Details

sample397.0ms

Algorithm

intervals

Results

143.0ms	51×	body	1280	valid
96.0ms	40×	body	640	valid
29.0ms	134×	body	80	valid
19.0ms	256×	pre	80	true
15.0ms	17×	body	320	valid
8.0ms	14×	body	160	valid

simplify135.0ms

Counts: 1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

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` `insert-posit16` `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 → 62

Calls

3 calls:

Slowest

35.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
17.0ms	(* e (sin v))
16.0ms	(* e (cos v))

series274.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

110.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
89.0ms	(* e (sin v))
75.0ms	(* e (cos v))

simplify1.3s

Counts: 71 → 71

prune650.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

5.7b	(log (exp (* e (cos v))))
0.1b	(* e (sin v))
0.1b	(* e (cos v))
0.0b	(/ (* e (sin v)) (+ 1 (log (exp (* e (cos v))))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
13×	`add-cbrt-cube` `add-exp-log`
11×	`pow1` `add-cube-cbrt`
6×	`associate-r` `associate-l`
5×	`associate-/r*` `times-frac` `log-pow` `add-log-exp`
4×	`insert-posit16` `distribute-lft-out`
3×	`log-prod` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`exp-prod` `clear-num` `frac-2neg` `flip3-+` `exp-to-pow` `rem-log-exp` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 81

Calls

4 calls:

Slowest

24.0ms	(/ (* e (sin v)) (+ 1 (log (exp (* e (cos v))))))
8.0ms	(* e (sin v))
7.0ms	(* e (cos v))
4.0ms	(log (exp (* e (cos v))))

series297.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

124.0ms	(/ (* e (sin v)) (+ 1 (log (exp (* e (cos v))))))
72.0ms	(* e (sin v))
55.0ms	(* e (cos v))
46.0ms	(log (exp (* e (cos v))))

simplify1.2s

Counts: 93 → 93

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (sin v))
0.1b	(* e (cos v))
0.1b	(* e (cos v))
0.0b	(/ (* e (sin v)) (sqrt (+ 1 (* e (cos v)))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
15×	`add-cbrt-cube` `add-exp-log`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow1`
9×	`associate-r` `associate-l`
6×	`associate-/r*` `times-frac` `sqrt-prod`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow-prod-down` `*-commutative` `unswap-sqr`
2×	`cbrt-undiv` `sqrt-div` `div-exp` `associate-/r/`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 87

Calls

4 calls:

Slowest

28.0ms	(/ (* e (sin v)) (sqrt (+ 1 (* e (cos v)))))
15.0ms	(* e (cos v))
15.0ms	(* e (cos v))
9.0ms	(* e (sin v))

series270.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

133.0ms	(/ (* e (sin v)) (sqrt (+ 1 (* e (cos v)))))
50.0ms	(* e (cos v))
48.0ms	(* e (sin v))
40.0ms	(* e (cos v))

simplify1.4s

Counts: 99 → 99

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

5.7b	(log (exp (* e (cos v))))
0.2b	(/ e (/ (- 1 (* (* e (cos v)) (* e (cos v)))) (sin v)))
0.1b	(* (* e (cos v)) (* e (cos v)))
0.1b	(* e (cos v))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

117×	`times-frac`
77×	`add-sqr-sqrt`
75×	`*-un-lft-identity`
63×	`add-cube-cbrt`
46×	`pow1`
24×	`difference-of-squares`
23×	`add-cbrt-cube` `add-exp-log`
19×	`associate-/r*`
18×	`pow-prod-down`
9×	`prod-exp` `cbrt-unprod`
5×	`div-inv` `add-log-exp`
4×	`associate-r` `associate-l` `pow-sqr` `pow-prod-up` `insert-posit16`
3×	`cbrt-undiv` `log-prod` `div-exp` `log-pow` `associate-/l*`
2×	`pow-plus` `*-commutative`
1×	`pow2` `exp-prod` `clear-num` `frac-2neg` `exp-to-pow` `swap-sqr` `rem-log-exp` `associate-/r/` `unswap-sqr`

Counts

4 → 164

Calls

4 calls:

Slowest

35.0ms	(* (* e (cos v)) (* e (cos v)))
20.0ms	(/ e (/ (- 1 (* (* e (cos v)) (* e (cos v)))) (sin v)))
14.0ms	(log (exp (* e (cos v))))
8.0ms	(* e (cos v))

series370.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

167.0ms	(/ e (/ (- 1 (* (* e (cos v)) (* e (cos v)))) (sin v)))
78.0ms	(* (* e (cos v)) (* e (cos v)))
73.0ms	(log (exp (* e (cos v))))
52.0ms	(* e (cos v))

simplify1.3s

Counts: 176 → 176

prune2.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes172.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch5.0ms

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.0s	1477×	body	1280	valid
1.5s	1238×	body	640	valid
829.0ms	4334×	body	80	valid
466.0ms	641×	body	320	valid
359.0ms	8000×	pre	80	true
110.0ms	310×	body	160	valid