Details

sample304.0ms

Algorithm

intervals

Results

132.0ms	139×	body	1280	valid
73.0ms	118×	body	640	valid
55.0ms	56×	body	320	valid
20.0ms	157×	body	80	valid
8.0ms	33×	body	160	valid

simplify4.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5014
8	4841
7	2530
6	1227
5	512
4	186
3	84
2	39
1	18
0	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.7b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
6.5b	(- (exp (- im)) (exp im))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
5×	`associate-r`
4×	`add-log-exp`
3×	`sub-neg` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-*r/` `insert-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 42

Calls

2 calls:

87.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
27.0ms	(- (exp (- im)) (exp im))

series166.0ms

Counts

2 → 6

Calls

2 calls:

120.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
47.0ms	(- (exp (- im)) (exp im))

simplify2.7s

Counts

48 → 48

Iterations

Iter	Nodes
done	5002
3	3770
2	861
1	258
0	94

prune227.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow im 5) 1/60)
0.1b	(* im (* im im))
0.1b	(* (* 0.5 (sin re)) (- (* -1/3 (* im (* im im))) (+ im (+ im (* (pow im 5) 1/60)))))
0.2b	(* -1/3 (* im (* im im)))

rewrite321.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
28×	`add-exp-log`
25×	`add-cbrt-cube`
16×	`add-sqr-sqrt`
15×	`prod-exp`
14×	`associate-l`
13×	`cbrt-unprod`
12×	`pow-prod-down`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
5×	`pow-prod-up`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `sqr-pow`
1×	`pow2` `pow-to-exp` `pow-plus` `flip3--` `cube-unmult` `pow-exp` `pow-sqr` `flip--`

Counts

4 → 98

Calls

4 calls:

11.0ms	(* (pow im 5) 1/60)
22.0ms	(* im (* im im))
250.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (* im (* im im))) (+ im (+ im (* (pow im 5) 1/60)))))
37.0ms	(* -1/3 (* im (* im im)))

series464.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (pow im 5) 1/60)
67.0ms	(* im (* im im))
257.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (* im (* im im))) (+ im (+ im (* (pow im 5) 1/60)))))
42.0ms	(* -1/3 (* im (* im im)))

simplify1.7s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1704
1	453
0	172

prune507.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow im 5) 1/60)
0.1b	(* (* 0.5 (- (* im (- (* (* -1/3 im) im) 2)) (* (pow im 5) 1/60))) (sin re))
0.1b	(* (* -1/3 im) im)
0.3b	(* -1/3 im)

rewrite502.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
18×	`add-sqr-sqrt` `add-cbrt-cube`
16×	`pow1`
12×	`associate-r` `associate-l`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`prod-exp`
8×	`cbrt-unprod`
7×	`pow-prod-down`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`associate-l/` `associate-r/` `sqr-pow`
1×	`pow-to-exp` `flip3--` `pow-exp` `flip--`

Counts

4 → 85

Calls

4 calls:

17.0ms	(* (pow im 5) 1/60)
445.0ms	(* (* 0.5 (- (* im (- (* (* -1/3 im) im) 2)) (* (pow im 5) 1/60))) (sin re))
28.0ms	(* (* -1/3 im) im)
10.0ms	(* -1/3 im)

series318.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (pow im 5) 1/60)
142.0ms	(* (* 0.5 (- (* im (- (* (* -1/3 im) im) 2)) (* (pow im 5) 1/60))) (sin re))
50.0ms	(* (* -1/3 im) im)
29.0ms	(* -1/3 im)

simplify1.6s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1309
1	402
0	156

prune515.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin re)) (cbrt (sin re)))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 77

Calls

4 calls:

11.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
1.0ms	(cbrt (sin re))
1.0ms	(cbrt (sin re))
1.0ms	(cbrt (sin re))

series612.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
121.0ms	(cbrt (sin re))
160.0ms	(cbrt (sin re))
162.0ms	(cbrt (sin re))

simplify2.0s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
3	1394
2	456
1	176
0	77

prune562.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes434.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	27
1	27
0	19

end0.0ms

sample11.5s

Algorithm

intervals

Results

5.0s	4694×	body	1280	valid
3.0s	3591×	body	640	valid
1.2s	1010×	body	160	valid
1.1s	4501×	body	80	valid
812.0ms	1886×	body	320	valid