Details

sample97.0ms

Algorithm

intervals

Results

39.0ms	91×	body	1280	valid
19.0ms	87×	body	640	valid
13.0ms	273×	body	80	valid
6.0ms	35×	body	320	valid
2.0ms	16×	body	160	valid

simplify3.1s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

118.0ms

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

series75.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

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

simplify2.8s

Counts

26 → 26

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	79	424
1	229	414
2	971	340
3	4443	338
done	5001	338

prune55.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp im) (exp im))
0.0b	(pow (exp im) 3)
0.3b	(* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)))
7.1b	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
21×	`add-sqr-sqrt` `exp-prod`
19×	`add-cube-cbrt`
17×	`pow1`
12×	`associate-r` `add-cbrt-cube`
9×	`add-exp-log`
7×	`unpow-prod-down` `cube-prod` `pow-prod-down`
6×	`add-log-exp`
5×	`distribute-lft-out`
4×	`pow-pow` `associate-l` `prod-exp` `pow-sqr` `pow-prod-up` `cbrt-unprod`
3×	`pow-unpow` `swap-sqr`
2×	`associate-r/` `-commutative`
1×	`pow2` `distribute-rgt-in` `cube-mult` `pow-to-exp` `sub-neg` `flip3--` `distribute-rgt-out--` `distribute-lft-in` `flip3-+` `pow-plus` `diff-log` `unpow3` `pow-exp` `sum-cubes` `flip--` `flip-+` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`

Counts

4 → 101

Calls

4 calls:

18.0ms	(* (exp im) (exp im))
4.0ms	(pow (exp im) 3)
193.0ms	(* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)))
17.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series194.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (exp im) (exp im))
24.0ms	(pow (exp im) 3)
105.0ms	(* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)))
47.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify1.4s

Counts

113 → 113

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	190	1371
1	497	1116
2	2206	969
done	5000	907

prune344.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp im) (exp im))
0.0b	(pow (exp im) 3)
0.2b	(* (pow (exp (- 0.0 im)) 3) (* 0.5 (sin re)))
7.1b	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `exp-prod` `*-un-lft-identity`
19×	`associate-l`
15×	`add-exp-log`
12×	`pow1` `add-cbrt-cube`
10×	`prod-exp`
8×	`unpow-prod-down` `cube-prod`
6×	`add-log-exp`
4×	`pow-pow` `associate-r` `exp-sum` `pow-prod-down` `pow-sqr` `pow-prod-up` `cbrt-unprod`
3×	`pow-to-exp` `sub-neg` `pow-unpow` `swap-sqr` `pow-exp`
2×	`cube-mult` `unpow3` `*-commutative` `sqr-pow`
1×	`cube-div` `pow2` `flip3--` `distribute-rgt-out--` `pow-plus` `exp-diff` `diff-log` `associate-*l/` `flip--` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

17.0ms	(* (exp im) (exp im))
4.0ms	(pow (exp im) 3)
59.0ms	(* (pow (exp (- 0.0 im)) 3) (* 0.5 (sin re)))
20.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series161.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (exp im) (exp im))
28.0ms	(pow (exp im) 3)
69.0ms	(* (pow (exp (- 0.0 im)) 3) (* 0.5 (sin re)))
50.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify1.2s

Counts

119 → 119

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	191	1266
1	464	1008
2	1894	909
done	5001	849

prune372.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	3017×	body	1280	valid
556.0ms	2433×	body	640	valid
420.0ms	8591×	body	80	valid
181.0ms	1212×	body	320	valid
63.0ms	584×	body	160	valid