Details

sample290.0ms

Algorithm

intervals

Results

126.0ms	156×	body	1280	valid
65.0ms	125×	body	640	valid
52.0ms	177×	body	80	valid
22.0ms	61×	body	320	valid
7.0ms	29×	body	160	valid

simplify234.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

233.0ms

(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 43.5b

localize23.0ms

Local error

Found 2 expressions with local error:

5.0b	(- (exp (- im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
5×	`associate-r`
4×	`add-log-exp`
3×	`sub-neg` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-*r/` `insert-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 42

Calls

2 calls:

Slowest

88.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
15.0ms	(- (exp (- im)) (exp im))

series149.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

97.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
52.0ms	(- (exp (- im)) (exp im))

simplify7.1s

Counts

54 → 48

Calls

54 calls:

Slowest

559.0ms	(* (* (- (exp (- im)) (exp im)) (- (exp (- im)) (exp im))) (- (exp (- im)) (exp im)))
496.0ms	(* (sin re) (- (exp (- im)) (exp im)))
345.0ms	(* (* 0.5 (sin re)) (- (pow (exp (- im)) 3) (pow (exp im) 3)))
312.0ms	(- (pow (exp (- im)) 3) (pow (exp im) 3))
297.0ms	(exp (* (* 0.5 (sin re)) (- (exp (- im)) (exp im))))

prune538.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 1/3 im)
0.1b	(* (* 1/3 im) im)
0.1b	(* (* 0.5 (sin re)) (- (* -1/60 (pow im 5)) (* (+ (* (* 1/3 im) im) 2) im)))
0.1b	(* -1/60 (pow im 5))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
18×	`add-sqr-sqrt` `add-cbrt-cube`
16×	`pow1` `associate-r`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`prod-exp`
8×	`associate-l` `cbrt-unprod`
7×	`pow-prod-down`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `sqr-pow`
1×	`pow-to-exp` `flip3--` `pow-exp` `flip--`

Counts

4 → 89

Calls

4 calls:

Slowest

65.0ms	(* (* 0.5 (sin re)) (- (* -1/60 (pow im 5)) (* (+ (* (* 1/3 im) im) 2) im)))
32.0ms	(* (* 1/3 im) im)
11.0ms	(* 1/3 im)
8.0ms	(* -1/60 (pow im 5))

series376.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

250.0ms	(* (* 0.5 (sin re)) (- (* -1/60 (pow im 5)) (* (+ (* (* 1/3 im) im) 2) im)))
60.0ms	(* -1/60 (pow im 5))
48.0ms	(* (* 1/3 im) im)
19.0ms	(* 1/3 im)

simplify15.0s

Counts

105 → 101

Calls

105 calls:

Slowest

721.0ms	(* (* (* (* 1/3 im) (* 1/3 im)) (* 1/3 im)) (* (* im im) im))
654.0ms	(* (* -1/60 (pow im 5)) (* 0.5 (sin re)))
611.0ms	(* (* 0.5 (sin re)) (* -1/60 (pow im 5)))
584.0ms	(* -1/60 (pow (* (cbrt im) (cbrt im)) 5))
548.0ms	(* (* -1/60 (pow im 5)) (* 0.5 (sin re)))

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sin re) (+ (* 0.008333333333333333 (pow im 5)) (* 1.0 im)))
0.1b	(* 0.16666666666666666 (sin re))
0.1b	(* (- im) (* im im))
0.1b	(* (* (- im) (* im im)) (* 0.16666666666666666 (sin re)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-cbrt-cube` `add-exp-log`
20×	`pow-prod-down` `prod-exp` `cbrt-unprod`
17×	`associate-l`
16×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `unswap-sqr`
2×	`associate-*r/`
1×	`distribute-rgt-in` `neg-mul-1` `distribute-lft-in` `flip3-+` `flip-+`

Counts

4 → 100

Calls

4 calls:

Slowest

48.0ms	(* (* (- im) (* im im)) (* 0.16666666666666666 (sin re)))
34.0ms	(* (sin re) (+ (* 0.008333333333333333 (pow im 5)) (* 1.0 im)))
19.0ms	(* (- im) (* im im))
7.0ms	(* 0.16666666666666666 (sin re))

series556.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

386.0ms	(* (sin re) (+ (* 0.008333333333333333 (pow im 5)) (* 1.0 im)))
77.0ms	(* (* (- im) (* im im)) (* 0.16666666666666666 (sin re)))
60.0ms	(* (- im) (* im im))
32.0ms	(* 0.16666666666666666 (sin re))

simplify21.5s

Counts

113 → 112

Calls

113 calls:

Slowest

638.0ms	(* (sqrt (sin re)) (sqrt (+ (* 0.008333333333333333 (pow im 5)) (* 1.0 im))))
628.0ms	(* (* (* 0.16666666666666666 (sin re)) (* 0.16666666666666666 (sin re))) (* 0.16666666666666666 (sin re)))
608.0ms	(* (sqrt (sin re)) (sqrt (+ (* 0.008333333333333333 (pow im 5)) (* 1.0 im))))
560.0ms	(+ (log (sin re)) (log (+ (* 0.008333333333333333 (pow im 5)) (* 1.0 im))))
543.0ms	(* (sin re) (* (cbrt (+ (* 0.008333333333333333 (pow im 5)) (* 1.0 im))) (cbrt (+ (* 0.008333333333333333 (pow im 5)) (* 1.0 im)))))

prune1.6s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (sin re))
0.7b	(cbrt (sin re))
0.7b	(cbrt (sin re))
0.5b	(* (cbrt (sin re)) (cbrt (sin re)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `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 → 77

Calls

4 calls:

Slowest

22.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
3.0ms	(cbrt (sin re))
2.0ms	(cbrt (sin re))
2.0ms	(cbrt (sin re))

series558.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

168.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
137.0ms	(cbrt (sin re))
132.0ms	(cbrt (sin re))
120.0ms	(cbrt (sin re))

simplify2.3s

Counts

103 → 89

Calls

103 calls:

Slowest

291.0ms	(- (pow re 1/3) (+ (* 1/3240 (pow (pow re 13) 1/3)) (* 1/18 (pow (pow re 7) 1/3))))
285.0ms	(- (pow re 1/3) (+ (* 1/3240 (pow (pow re 13) 1/3)) (* 1/18 (pow (pow re 7) 1/3))))
269.0ms	(- (pow re 1/3) (+ (* 1/3240 (pow (pow re 13) 1/3)) (* 1/18 (pow (pow re 7) 1/3))))
261.0ms	(- (+ (* 1/405 (pow (pow re 14) 1/3)) (pow re 2/3)) (* 1/9 (pow (pow re 8) 1/3)))
192.0ms	(* (* (* (cbrt (sin re)) (cbrt (sin re))) (* (cbrt (sin re)) (cbrt (sin re)))) (* (cbrt (sin re)) (cbrt (sin re))))

prune1.4s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes571.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch12.0ms

end0.0ms

sample12.5s

Algorithm

intervals

Results

6.7s	4667×	body	1280	valid
2.9s	3686×	body	640	valid
1.6s	1886×	body	320	valid
670.0ms	4297×	body	80	valid
286.0ms	975×	body	160	valid