Details

sample108.0ms

Algorithm

intervals

Results

42.0ms	98×	body	1280	valid
19.0ms	77×	body	640	valid
15.0ms	281×	body	80	valid
6.0ms	37×	body	320	valid
3.0ms	24×	body	160	valid

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	61	12
3	105	12
4	171	12
5	209	12
6	319	12
7	357	12
8	625	12
9	1054	12
10	1345	12
11	1381	12
12	1435	12
done	1435	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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)))

rewrite237.0ms

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:

69.0ms	(+ (exp (- 0.0 im)) (exp im))
166.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series149.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (exp (- 0.0 im)) (exp im))
115.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify4.1s

Counts

41 → 41

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	93	600
1	263	582
2	1038	490
3	4500	487
done	5000	487

prune164.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp im) (exp (- 0.0 im)))
0.0b	(cbrt (pow (+ (exp im) (exp (- 0.0 im))) 3))
0.0b	(* (* 0.5 (sin re)) (cbrt (pow (+ (exp im) (exp (- 0.0 im))) 3)))
0.0b	(pow (+ (exp im) (exp (- 0.0 im))) 3)

rewrite383.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod` `*-un-lft-identity`
17×	`associate-r`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`unpow-prod-down` `cube-prod`
10×	`pow1` `add-exp-log`
8×	`add-cbrt-cube`
7×	`distribute-lft-out`
6×	`cube-div` `add-log-exp`
4×	`cbrt-div` `flip3-+` `flip-+`
3×	`cube-mult` `pow-unpow` `unpow3` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`associate-*r/`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `associate-l` `pow-exp` `sum-log` `*-commutative` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 98

Calls

4 calls:

41.0ms	(+ (exp im) (exp (- 0.0 im)))
71.0ms	(cbrt (pow (+ (exp im) (exp (- 0.0 im))) 3))
199.0ms	(* (* 0.5 (sin re)) (cbrt (pow (+ (exp im) (exp (- 0.0 im))) 3)))
66.0ms	(pow (+ (exp im) (exp (- 0.0 im))) 3)

series247.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (exp im) (exp (- 0.0 im)))
32.0ms	(cbrt (pow (+ (exp im) (exp (- 0.0 im))) 3))
96.0ms	(* (* 0.5 (sin re)) (cbrt (pow (+ (exp im) (exp (- 0.0 im))) 3)))
73.0ms	(pow (+ (exp im) (exp (- 0.0 im))) 3)

simplify1.2s

Counts

110 → 110

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	152	1763
1	383	1433
2	1487	1275
done	5000	1269

prune427.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 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 im))
0.0b	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

115.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
26.0ms	(* (* 0.5 (sin re)) (exp im))
125.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series275.0ms

Counts

3 → 9

Calls

3 calls:

141.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
55.0ms	(* (* 0.5 (sin re)) (exp im))
79.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify1.6s

Counts

60 → 60

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	116	884
1	318	754
2	1286	646
done	5000	637

prune251.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (exp im) (exp (- 0.0 im))))
0.0b	(pow (+ (exp im) (exp (- 0.0 im))) 3)
0.4b	(* (* (sqrt (+ (exp im) (exp (- 0.0 im)))) (* 0.5 (sin re))) (sqrt (cbrt (pow (+ (exp im) (exp (- 0.0 im))) 3))))
0.5b	(* (sqrt (+ (exp im) (exp (- 0.0 im)))) (* 0.5 (sin re)))

rewrite571.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
25×	`sqrt-prod`
21×	`associate-r`
20×	`pow1`
19×	`add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt` `sqrt-div`
15×	`add-cube-cbrt`
14×	`cbrt-prod`
10×	`associate-*l/`
9×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
8×	`cube-div` `unpow-prod-down` `cube-prod` `associate-l`
6×	`cbrt-div` `distribute-lft-out`
4×	`frac-times` `add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `unpow3` `associate-r/` `-commutative` `sqr-pow`
1×	`pow-to-exp` `rem-sqrt-square` `pow-pow` `sqrt-pow1` `pow1/2` `pow-exp` `rem-cube-cbrt`

Counts

4 → 113

Calls

4 calls:

45.0ms	(sqrt (+ (exp im) (exp (- 0.0 im))))
64.0ms	(pow (+ (exp im) (exp (- 0.0 im))) 3)
359.0ms	(* (* (sqrt (+ (exp im) (exp (- 0.0 im)))) (* 0.5 (sin re))) (sqrt (cbrt (pow (+ (exp im) (exp (- 0.0 im))) 3))))
99.0ms	(* (sqrt (+ (exp im) (exp (- 0.0 im)))) (* 0.5 (sin re)))

series453.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(sqrt (+ (exp im) (exp (- 0.0 im))))
93.0ms	(pow (+ (exp im) (exp (- 0.0 im))) 3)
107.0ms	(* (* (sqrt (+ (exp im) (exp (- 0.0 im)))) (* 0.5 (sin re))) (sqrt (cbrt (pow (+ (exp im) (exp (- 0.0 im))) 3))))
170.0ms	(* (sqrt (+ (exp im) (exp (- 0.0 im)))) (* 0.5 (sin re)))

simplify1.9s

Counts

125 → 125

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	235	2825
1	551	2300
2	1957	1940
done	5001	1900

prune565.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes136.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	15
1	17	15
done	17	15

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.7s	2991×	body	1280	valid
825.0ms	2451×	body	640	valid
599.0ms	8605×	body	80	valid
290.0ms	1230×	body	320	valid
84.0ms	570×	body	160	valid