Details

sample169.0ms

Algorithm

intervals

Results

59.0ms	83×	body	640	valid
56.0ms	103×	body	1280	valid
18.0ms	244×	body	80	valid
9.0ms	38×	body	320	valid
4.0ms	22×	body	160	valid

simplify5.2s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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)))

rewrite247.0ms

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:

76.0ms	(+ (exp (- 0.0 im)) (exp im))
168.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series144.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (exp (- 0.0 im)) (exp im))
115.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify4.6s

Counts

41 → 41

Iterations

Useful iterations: 3 (2.4s)

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

prune145.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize29.0ms

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

rewrite187.0ms

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:

62.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
69.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
54.0ms	(* (* 0.5 (sin re)) (exp im))

series238.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
59.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
61.0ms	(* (* 0.5 (sin re)) (exp im))

simplify1.8s

Counts

60 → 60

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	116	884
1	318	754
2	1279	646
done	5000	637

prune194.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))
0.6b	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
0.6b	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
0.6b	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))

rewrite346.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

112.0ms	(* (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))
90.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
67.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
73.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))

series1.0s

Counts

4 → 12

Calls

4 calls:

296.0ms	(* (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))
252.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
226.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
227.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))

simplify2.5s

Counts

84 → 84

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	136	2290
1	324	2101
2	948	1883
3	3400	1655
done	5000	1608

prune492.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
0.0b	(exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
1.6b	(log (exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

rewrite375.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

89.0ms	(+ (exp (- 0.0 im)) (exp im))
190.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
49.0ms	(exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
42.0ms	(log (exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

series406.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (exp (- 0.0 im)) (exp im))
111.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
123.0ms	(exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
137.0ms	(log (exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

simplify4.8s

Counts

75 → 75

Iterations

Useful iterations: 3 (2.5s)

Iter	Nodes	Cost
0	127	1164
1	315	1104
2	1154	950
3	4941	943
done	5001	943

prune402.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes277.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	16	17
done	16	17

end0.0ms

sample6.9s

Algorithm

intervals

Results

3.1s	2993×	body	1280	valid
1.6s	2492×	body	640	valid
967.0ms	8460×	body	80	valid
491.0ms	1258×	body	320	valid
124.0ms	656×	body	160	valid