Details

sample382.0ms

Algorithm

intervals

Results

133.0ms	136×	body	1280	valid
92.0ms	83×	body	320	valid
78.0ms	137×	body	640	valid
20.0ms	172×	body	80	valid
7.0ms	30×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	39	11
3	86	11
4	262	11
5	1536	11
done	5000	11

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.3b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
7.6b	(- (exp (- im)) (exp im))

rewrite190.0ms

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:

141.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
46.0ms	(- (exp (- im)) (exp im))

series241.0ms

Counts

2 → 6

Calls

2 calls:

159.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
82.0ms	(- (exp (- im)) (exp im))

simplify1.5s

Counts

46 → 46

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	93	614
1	263	596
2	1477	508
done	5000	504

prune320.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 3 expressions with local error:

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

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

28.0ms	(* 1/60 (pow im 5))
27.0ms	(* (pow im 3) -1/3)
151.0ms	(* (* 0.5 (sin re)) (- (* (pow im 3) -1/3) (+ (* 1/60 (pow im 5)) (* 2 im))))

series531.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(* 1/60 (pow im 5))
78.0ms	(* (pow im 3) -1/3)
348.0ms	(* (* 0.5 (sin re)) (- (* (pow im 3) -1/3) (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify2.2s

Counts

89 → 89

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	162	1195
1	424	1117
2	2149	991
done	5001	989

prune755.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite684.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-exp-log`
27×	`prod-exp`
25×	`add-cbrt-cube`
24×	`add-sqr-sqrt`
23×	`associate-l`
14×	`pow1`
13×	`cbrt-unprod`
12×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `associate-r`
7×	`unswap-sqr`
6×	`pow-prod-down`
4×	`pow-to-exp` `cube-prod` `pow-exp` `*-commutative` `add-log-exp` `sqr-pow`
2×	`associate-*l/`
1×	`cube-mult` `flip3-+` `unpow3` `flip-+`

Counts

4 → 100

Calls

4 calls:

489.0ms	(* (pow im 5) -1/60)
74.0ms	(* (* (pow im 3) -1/3) (* 0.5 (sin re)))
28.0ms	(* (pow im 3) -1/3)
87.0ms	(* (+ (* im -2) (* (pow im 5) -1/60)) (* 0.5 (sin re)))

series432.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (pow im 5) -1/60)
108.0ms	(* (* (pow im 3) -1/3) (* 0.5 (sin re)))
81.0ms	(* (pow im 3) -1/3)
144.0ms	(* (+ (* im -2) (* (pow im 5) -1/60)) (* 0.5 (sin re)))

simplify2.0s

Counts

112 → 112

Iterations

Useful iterations: 2 (608.0ms)

Iter	Nodes	Cost
0	169	1292
1	457	1170
2	2111	1012
done	5001	1012

prune899.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize72.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* im -2) (* (pow im 5) -1/60))) (cbrt (+ (* im -2) (* (pow im 5) -1/60))))
0.6b	(cbrt (+ (* im -2) (* (pow im 5) -1/60)))
0.6b	(cbrt (+ (* im -2) (* (pow im 5) -1/60)))
0.6b	(cbrt (+ (* im -2) (* (pow im 5) -1/60)))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

96.0ms	(* (cbrt (+ (* im -2) (* (pow im 5) -1/60))) (cbrt (+ (* im -2) (* (pow im 5) -1/60))))
11.0ms	(cbrt (+ (* im -2) (* (pow im 5) -1/60)))
19.0ms	(cbrt (+ (* im -2) (* (pow im 5) -1/60)))
11.0ms	(cbrt (+ (* im -2) (* (pow im 5) -1/60)))

series5.5s

Counts

4 → 12

Calls

4 calls:

1.5s	(* (cbrt (+ (* im -2) (* (pow im 5) -1/60))) (cbrt (+ (* im -2) (* (pow im 5) -1/60))))
1.3s	(cbrt (+ (* im -2) (* (pow im 5) -1/60)))
1.3s	(cbrt (+ (* im -2) (* (pow im 5) -1/60)))
1.3s	(cbrt (+ (* im -2) (* (pow im 5) -1/60)))

simplify1.4s

Counts

99 → 99

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	170	2858
1	427	2637
2	1547	2445
done	5001	2182

prune1.3s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

regimes1.0s

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	25
1	27	25
done	27	25

end0.0ms

sample11.9s

Algorithm

intervals

Results

5.8s	4781×	body	1280	valid
3.1s	3763×	body	640	valid
1.2s	1925×	body	320	valid
611.0ms	4376×	body	80	valid
210.0ms	938×	body	160	valid