Details

sample151.0ms

Algorithm

intervals

Results

53.0ms	75×	body	640	valid
48.0ms	93×	body	1280	valid
19.0ms	277×	body	80	valid
6.0ms	31×	body	320	valid
2.0ms	18×	body	160	valid

simplify1.0s

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite252.0ms

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:

56.0ms	(+ (exp (- 0.0 im)) (exp im))
193.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (exp (- 0.0 im)) (exp im))
111.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify1.1s

Counts

59 → 59

Iterations

Iter	Nodes
done	5002
2	1632
1	291
0	97

prune379.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite397.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-exp-log`
6×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`*-commutative`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `exp-diff` `associate-l/` `associate-r/` `flip-+` `unswap-sqr`

Counts

3 → 55

Calls

3 calls:

201.0ms	(+ (* (sin re) (* (exp (- 0.0 im)) 0.5)) (* 0.5 (* (sin re) (exp im))))
22.0ms	(* (sin re) (exp im))
172.0ms	(* (sin re) (* (exp (- 0.0 im)) 0.5))

series214.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(+ (* (sin re) (* (exp (- 0.0 im)) 0.5)) (* 0.5 (* (sin re) (exp im))))
51.0ms	(* (sin re) (exp im))
63.0ms	(* (sin re) (* (exp (- 0.0 im)) 0.5))

simplify1.2s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
2	1528
1	344
0	124

prune391.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
3×	`associate-r` `associate-l` `add-exp-log`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma (sin re) (* (exp (- 0.0 im)) 0.5) (* 0.5 (* (sin re) (exp im))))
23.0ms	(* (sin re) (exp im))

series203.0ms

Counts

2 → 6

Calls

2 calls:

146.0ms	(fma (sin re) (* (exp (- 0.0 im)) 0.5) (* 0.5 (* (sin re) (exp im))))
57.0ms	(* (sin re) (exp im))

simplify3.6s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
3	4351
2	642
1	177
0	78

prune275.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

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

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `pow1` `add-cbrt-cube`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`exp-diff` `associate-r` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 60

Calls

4 calls:

172.0ms	(* (sin re) (* (exp (- 0.0 im)) 0.5))
3.0ms	(cbrt (exp im))
3.0ms	(cbrt (exp im))
4.0ms	(cbrt (exp im))

series420.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (sin re) (* (exp (- 0.0 im)) 0.5))
128.0ms	(cbrt (exp im))
108.0ms	(cbrt (exp im))
108.0ms	(cbrt (exp im))

simplify2.2s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
3	4341
2	629
1	196
0	86

prune483.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes244.0ms

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	15
1	15
0	12

end0.0ms

sample7.1s

Algorithm

intervals

Results

2.9s	2944×	body	1280	valid
1.8s	2452×	body	640	valid
1.1s	8558×	body	80	valid
532.0ms	1214×	body	320	valid
123.0ms	608×	body	160	valid