Details

sample97.0ms

Algorithm

intervals

Results

35.0ms	91×	body	1280	valid
23.0ms	87×	body	640	valid
13.0ms	273×	body	80	valid
6.0ms	35×	body	320	valid
2.0ms	16×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	63	12
3	120	12
4	197	12
5	244	12
6	355	12
7	423	12
8	700	12
9	1173	12
10	1473	12
11	1509	12
12	1566	12
done	1566	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite136.0ms

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` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

136.0ms

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

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

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

simplify2.7s

Counts

28 → 28

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	81	450
1	233	439
2	1003	365
3	4681	364
done	5000	364

prune64.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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)))

rewrite298.0ms

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×	`expm1-log1p-u` `pow-pow` `associate-l` `prod-exp` `pow-sqr` `pow-prod-up` `cbrt-unprod` `log1p-expm1-u`
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` `fma-neg` `diff-log` `unpow3` `prod-diff` `pow-exp` `sum-cubes` `flip--` `flip-+` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`

Counts

4 → 111

Calls

4 calls:

17.0ms	(* (exp im) (exp im))
4.0ms	(pow (exp im) 3)
257.0ms	(* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)))
16.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (exp im) (exp im))
29.0ms	(pow (exp im) 3)
109.0ms	(* (* 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)))

simplify1.9s

Counts

123 → 123

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	203	1491
1	527	1219
2	2394	1064
done	5000	984

prune402.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

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)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

37×	`associate-l`
35×	`add-sqr-sqrt`
33×	`add-cube-cbrt` `*-un-lft-identity`
22×	`exp-sum`
21×	`exp-prod`
19×	`prod-diff`
17×	`unpow-prod-down` `cube-prod`
15×	`add-exp-log`
12×	`pow1` `add-cbrt-cube`
10×	`prod-exp`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow-pow` `associate-r` `pow-prod-down` `pow-sqr` `pow-prod-up` `cbrt-unprod` `log1p-expm1-u`
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` `fma-neg` `diff-log` `associate-*l/` `flip--` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 135

Calls

4 calls:

17.0ms	(* (exp im) (exp im))
5.0ms	(pow (exp im) 3)
72.0ms	(* (pow (exp (- 0.0 im)) 3) (* 0.5 (sin re)))
19.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series159.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* (exp im) (exp im))
27.0ms	(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)))

simplify1.7s

Counts

147 → 147

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	221	1730
1	545	1388
2	2172	1187
done	5000	1018

prune484.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes109.0ms

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

sample2.9s

Algorithm

intervals

Results

1.2s	3017×	body	1280	valid
567.0ms	2433×	body	640	valid
423.0ms	8591×	body	80	valid
184.0ms	1212×	body	320	valid
59.0ms	584×	body	160	valid