Details

sample146.0ms

Algorithm

intervals

Results

47.0ms	277×	body	80	valid
46.0ms	93×	body	1280	valid
21.0ms	75×	body	640	valid
6.0ms	31×	body	320	valid
2.0ms	18×	body	160	valid

simplify970.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	61	12
3	108	12
4	175	12
5	760	12
done	5001	12

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

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)))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

33.0ms	(+ (exp (- 0.0 im)) (exp im))
104.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series164.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (exp (- 0.0 im)) (exp im))
121.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify836.0ms

Counts

41 → 41

Iterations

Useful iterations: done (834.0ms)

Iter	Nodes	Cost
0	93	600
1	279	582
2	1569	494
done	5002	489

prune200.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

110.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
38.0ms	(* (exp im) (* 0.5 (sin re)))
125.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

series294.0ms

Counts

3 → 9

Calls

3 calls:

143.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
85.0ms	(* (exp im) (* 0.5 (sin re)))
66.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

simplify807.0ms

Counts

60 → 60

Iterations

Useful iterations: done (804.0ms)

Iter	Nodes	Cost
0	112	882
1	314	758
2	1310	650
done	5001	637

prune261.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-cbrt-cube`
10×	`add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `*-un-lft-identity` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
5×	`add-log-exp`
3×	`cbrt-undiv` `associate-/r` `times-frac` `div-exp` `associate-l*` `pow-prod-down`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `associate-r` `-commutative` `flip-+` `div-inv` `associate-/l`

Counts

3 → 52

Calls

3 calls:

56.0ms	(+ (/ (* (exp 0.0) (* 0.5 (sin re))) (exp im)) (* (exp im) (* 0.5 (sin re))))
31.0ms	(* (exp im) (* 0.5 (sin re)))
26.0ms	(/ (* (exp 0.0) (* 0.5 (sin re))) (exp im))

series409.0ms

Counts

3 → 9

Calls

3 calls:

214.0ms	(+ (/ (* (exp 0.0) (* 0.5 (sin re))) (exp im)) (* (exp im) (* 0.5 (sin re))))
53.0ms	(* (exp im) (* 0.5 (sin re)))
141.0ms	(/ (* (exp 0.0) (* 0.5 (sin re))) (exp im))

simplify1.7s

Counts

61 → 61

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	129	1021
1	395	957
2	2009	816
done	5000	794

prune380.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 3 expressions with local error:

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

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-cbrt-cube`
10×	`add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`exp-neg` `associate-r/` `-commutative`
1×	`neg-sub0` `+-commutative` `sum-log` `flip3-+` `exp-diff` `un-div-inv` `flip-+`

Counts

3 → 53

Calls

3 calls:

80.0ms	(+ (* (* (exp 0.0) (* 0.5 (sin re))) (exp (- im))) (* (exp im) (* 0.5 (sin re))))
20.0ms	(* (exp im) (* 0.5 (sin re)))
113.0ms	(* (* (exp 0.0) (* 0.5 (sin re))) (exp (- im)))

series438.0ms

Counts

3 → 9

Calls

3 calls:

213.0ms	(+ (* (* (exp 0.0) (* 0.5 (sin re))) (exp (- im))) (* (exp im) (* 0.5 (sin re))))
74.0ms	(* (exp im) (* 0.5 (sin re)))
150.0ms	(* (* (exp 0.0) (* 0.5 (sin re))) (exp (- im)))

simplify1.5s

Counts

62 → 62

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	135	1055
1	412	979
2	2263	751
done	5002	746

prune270.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes308.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	18
1	16	18
done	16	18

end0.0ms

sample7.1s

Algorithm

intervals

Results

2.3s	2944×	body	1280	valid
1.9s	2452×	body	640	valid
1.5s	8558×	body	80	valid
450.0ms	1214×	body	320	valid
288.0ms	608×	body	160	valid