Details

sample378.0ms

Algorithm

intervals

Results

174.0ms	163×	body	1280	valid
131.0ms	126×	body	640	valid
26.0ms	57×	body	320	valid
19.0ms	131×	body	80	valid
9.0ms	29×	body	160	valid

simplify3.7s

Counts: 1 → 1

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 43.6b

localize37.0ms

Local error

Found 2 expressions with local error:

5.3b	(- (exp (- im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))

rewrite128.0ms

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

95.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
31.0ms	(- (exp (- im)) (exp im))

series169.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

119.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
50.0ms	(- (exp (- im)) (exp im))

simplify1.1s

Counts: 48 → 48

prune585.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* im im) 1/3)
0.1b	(* (* 0.5 (sin re)) (+ (* (pow im 5) -1/60) (- (* im (+ (* (* im im) 1/3) 2)))))
0.1b	(* (pow im 5) -1/60)
0.0b	(* im (+ (* (* im im) 1/3) 2))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

Slowest

51.0ms	(* im (+ (* (* im im) 1/3) 2))
36.0ms	(* (* 0.5 (sin re)) (+ (* (pow im 5) -1/60) (- (* im (+ (* (* im im) 1/3) 2)))))
14.0ms	(* (* im im) 1/3)
8.0ms	(* (pow im 5) -1/60)

series530.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

254.0ms	(* (* 0.5 (sin re)) (+ (* (pow im 5) -1/60) (- (* im (+ (* (* im im) 1/3) 2)))))
139.0ms	(* im (+ (* (* im im) 1/3) 2))
87.0ms	(* (pow im 5) -1/60)
50.0ms	(* (* im im) 1/3)

simplify900.0ms

Counts: 104 → 104

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sin re) im)
0.1b	(* im (* 1.0 (sin re)))
0.1b	(* (* (sin re) im) (* im im))
0.1b	(* (* (* (sin re) im) (* im im)) (- 0.16666666666666666))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

41×	`pow1` `add-cbrt-cube` `add-exp-log`
25×	`pow-prod-down` `prod-exp` `cbrt-unprod`
15×	`associate-r`
12×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-l`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
1×	`neg-mul-1` `distribute-rgt-neg-out` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

Slowest

103.0ms	(* (* (* (sin re) im) (* im im)) (- 0.16666666666666666))
28.0ms	(* (* (sin re) im) (* im im))
26.0ms	(* im (* 1.0 (sin re)))
10.0ms	(* (sin re) im)

series396.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

174.0ms	(* (* (* (sin re) im) (* im im)) (- 0.16666666666666666))
111.0ms	(* (* (sin re) im) (* im im))
62.0ms	(* im (* 1.0 (sin re)))
49.0ms	(* (sin re) im)

simplify551.0ms

Counts: 109 → 109

prune1.6s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt im)
0.6b	(cbrt im)
0.6b	(cbrt im)
0.5b	(* (cbrt im) (cbrt im))

rewrite10.0ms

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

7.0ms	(* (cbrt im) (cbrt im))
1.0ms	(cbrt im)
1.0ms	(cbrt im)
1.0ms	(cbrt im)

series1.5s

Counts

4 → 12

Calls

4 calls:

Slowest

627.0ms	(* (cbrt im) (cbrt im))
290.0ms	(cbrt im)
274.0ms	(cbrt im)
263.0ms	(cbrt im)

simplify1.4s

Counts: 89 → 89

prune1.3s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes709.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch10.0ms

end0.0ms

sample11.8s

Algorithm

intervals

Results

6.3s	4785×	body	1280	valid
3.1s	3748×	body	640	valid
1.1s	1878×	body	320	valid
668.0ms	4411×	body	80	valid
272.0ms	929×	body	160	valid