Details

sample181.0ms

Algorithm

intervals

Results

72.0ms	96×	body	1280	valid
35.0ms	83×	body	640	valid
27.0ms	297×	body	80	valid
11.0ms	42×	body	320	valid
3.0ms	20×	body	160	valid

simplify70.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize71.0ms

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)))

rewrite652.0ms

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:

58.0ms	(+ (exp (- 0.0 im)) (exp im))
594.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series161.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (exp (- 0.0 im)) (exp im))
126.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify57.0ms

Counts: 41 → 41

prune177.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 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)))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

114.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
69.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series211.0ms

Counts

2 → 6

Calls

2 calls:

137.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
74.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify54.0ms

Counts: 39 → 39

prune188.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* 0.5 (sin re)) (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im)))))
1.0b	(cbrt (+ (exp (- 0.0 im)) (exp im)))
1.0b	(cbrt (+ (exp (- 0.0 im)) (exp im)))
1.0b	(cbrt (+ (exp (- 0.0 im)) (exp im)))

rewrite571.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`pow1` `add-exp-log`
13×	`*-un-lft-identity`
12×	`cbrt-prod` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `distribute-lft-out`
2×	`associate-*l/`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

437.0ms	(* (* 0.5 (sin re)) (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im)))))
32.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))
52.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))
46.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))

series812.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (* 0.5 (sin re)) (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im)))))
206.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))
191.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))
214.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))

simplify46.0ms

Counts: 84 → 84

prune351.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes179.0ms

Accuracy

23% (0.0b remaining)

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

bsearch0.0ms

simplify94.0ms

end0.0ms

sample7.4s

Algorithm

intervals

Results

2.6s	3022×	body	1280	valid
1.6s	8563×	body	80	valid
1.3s	2451×	body	640	valid
1000.0ms	1273×	body	320	valid
131.0ms	650×	body	160	valid