Details

sample300.0ms

Algorithm

intervals

Results

160.0ms	146×	body	1280	valid
62.0ms	141×	body	640	valid
18.0ms	59×	body	320	valid
16.0ms	163×	body	80	valid
12.0ms	32×	body	160	valid

simplify12.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	50	11
3	117	11
4	1229	11
done	5000	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.9b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
5.7b	(- (exp (- im)) (exp im))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`associate-r`
4×	`add-log-exp`
3×	`add-cube-cbrt` `sub-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 40

Calls

2 calls:

92.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
37.0ms	(- (exp (- im)) (exp im))

series220.0ms

Counts

2 → 6

Calls

2 calls:

150.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
69.0ms	(- (exp (- im)) (exp im))

simplify2.0s

Counts

46 → 46

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	93	614
1	760	589
done	5000	508

prune218.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 1/60 (pow im 5))
0.1b	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
0.1b	(* 1/3 (pow im 3))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

29×	`associate-r`
25×	`add-sqr-sqrt`
18×	`add-exp-log`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-cbrt-cube`
9×	`prod-exp`
8×	`pow1` `unpow-prod-down`
7×	`associate-l` `unswap-sqr`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `*-commutative` `add-log-exp`
2×	`pow-to-exp` `distribute-neg-in` `associate-*r/` `pow-exp` `distribute-neg-frac`
1×	`distribute-rgt-in` `cube-mult` `neg-mul-1` `distribute-lft-in` `flip3-+` `unpow3` `distribute-rgt-neg-out` `flip-+`

Counts

3 → 86

Calls

3 calls:

21.0ms	(* 1/60 (pow im 5))
136.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
21.0ms	(* 1/3 (pow im 3))

series407.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(* 1/60 (pow im 5))
280.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
43.0ms	(* 1/3 (pow im 3))

simplify2.0s

Counts

95 → 95

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	181	1338
1	1577	1250
done	5000	1110

prune491.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 0.16666666666666666 (* (sin re) (pow im 3)))
0.1b	(* (sin re) (pow im 5))
0.1b	(* (sin re) (pow im 3))
0.1b	(* (sin re) im)

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`add-exp-log`
23×	`associate-r`
15×	`add-cbrt-cube`
14×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp`
12×	`associate-l`
8×	`pow1` `unpow-prod-down` `unswap-sqr`
6×	`cbrt-unprod`
4×	`cube-prod` `*-commutative` `add-log-exp` `sqr-pow`
3×	`pow-to-exp` `pow-exp`
2×	`pow-prod-down`
1×	`cube-mult` `unpow3`

Counts

4 → 93

Calls

4 calls:

48.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
28.0ms	(* (sin re) (pow im 5))
40.0ms	(* (sin re) (pow im 3))
13.0ms	(* (sin re) im)

series510.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
171.0ms	(* (sin re) (pow im 5))
135.0ms	(* (sin re) (pow im 3))
54.0ms	(* (sin re) im)

simplify1.8s

Counts

105 → 105

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	142	963
1	958	893
done	5001	781

prune521.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sin re) (pow im 5))
0.1b	(* (sin re) (pow im 3))
0.1b	(* (sin re) im)
1.0b	(log (exp (* (sin re) (pow im 3))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`associate-r`
16×	`add-exp-log`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`associate-l`
8×	`unpow-prod-down` `unswap-sqr`
7×	`pow1` `prod-exp`
5×	`add-log-exp`
4×	`cube-prod` `sqr-pow`
3×	`log-prod` `log-pow` `*-commutative` `cbrt-unprod`
2×	`pow-to-exp` `pow-exp`
1×	`cube-mult` `exp-prod` `exp-to-pow` `unpow3` `rem-log-exp` `pow-prod-down`

Counts

4 → 88

Calls

4 calls:

28.0ms	(* (sin re) (pow im 5))
17.0ms	(* (sin re) (pow im 3))
10.0ms	(* (sin re) im)
13.0ms	(log (exp (* (sin re) (pow im 3))))

series468.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (sin re) (pow im 5))
117.0ms	(* (sin re) (pow im 3))
47.0ms	(* (sin re) im)
136.0ms	(log (exp (* (sin re) (pow im 3))))

simplify2.0s

Counts

100 → 100

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	133	895
1	860	800
done	5000	720

prune539.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes369.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify19.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	27
1	33	27
2	43	27
3	55	27
4	66	27
done	66	27

end0.0ms

sample9.7s

Algorithm

intervals

Results

4.6s	4689×	body	1280	valid
2.4s	3755×	body	640	valid
1.2s	1934×	body	320	valid
569.0ms	4494×	body	80	valid
243.0ms	938×	body	160	valid