Details

sample115.0ms

Algorithm

intervals

Results

49.0ms	58×	body	1280	valid
26.0ms	231×	body	80	valid
20.0ms	35×	body	640	valid
5.0ms	12×	body	320	valid
2.0ms	7×	body	160	valid

simplify8.0ms

Calls

1 calls:

Slowest

7.0ms

(* (exp re) (cos im))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (exp re) (cos im))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`add-exp-log`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-cube-cbrt`
2×	`prod-exp`
1×	`pow-prod-down` `*-commutative` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`

Calls

1 calls:

Slowest

47.0ms

(* (exp re) (cos im))

series40.0ms

Calls

1 calls:

Slowest

40.0ms

(* (exp re) (cos im))

simplify790.0ms

Calls

14 calls:

Slowest

671.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
51.0ms	(+ re (+ (* 1/2 (pow re 2)) 1))
11.0ms	(* (sqrt (exp re)) (sqrt (cos im)))
11.0ms	(* (sqrt (exp re)) (sqrt (cos im)))
9.0ms	(+ (log (exp re)) (log (cos im)))

prune205.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos im))
0.3b	(cbrt (cos im))
0.3b	(cbrt (cos im))
0.2b	(* (cbrt (cos im)) (cbrt (cos im)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Calls

4 calls:

Slowest

18.0ms	(* (cbrt (cos im)) (cbrt (cos im)))
1.0ms	(cbrt (cos im))
1.0ms	(cbrt (cos im))
1.0ms	(cbrt (cos im))

series589.0ms

Calls

4 calls:

Slowest

202.0ms	(* (cbrt (cos im)) (cbrt (cos im)))
144.0ms	(cbrt (cos im))
128.0ms	(cbrt (cos im))
114.0ms	(cbrt (cos im))

simplify1.7s

Calls

68 calls:

Slowest

366.0ms	(- 1 (+ (* 1/3 (pow im 2)) (* 1/405 (pow im 6))))
188.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
185.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
167.0ms	(* (cos im) (* (* (cbrt (cos im)) (cbrt (cos im))) (cbrt (cos im))))
144.0ms	(* (* (* (cbrt (cos im)) (cbrt (cos im))) (cbrt (cos im))) (* (* (cbrt (cos im)) (cbrt (cos im))) (cbrt (cos im))))

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (* (cbrt (cos im)) (cbrt (cos im))))
0.3b	(cbrt (* (cbrt (cos im)) (cbrt (cos im))))
0.3b	(cbrt (cos im))
0.3b	(cbrt (cos im))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

92×	`cbrt-prod`
40×	`add-sqr-sqrt`
24×	`*-un-lft-identity` `add-cube-cbrt`
12×	`swap-sqr` `associate-r` `associate-l`
8×	`unswap-sqr`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`*-commutative`

Calls

4 calls:

Slowest

11.0ms	(cbrt (* (cbrt (cos im)) (cbrt (cos im))))
8.0ms	(cbrt (* (cbrt (cos im)) (cbrt (cos im))))
2.0ms	(cbrt (cos im))
2.0ms	(cbrt (cos im))

series567.0ms

Calls

4 calls:

Slowest

160.0ms	(cbrt (* (cbrt (cos im)) (cbrt (cos im))))
138.0ms	(cbrt (cos im))
137.0ms	(cbrt (* (cbrt (cos im)) (cbrt (cos im))))
131.0ms	(cbrt (cos im))

simplify1.4s

Calls

72 calls:

Slowest

158.0ms	(- 1 (+ (* 1/9 (pow im 2)) (* 1/81 (pow im 4))))
155.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
152.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
135.0ms	(- 1 (+ (* 1/9 (pow im 2)) (* 1/81 (pow im 4))))
107.0ms	(cbrt (* (* (cbrt (cbrt (cos im))) (cbrt (cbrt (cos im)))) (* (cbrt (cbrt (cos im))) (cbrt (cbrt (cos im))))))

prune1.5s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

3.3b	(log (cos im))
0.0b	(exp (+ (log (cos im)) re))
0.0b	(+ (log (cos im)) re)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
10×	`add-log-exp`
9×	`log-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`pow1` `associate-+l+`
5×	`exp-prod` `exp-sum`
4×	`sum-log` `add-exp-log` `distribute-lft-out`
3×	`add-cbrt-cube` `log-pow` `insert-posit16` `rem-exp-log`
2×	`+-commutative`
1×	`flip3-+` `rem-log-exp` `flip-+`

Calls

3 calls:

Slowest

29.0ms	(exp (+ (log (cos im)) re))
13.0ms	(+ (log (cos im)) re)
4.0ms	(log (cos im))

series255.0ms

Calls

3 calls:

Slowest

135.0ms	(log (cos im))
76.0ms	(+ (log (cos im)) re)
45.0ms	(exp (+ (log (cos im)) re))

simplify883.0ms

Calls

33 calls:

Slowest

437.0ms	(- (+ (* 1/2 (pow im 2)) (+ (* 1/12 (pow im 4)) (* 1/45 (pow im 6)))))
138.0ms	(exp (* (cbrt (+ (log (cos im)) re)) (cbrt (+ (log (cos im)) re))))
73.0ms	(- (+ re 1) (* 1/2 (pow im 2)))
68.0ms	(- re (* 1/2 (pow im 2)))
17.0ms	(exp (+ (log (cos im)) re))

prune601.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes226.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.2s	1563×	body	1280	valid
1.0s	1230×	body	640	valid
623.0ms	6921×	body	80	valid
204.0ms	590×	body	320	valid
58.0ms	307×	body	160	valid