Details

sample392.0ms

Algorithm

intervals

Results

178.0ms	168×	body	1280	valid
135.0ms	131×	body	640	valid
26.0ms	46×	body	320	valid
21.0ms	154×	body	80	valid
9.0ms	32×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
8	2195
7	1711
6	1222
5	541
4	184
3	82
2	37
1	18
0	10

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 40.3b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
5.8b	(- (exp (- im)) (exp im))

rewrite84.0ms

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:

60.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
24.0ms	(- (exp (- im)) (exp im))

series159.0ms

Counts

2 → 6

Calls

2 calls:

106.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
53.0ms	(- (exp (- im)) (exp im))

simplify1.8s

Counts

48 → 48

Iterations

Iter	Nodes
3	3353
2	822
1	256
0	94

prune558.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite735.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
28×	`add-exp-log`
25×	`add-cbrt-cube`
16×	`add-sqr-sqrt`
15×	`prod-exp`
14×	`associate-l`
13×	`cbrt-unprod`
12×	`pow-prod-down`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
5×	`pow-prod-up`
4×	`distribute-rgt-in` `sub-neg` `unpow-prod-down` `distribute-lft-in` `associate--l+` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`associate-*r/` `sqr-pow`
1×	`pow2` `pow-to-exp` `pow-plus` `flip3--` `cube-unmult` `pow-exp` `pow-sqr` `flip--`

Counts

4 → 102

Calls

4 calls:

9.0ms	(* (pow im 5) 1/60)
15.0ms	(* im (* im im))
61.0ms	(* -1/3 (* im (* im im)))
647.0ms	(* (* 0.5 (sin re)) (- (- (* -1/3 (* im (* im im))) (+ im im)) (* (pow im 5) 1/60)))

series406.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (pow im 5) 1/60)
59.0ms	(* im (* im im))
57.0ms	(* -1/3 (* im (* im im)))
238.0ms	(* (* 0.5 (sin re)) (- (- (* -1/3 (* im (* im im))) (+ im im)) (* (pow im 5) 1/60)))

simplify3.8s

Counts

114 → 114

Iterations

Iter	Nodes
3	6839
2	1566
1	465
0	178

prune1.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* im im) im)
0.1b	(* (* im im) im)
0.1b	(* (* (* im im) im) (* im im))
0.2b	(* (sin re) (+ (* 1.0 im) (* 0.008333333333333333 (* (* (* im im) im) (* im im)))))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

166×	`pow1`
81×	`pow-prod-up`
45×	`pow-plus`
37×	`add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
21×	`pow2` `pow-sqr`
12×	`add-sqr-sqrt`
10×	`associate-r`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l` `pow3`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

4 → 146

Calls

4 calls:

15.0ms	(* (* im im) im)
15.0ms	(* (* im im) im)
78.0ms	(* (* (* im im) im) (* im im))
26.0ms	(* (sin re) (+ (* 1.0 im) (* 0.008333333333333333 (* (* (* im im) im) (* im im)))))

series554.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (* im im) im)
69.0ms	(* (* im im) im)
88.0ms	(* (* (* im im) im) (* im im))
334.0ms	(* (sin re) (+ (* 1.0 im) (* 0.008333333333333333 (* (* (* im im) im) (* im im)))))

simplify3.1s

Counts

158 → 158

Iterations

Iter	Nodes
3	5453
2	1150
1	346
0	124

prune2.0s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize72.0ms

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))

rewrite16.0ms

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:

12.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
1.0ms	(cbrt (sin re))
1.0ms	(cbrt (sin re))
1.0ms	(cbrt (sin re))

series552.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
147.0ms	(cbrt (sin re))
137.0ms	(cbrt (sin re))
125.0ms	(cbrt (sin re))

simplify1.9s

Counts

89 → 89

Iterations

Iter	Nodes
4	4067
3	1161
2	416
1	173
0	77

prune1.4s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes610.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify21.0ms

Iterations

Iter	Nodes
6	46
5	46
4	44
3	38
2	31
1	27
0	17

end0.0ms

sample12.4s

Algorithm

intervals

Results

6.3s	4743×	body	1280	valid
2.9s	3838×	body	640	valid
1.5s	1913×	body	320	valid
1.1s	4610×	body	80	valid
260.0ms	921×	body	160	valid