Details

sample205.0ms

Algorithm

intervals

Results

86.0ms	119×	body	1280	valid
40.0ms	260×	body	80	valid
38.0ms	87×	body	640	valid
13.0ms	41×	body	320	valid
3.0ms	16×	body	160	valid

simplify4.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3423
6	1200
5	471
4	194
3	102
2	61
1	26
0	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 1 expressions with local error:

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

rewrite158.0ms

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:

157.0ms

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

series124.0ms

Counts

1 → 3

Calls

1 calls:

124.0ms

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

simplify1.2s

Counts

26 → 26

Iterations

Iter	Nodes
done	5001
2	1001
1	245
0	79

prune170.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 3 expressions with local error:

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

rewrite54.0ms

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`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

17.0ms	(+ (* (exp im) (sin re)) (/ (sin re) (exp im)))
12.0ms	(/ (sin re) (exp im))
24.0ms	(* (exp im) (sin re))

series228.0ms

Counts

3 → 9

Calls

3 calls:

152.0ms	(+ (* (exp im) (sin re)) (/ (sin re) (exp im)))
32.0ms	(/ (sin re) (exp im))
44.0ms	(* (exp im) (sin re))

simplify2.1s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
3	3149
2	866
1	253
0	104

prune421.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize41.0ms

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)))

rewrite363.0ms

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:

267.0ms	(* (* 0.5 (sin re)) (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im)))))
44.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))
23.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))
24.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))

series805.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(* (* 0.5 (sin re)) (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im)))))
184.0ms	(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)))

simplify2.7s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
3	4045
2	1132
1	357
0	132

prune541.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes224.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample7.4s

Algorithm

intervals

Results

2.9s	2979×	body	1280	valid
1.6s	8451×	body	80	valid
1.3s	2555×	body	640	valid
619.0ms	645×	body	160	valid
456.0ms	1219×	body	320	valid