Details

sample141.0ms

Algorithm

intervals

Results

45.0ms	103×	body	1280	valid
42.0ms	244×	body	80	valid
23.0ms	83×	body	640	valid
7.0ms	38×	body	320	valid
3.0ms	22×	body	160	valid

simplify59.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 35

Calls

2 calls:

41.0ms	(+ (exp (- 0.0 im)) (exp im))
126.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series104.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (exp (- 0.0 im)) (exp im))
76.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify33.0ms

Counts: 41 → 41

prune100.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube`
9×	`add-exp-log`
8×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-l` `exp-sum` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 51

Calls

3 calls:

60.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
65.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
25.0ms	(* (* 0.5 (sin re)) (exp im))

series189.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
50.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
41.0ms	(* (* 0.5 (sin re)) (exp im))

simplify48.0ms

Counts: 60 → 60

prune147.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))
0.6b	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
0.6b	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
0.6b	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

63.0ms	(* (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))
45.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
46.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
50.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))

series745.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(* (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))
164.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
173.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
163.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))

simplify39.0ms

Counts: 84 → 84

prune304.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
0.0b	(exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
1.6b	(log (exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`log-prod`
4×	`associate-r` `exp-sum`
3×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `log-pow` `cbrt-unprod`
2×	`exp-prod` `exp-to-pow` `flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `rem-log-exp` `associate-l` `sum-log` `*-commutative` `rem-exp-log`

Counts

4 → 63

Calls

4 calls:

42.0ms	(+ (exp (- 0.0 im)) (exp im))
117.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
25.0ms	(exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
26.0ms	(log (exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

series259.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (exp (- 0.0 im)) (exp im))
77.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
77.0ms	(exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
79.0ms	(log (exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

simplify40.0ms

Counts: 75 → 75

prune197.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes177.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.2s

Algorithm

intervals

Results

1.9s	2993×	body	1280	valid
1.5s	8460×	body	80	valid
903.0ms	2492×	body	640	valid
321.0ms	1258×	body	320	valid
86.0ms	656×	body	160	valid