Details

sample228.0ms

Algorithm

intervals

Results

108.0ms	136×	body	1280	valid
57.0ms	119×	body	640	valid
20.0ms	72×	body	320	valid
14.0ms	144×	body	80	valid
9.0ms	43×	body	160	valid

simplify5.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2748
6	1311
5	555
4	206
3	88
2	39
1	18
0	10

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.7b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
7.2b	(- (exp (- im)) (exp im))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

27×	`prod-diff`
26×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`associate-r`
4×	`add-log-exp`
3×	`sub-neg` `fma-neg` `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 → 76

Calls

2 calls:

97.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
29.0ms	(- (exp (- im)) (exp im))

series186.0ms

Counts

2 → 6

Calls

2 calls:

129.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
57.0ms	(- (exp (- im)) (exp im))

simplify2.6s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
3	4209
2	1099
1	409
0	146

prune330.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

13×	`associate-r`
11×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`fma-udef`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`distribute-rgt-in` `distribute-neg-in` `distribute-lft-in` `*-commutative`
1×	`neg-mul-1` `distribute-rgt-neg-out` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

0.0ms	(fma 1/3 (* im im) 2)
0.0ms	(fma (pow im 5) 1/60 (* im (fma 1/3 (* im im) 2)))
9.0ms	(* im (fma 1/3 (* im im) 2))
28.0ms	(* (* 0.5 (sin re)) (- (fma (pow im 5) 1/60 (* im (fma 1/3 (* im im) 2)))))

series515.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(fma 1/3 (* im im) 2)
77.0ms	(fma (pow im 5) 1/60 (* im (fma 1/3 (* im im) 2)))
120.0ms	(* im (fma 1/3 (* im im) 2))
225.0ms	(* (* 0.5 (sin re)) (- (fma (pow im 5) 1/60 (* im (fma 1/3 (* im im) 2)))))

simplify1.5s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1224
1	372
0	142

prune597.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

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

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1`
22×	`add-sqr-sqrt`
18×	`add-exp-log`
16×	`associate-r`
15×	`add-cbrt-cube`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l`
8×	`prod-exp`
6×	`pow-plus` `pow-prod-up` `cbrt-unprod` `unswap-sqr`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `unpow-prod-down` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `associate-*r/` `pow-sqr` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow3` `pow-exp` `flip-+`

Counts

4 → 105

Calls

4 calls:

19.0ms	(* 0.008333333333333333 (pow im 5))
17.0ms	(* (sin re) 0.16666666666666666)
29.0ms	(* (* im im) im)
24.0ms	(* (sin re) (+ (* 0.008333333333333333 (pow im 5)) (* 1.0 im)))

series602.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* 0.008333333333333333 (pow im 5))
42.0ms	(* (sin re) 0.16666666666666666)
43.0ms	(* (* im im) im)
417.0ms	(* (sin re) (+ (* 0.008333333333333333 (pow im 5)) (* 1.0 im)))

simplify1.6s

Counts

117 → 117

Iterations

Iter	Nodes
done	5002
2	1456
1	433
0	171

prune792.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize77.0ms

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))

rewrite41.0ms

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:

24.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
10.0ms	(cbrt (sin re))
2.0ms	(cbrt (sin re))
3.0ms	(cbrt (sin re))

series566.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
132.0ms	(cbrt (sin re))
159.0ms	(cbrt (sin re))
127.0ms	(cbrt (sin re))

simplify1.9s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
3	1370
2	475
1	183
0	81

prune537.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes455.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	23
1	23
0	17

end0.0ms

sample9.6s

Algorithm

intervals

Results

5.2s	4689×	body	1280	valid
2.5s	3823×	body	640	valid
757.0ms	1865×	body	320	valid
519.0ms	4389×	body	80	valid
253.0ms	972×	body	160	valid