Details

sample259.0ms

Algorithm

intervals

Results

154.0ms	166×	body	1280	valid
48.0ms	117×	body	640	valid
13.0ms	48×	body	320	valid
11.0ms	119×	body	80	valid
6.0ms	32×	body	160	valid

simplify1.1s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
4.6b	(- (exp (- im)) (exp im))

rewrite551.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

474.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
76.0ms	(- (exp (- im)) (exp im))

series197.0ms

Counts

2 → 6

Calls

2 calls:

138.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
59.0ms	(- (exp (- im)) (exp im))

simplify670.0ms

Counts: 46 → 46

prune223.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite256.0ms

Algorithm

rewrite-expression-head

Rules

29×	`associate-r`
26×	`add-sqr-sqrt`
19×	`add-exp-log`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-cbrt-cube`
9×	`pow1` `prod-exp` `add-log-exp`
8×	`unpow-prod-down`
7×	`associate-l` `unswap-sqr`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `sum-log` `*-commutative`
2×	`pow-to-exp` `distribute-neg-in` `flip3-+` `associate-*r/` `pow-exp` `flip-+` `distribute-neg-frac`
1×	`+-commutative` `distribute-rgt-in` `cube-mult` `neg-mul-1` `associate-+r+` `distribute-lft-in` `unpow3` `distribute-rgt-neg-out`

Counts

4 → 99

Calls

4 calls:

36.0ms	(+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
12.0ms	(* 1/60 (pow im 5))
186.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
18.0ms	(* 1/3 (pow im 3))

series458.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
63.0ms	(* 1/60 (pow im 5))
254.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
65.0ms	(* 1/3 (pow im 3))

simplify1.4s

Counts: 111 → 111

prune459.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sin re) (pow im 5))
0.1b	(* 0.16666666666666666 (* (sin re) (pow im 3)))
0.1b	(* (sin re) (pow im 3))
0.1b	(* (sin re) im)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`add-exp-log`
23×	`associate-r`
15×	`add-cbrt-cube`
14×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp`
12×	`associate-l`
8×	`pow1` `unpow-prod-down` `unswap-sqr`
6×	`cbrt-unprod`
4×	`cube-prod` `*-commutative` `add-log-exp` `sqr-pow`
3×	`pow-to-exp` `pow-exp`
2×	`pow-prod-down`
1×	`cube-mult` `unpow3`

Counts

4 → 93

Calls

4 calls:

25.0ms	(* (sin re) (pow im 5))
45.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
22.0ms	(* (sin re) (pow im 3))
20.0ms	(* (sin re) im)

series520.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (sin re) (pow im 5))
127.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
140.0ms	(* (sin re) (pow im 3))
52.0ms	(* (sin re) im)

simplify910.0ms

Counts: 105 → 105

prune620.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin re)) (cbrt (sin re)))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

23.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
1.0ms	(cbrt (sin re))
1.0ms	(cbrt (sin re))
2.0ms	(cbrt (sin re))

series687.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
175.0ms	(cbrt (sin re))
162.0ms	(cbrt (sin re))
171.0ms	(cbrt (sin re))

simplify985.0ms

Counts: 85 → 85

prune457.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

regimes521.0ms

Accuracy

0.3% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify3.3s

end0.0ms

sample9.5s

Algorithm

intervals

Results

4.8s	4796×	body	1280	valid
2.7s	3685×	body	640	valid
691.0ms	1891×	body	320	valid
453.0ms	4308×	body	80	valid
247.0ms	941×	body	160	valid