Details

sample403.0ms

Algorithm

intervals

Results

220.0ms	192×	body	1280	valid
74.0ms	117×	body	640	valid
63.0ms	47×	body	320	valid
19.0ms	155×	body	80	valid
8.0ms	30×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
8	2068
7	1547
6	1088
5	490
4	209
3	106
2	46
1	22
0	11

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.4b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (- (exp (- 0 im)) (exp im)))
5.9b	(- (exp (- 0 im)) (exp im))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

216×	`prod-diff`
119×	`add-sqr-sqrt` `*-un-lft-identity`
115×	`add-cube-cbrt`
110×	`exp-sum`
44×	`distribute-rgt-in` `distribute-lft-in`
14×	`fma-neg`
13×	`sub-neg`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`associate-r`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 186

Calls

2 calls:

155.0ms	(* (* 0.5 (cos re)) (- (exp (- 0 im)) (exp im)))
50.0ms	(- (exp (- 0 im)) (exp im))

series176.0ms

Counts

2 → 6

Calls

2 calls:

112.0ms	(* (* 0.5 (cos re)) (- (exp (- 0 im)) (exp im)))
64.0ms	(- (exp (- 0 im)) (exp im))

simplify3.4s

Counts

192 → 192

Iterations

Iter	Nodes
3	5159
2	1690
1	752
0	286

prune556.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1`
19×	`add-exp-log`
16×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
11×	`associate-r`
9×	`*-un-lft-identity` `prod-exp` `add-cube-cbrt`
7×	`associate-l` `cbrt-unprod`
6×	`pow-prod-down`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `unpow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`*-commutative` `fma-udef`
2×	`sqr-pow`
1×	`pow2` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow-plus` `cube-unmult` `pow-exp` `pow-sqr`

Counts

4 → 89

Calls

4 calls:

0.0ms	(fma im -2 (* -1/60 (pow im 5)))
15.0ms	(* -1/60 (pow im 5))
26.0ms	(* im (* im im))
32.0ms	(* (* 0.5 (cos re)) (fma -1/3 (* im (* im im)) (fma im -2 (* -1/60 (pow im 5)))))

series544.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(fma im -2 (* -1/60 (pow im 5)))
68.0ms	(* -1/60 (pow im 5))
36.0ms	(* im (* im im))
263.0ms	(* (* 0.5 (cos re)) (fma -1/3 (* im (* im im)) (fma im -2 (* -1/60 (pow im 5)))))

simplify2.2s

Counts

101 → 101

Iterations

Iter	Nodes
3	4531
2	1111
1	375
0	169

prune899.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* im im) im)
0.1b	(* im (* im im))
0.1b	(* (fma -1/60 (* (* im im) (* (* im im) im)) (* -2 im)) (cos re))
0.1b	(* -1/3 (* im (* im im)))

rewrite475.0ms

Algorithm

rewrite-expression-head

Rules

48×	`pow1`
25×	`add-cbrt-cube` `add-exp-log`
13×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`pow-prod-up`
10×	`associate-l`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
7×	`pow-plus`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `pow-sqr` `unswap-sqr`
1×	`cube-unmult` `pow3`

Counts

4 → 103

Calls

4 calls:

30.0ms	(* (* im im) im)
29.0ms	(* im (* im im))
343.0ms	(* (fma -1/60 (* (* im im) (* (* im im) im)) (* -2 im)) (cos re))
71.0ms	(* -1/3 (* im (* im im)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (* im im) im)
45.0ms	(* im (* im im))
83.0ms	(* (fma -1/60 (* (* im im) (* (* im im) im)) (* -2 im)) (cos re))
51.0ms	(* -1/3 (* im (* im im)))

simplify855.0ms

Counts

115 → 115

Iterations

Iter	Nodes
3	2387
2	736
1	286
0	126

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos re)) (cbrt (cos re)))
0.3b	(cbrt (cos re))
0.3b	(cbrt (cos re))
0.3b	(cbrt (cos 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×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `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 → 85

Calls

4 calls:

11.0ms	(* (cbrt (cos re)) (cbrt (cos re)))
1.0ms	(cbrt (cos re))
1.0ms	(cbrt (cos re))
1.0ms	(cbrt (cos re))

series700.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(* (cbrt (cos re)) (cbrt (cos re)))
136.0ms	(cbrt (cos re))
164.0ms	(cbrt (cos re))
150.0ms	(cbrt (cos re))

simplify2.0s

Counts

97 → 97

Iterations

Iter	Nodes
4	4064
3	1011
2	341
1	146
0	70

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes397.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	27
1	27
0	19

end0.0ms

sample11.8s

Algorithm

intervals

Results

7.0s	5748×	body	1280	valid
2.9s	3652×	body	640	valid
637.0ms	4469×	body	80	valid
622.0ms	1414×	body	320	valid
176.0ms	652×	body	160	valid