simplify1.3s

Counts: 98 → 98

prune385.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.2s

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.7s	1571×	body	1280	valid
801.0ms	1255×	body	640	valid
690.0ms	8000×	pre	80	true
424.0ms	4249×	body	80	valid
323.0ms	612×	body	320	valid
77.0ms	313×	body	160	valid