Details

sample158.0ms

Algorithm

intervals

Results

60.0ms	119×	body	1280	valid
34.0ms	260×	body	80	valid
28.0ms	87×	body	640	valid
9.0ms	41×	body	320	valid
2.0ms	16×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	760
4	175
3	108
2	61
1	26
0	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

141.0ms

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

series100.0ms

Counts

1 → 3

Calls

1 calls:

100.0ms

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

simplify1.6s

Counts

26 → 26

Iterations

Iter	Nodes
done	5001
2	1483
1	245
0	79

prune155.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (sin re) (exp im)) (* (sin re) (exp im)))
0.0b	(/ (sin re) (exp im))
0.0b	(* (sin re) (exp im))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`div-inv`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

46.0ms	(+ (/ (sin re) (exp im)) (* (sin re) (exp im)))
16.0ms	(/ (sin re) (exp im))
14.0ms	(* (sin re) (exp im))

series238.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(+ (/ (sin re) (exp im)) (* (sin re) (exp im)))
57.0ms	(/ (sin re) (exp im))
56.0ms	(* (sin re) (exp im))

simplify1.1s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
2	982
1	243
0	101

prune376.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* 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)))

rewrite442.0ms

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:

327.0ms	(* (* 0.5 (sin re)) (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im)))))
47.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))
39.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))
24.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))

series756.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (* 0.5 (sin re)) (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im)))))
151.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))
198.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))
210.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))

simplify1.4s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1328
1	362
0	132

prune579.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes234.0ms

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	12
1	12
0	9

end0.0ms

sample6.8s

Algorithm

intervals

Results

2.5s	2979×	body	1280	valid
1.7s	2555×	body	640	valid
1.5s	8451×	body	80	valid
524.0ms	1219×	body	320	valid
221.0ms	645×	body	160	valid