Details

sample182.0ms

Algorithm

intervals

Results

60.0ms	92×	body	1280	valid
41.0ms	291×	body	80	valid
40.0ms	99×	body	640	valid
10.0ms	42×	body	320	valid
3.0ms	17×	body	160	valid

simplify5.3s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite277.0ms

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:

42.0ms	(+ (exp (- 0.0 im)) (exp im))
233.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series190.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (exp (- 0.0 im)) (exp im))
139.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify4.9s

Counts

41 → 41

Iterations

Useful iterations: 3 (2.6s)

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

prune168.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite244.0ms

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:

86.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
122.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
34.0ms	(* (* 0.5 (sin re)) (exp im))

series259.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
134.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
67.0ms	(* (* 0.5 (sin re)) (exp im))

simplify1.7s

Counts

60 → 60

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	116	884
1	318	754
2	1279	646
done	5001	637

prune246.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

45.0ms	(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
47.0ms	(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
42.0ms	(* (* 0.5 (sin re)) (exp im))

series391.0ms

Counts

3 → 9

Calls

3 calls:

159.0ms	(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
172.0ms	(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
60.0ms	(* (* 0.5 (sin re)) (exp im))

simplify1.8s

Counts

61 → 61

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	127	1021
1	380	896
2	1769	767
done	5001	763

prune183.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
60×	`sqrt-prod`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`add-cbrt-cube`
26×	`add-exp-log`
12×	`associate-/r*`
11×	`associate-/l*`
10×	`cbrt-undiv` `div-exp`
9×	`pow1` `prod-exp` `cbrt-unprod` `div-inv`
6×	`add-log-exp`
3×	`associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+` `associate-/l/`

Counts

4 → 153

Calls

4 calls:

97.0ms	(+ (/ (/ (* (* 0.5 (sin re)) (exp 0.0)) (sqrt (exp im))) (sqrt (exp im))) (* (* 0.5 (sin re)) (exp im)))
41.0ms	(/ (/ (* (* 0.5 (sin re)) (exp 0.0)) (sqrt (exp im))) (sqrt (exp im)))
30.0ms	(* (* 0.5 (sin re)) (exp im))
37.0ms	(/ (* (* 0.5 (sin re)) (exp 0.0)) (sqrt (exp im)))

series594.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(+ (/ (/ (* (* 0.5 (sin re)) (exp 0.0)) (sqrt (exp im))) (sqrt (exp im))) (* (* 0.5 (sin re)) (exp im)))
162.0ms	(/ (/ (* (* 0.5 (sin re)) (exp 0.0)) (sqrt (exp im))) (sqrt (exp im)))
52.0ms	(* (* 0.5 (sin re)) (exp im))
187.0ms	(/ (* (* 0.5 (sin re)) (exp 0.0)) (sqrt (exp im)))

simplify1.8s

Counts

165 → 165

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	248	3688
1	678	3171
2	2691	2785
done	5000	2741

prune564.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes135.0ms

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 (0.0ms)

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

end0.0ms

sample7.4s

Algorithm

intervals

Results

2.9s	2971×	body	1280	valid
1.9s	2460×	body	640	valid
1.3s	8550×	body	80	valid
379.0ms	1237×	body	320	valid
119.0ms	592×	body	160	valid