Details

sample115.0ms

Algorithm

intervals

Results

45.0ms	93×	body	1280	valid
21.0ms	75×	body	640	valid
18.0ms	277×	body	80	valid
6.0ms	31×	body	320	valid
3.0ms	18×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	63	12
3	125	12
4	204	12
5	797	12
done	5001	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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)))

rewrite288.0ms

Algorithm

rewrite-expression-head

Rules

14×	`fma-def` `*-un-lft-identity`
11×	`exp-sum`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`prod-diff`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`associate-r` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 53

Calls

2 calls:

95.0ms	(+ (exp (- 0.0 im)) (exp im))
188.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series134.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (exp (- 0.0 im)) (exp im))
108.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify1.0s

Counts

59 → 59

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	97	642
1	291	622
2	1632	532
done	5002	528

prune333.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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)))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

17×	`associate-l`
13×	`pow1` `add-cbrt-cube`
11×	`add-sqr-sqrt` `*-un-lft-identity` `exp-sum` `add-cube-cbrt`
9×	`prod-diff` `add-exp-log`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-r` `*-commutative`
1×	`+-commutative` `sum-log` `sub-neg` `fma-def` `flip3-+` `distribute-rgt-out` `exp-diff` `associate-*l/` `flip-+`

Counts

3 → 67

Calls

3 calls:

95.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
24.0ms	(* (exp im) (* 0.5 (sin re)))
116.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

series256.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
54.0ms	(* (exp im) (* 0.5 (sin re)))
94.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

simplify1.2s

Counts

76 → 76

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	136	1113
1	373	945
2	1504	799
done	5000	787

prune397.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 3 expressions with local error:

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

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `associate-/r` `times-frac` `associate-l*` `pow-prod-down` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `associate-r` `-commutative` `flip-+` `div-inv` `associate-/l`

Counts

3 → 57

Calls

3 calls:

43.0ms	(+ (* (exp 0.0) (/ (* (sin re) 0.5) (exp im))) (* (exp im) (* 0.5 (sin re))))
20.0ms	(* (exp im) (* 0.5 (sin re)))
21.0ms	(/ (* (sin re) 0.5) (exp im))

series361.0ms

Counts

3 → 9

Calls

3 calls:

221.0ms	(+ (* (exp 0.0) (/ (* (sin re) 0.5) (exp im))) (* (exp im) (* 0.5 (sin re))))
72.0ms	(* (exp im) (* 0.5 (sin re)))
68.0ms	(/ (* (sin re) 0.5) (exp im))

simplify1.4s

Counts

66 → 66

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	134	955
1	397	894
2	1921	788
done	5000	775

prune318.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (sin re) (exp im) (/ (sin re) (exp (- im 0.0))))
0.0b	(/ (sin re) (exp (- im 0.0)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
44×	`exp-sum`
42×	`times-frac`
36×	`prod-diff`
14×	`associate-/r*`
4×	`sub-neg` `add-cbrt-cube`
3×	`add-exp-log` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `exp-diff` `div-exp` `associate-/r/` `fma-udef` `div-inv`

Counts

2 → 84

Calls

2 calls:

0.0ms	(fma (sin re) (exp im) (/ (sin re) (exp (- im 0.0))))
27.0ms	(/ (sin re) (exp (- im 0.0)))

series149.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(fma (sin re) (exp im) (/ (sin re) (exp (- im 0.0))))
46.0ms	(/ (sin re) (exp (- im 0.0)))

simplify626.0ms

Counts

90 → 90

Iterations

Useful iterations: done (622.0ms)

Iter	Nodes	Cost
0	174	1728
1	320	1441
2	925	1213
done	5000	1159

prune832.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes190.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	12	14
done	12	14

end0.0ms

sample6.9s

Algorithm

intervals

Results

2.5s	2944×	body	1280	valid
1.6s	8558×	body	80	valid
1.3s	2452×	body	640	valid
724.0ms	1214×	body	320	valid
159.0ms	608×	body	160	valid