Details

sample201.0ms

Algorithm

intervals

Results

69.0ms	100×	body	1280	valid
45.0ms	297×	body	80	valid
29.0ms	71×	body	640	valid
15.0ms	48×	body	320	valid
6.0ms	30×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	797
4	204
3	125
2	63
1	26
0	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.2b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

14×	`fma-def` `*-un-lft-identity`
11×	`exp-sum`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`prod-diff`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`associate-r` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 53

Calls

2 calls:

54.0ms	(+ (exp (- 0.0 im)) (exp im))
200.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series184.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (exp (- 0.0 im)) (exp im))
133.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify1.6s

Counts

59 → 59

Iterations

Iter	Nodes
done	5002
2	1632
1	291
0	97

prune457.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.2b	(* (sin re) (+ (exp (- 0.0 im)) (exp im)))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`fma-def`
13×	`add-sqr-sqrt`
11×	`exp-sum` `add-cube-cbrt`
9×	`prod-diff`
4×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-log-exp`
3×	`associate-l`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `sub-neg` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 53

Calls

2 calls:

67.0ms	(+ (exp (- 0.0 im)) (exp im))
178.0ms	(* (sin re) (+ (exp (- 0.0 im)) (exp im)))

series100.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (exp (- 0.0 im)) (exp im))
68.0ms	(* (sin re) (+ (exp (- 0.0 im)) (exp im)))

simplify1.3s

Counts

59 → 59

Iterations

Iter	Nodes
done	5001
2	1054
1	244
0	85

prune400.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin re) (fma (* (cbrt (exp (- 0.0 im))) (cbrt (exp (- 0.0 im)))) (cbrt (exp (- 0.0 im))) (exp im)))
0.3b	(cbrt (exp (- 0.0 im)))
0.3b	(cbrt (exp (- 0.0 im)))
0.3b	(cbrt (exp (- 0.0 im)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-prod`
33×	`exp-sum`
29×	`add-sqr-sqrt`
27×	`*-un-lft-identity` `prod-diff` `add-cube-cbrt`
6×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `sub-neg` `exp-diff` `pow1/3` `associate-r` `associate-l`
2×	`fma-udef`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

7.0ms	(* (sin re) (fma (* (cbrt (exp (- 0.0 im))) (cbrt (exp (- 0.0 im)))) (cbrt (exp (- 0.0 im))) (exp im)))
12.0ms	(cbrt (exp (- 0.0 im)))
17.0ms	(cbrt (exp (- 0.0 im)))
15.0ms	(cbrt (exp (- 0.0 im)))

series901.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (sin re) (fma (* (cbrt (exp (- 0.0 im))) (cbrt (exp (- 0.0 im)))) (cbrt (exp (- 0.0 im))) (exp im)))
104.0ms	(cbrt (exp (- 0.0 im)))
478.0ms	(cbrt (exp (- 0.0 im)))
117.0ms	(cbrt (exp (- 0.0 im)))

simplify1.1s

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
2	933
1	287
0	143

prune575.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (* (* im im) (* im im)) 1/12 (* im im))
0.0b	(* (sin re) (+ (fma (* (* im im) (* im im)) 1/12 (* im im)) 2))
0.1b	(* (* im im) (* im im))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

116×	`pow1`
36×	`pow-prod-up`
24×	`pow-prod-down`
22×	`pow-sqr`
18×	`pow-plus`
17×	`add-cbrt-cube` `add-exp-log`
13×	`pow2`
9×	`prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`associate-r` `add-cube-cbrt`
4×	`associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `swap-sqr` `flip-+` `fma-udef` `distribute-lft-out`

Counts

3 → 100

Calls

3 calls:

0.0ms	(fma (* (* im im) (* im im)) 1/12 (* im im))
19.0ms	(* (sin re) (+ (fma (* (* im im) (* im im)) 1/12 (* im im)) 2))
33.0ms	(* (* im im) (* im im))

series380.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(fma (* (* im im) (* im im)) 1/12 (* im im))
183.0ms	(* (sin re) (+ (fma (* (* im im) (* im im)) 1/12 (* im im)) 2))
74.0ms	(* (* im im) (* im im))

simplify1.8s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	2391
1	354
0	115

prune396.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes272.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample7.0s

Algorithm

intervals

Results

3.0s	2890×	body	1280	valid
1.8s	2496×	body	640	valid
954.0ms	8553×	body	80	valid
400.0ms	1231×	body	320	valid
172.0ms	601×	body	160	valid