Details

sample357.0ms

Algorithm

intervals

Results

56.0ms	52×	body	1280	valid
21.0ms	145×	body	80	valid
19.0ms	29×	body	640	valid
13.0ms	22×	body	320	valid
8.0ms	256×	pre	80	true
2.0ms	8×	body	160	valid

simplify82.0ms

Counts: 1 → 1

prune206.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

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))

rewrite119.0ms

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:

73.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
19.0ms	(* e (cos v))
20.0ms	(* e (sin v))

series543.0ms

Counts

3 → 9

Calls

3 calls:

210.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
102.0ms	(* e (cos v))
231.0ms	(* e (sin v))

simplify617.0ms

Counts: 68 → 68

prune224.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* e (sin v))
0.1b	(* (* e (cos v)) (* e (cos v)))
0.1b	(pow (* e (cos v)) 3)

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
23×	`add-exp-log` `add-cbrt-cube`
20×	`pow-prod-down`
13×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r` `associate-l`
4×	`pow-sqr` `pow-prod-up` `add-log-exp`
3×	`pow-unpow` `*-commutative`
2×	`pow-pow` `pow-plus` `pow-exp` `rem-cube-cbrt` `unswap-sqr`
1×	`pow2` `cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `swap-sqr` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

12.0ms	(* e (cos v))
13.0ms	(* e (sin v))
57.0ms	(* (* e (cos v)) (* e (cos v)))
7.0ms	(pow (* e (cos v)) 3)

series256.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* e (cos v))
48.0ms	(* e (sin v))
75.0ms	(* (* e (cos v)) (* e (cos v)))
95.0ms	(pow (* e (cos v)) 3)

simplify756.0ms

Counts: 104 → 104

prune470.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (sin v))
0.1b	(* (* e (cos v)) (* e (cos v)))
0.1b	(pow (* e (cos v)) 3)
6.1b	(log (exp (* e (cos v))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
21×	`add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down`
10×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`associate-r` `associate-l` `pow-sqr` `pow-prod-up`
3×	`pow-unpow` `log-prod` `log-pow`
2×	`pow-pow` `pow-plus` `pow-exp` `*-commutative` `rem-cube-cbrt`
1×	`pow2` `cube-mult` `pow-to-exp` `unpow-prod-down` `exp-prod` `exp-to-pow` `unpow3` `cube-prod` `swap-sqr` `rem-log-exp` `unswap-sqr` `sqr-pow`

Counts

4 → 88

Calls

4 calls:

9.0ms	(* e (sin v))
55.0ms	(* (* e (cos v)) (* e (cos v)))
7.0ms	(pow (* e (cos v)) 3)
4.0ms	(log (exp (* e (cos v))))

series255.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* e (sin v))
75.0ms	(* (* e (cos v)) (* e (cos v)))
68.0ms	(pow (* e (cos v)) 3)
60.0ms	(log (exp (* e (cos v))))

simplify721.0ms

Counts: 100 → 100

prune483.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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)))

rewrite57.0ms

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:

13.0ms	(* e (cos v))
25.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
14.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series259.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* e (cos v))
90.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
122.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify879.0ms

Counts: 126 → 126

prune460.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes96.0ms

Accuracy

-112.2% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.3s

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.6s	1553×	body	1280	valid
729.0ms	8000×	pre	80	true
663.0ms	1228×	body	640	valid
511.0ms	4273×	body	80	valid
308.0ms	622×	body	320	valid
131.0ms	324×	body	160	valid