Details

sample204.0ms

Algorithm

intervals

Results

64.0ms	101×	body	1280	valid
32.0ms	74×	body	640	valid
25.0ms	274×	body	80	valid
11.0ms	42×	body	320	valid
4.0ms	21×	body	160	valid

simplify7.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	364
1	26	364
2	61	364
3	102	364
4	194	364
5	471	364
6	1200	364
7	3423	364
done	5000	364

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize28.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

136.0ms

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

series88.0ms

Counts

1 → 3

Calls

1 calls:

88.0ms

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

simplify2.0s

Counts

26 → 26

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	79	11036
1	245	10180
2	1001	9940
done	5001	9760

prune123.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* re (* im im)) 0.5)
0.1b	(* re (- 1.0 (* 0.16666666666666666 (* re re))))
0.1b	(* 0.16666666666666666 (* re re))
8.6b	(* re (* im im))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-l`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
4×	`*-commutative` `add-log-exp`
3×	`unswap-sqr`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--`

Counts

4 → 83

Calls

4 calls:

51.0ms	(* (* re (* im im)) 0.5)
19.0ms	(* re (- 1.0 (* 0.16666666666666666 (* re re))))
13.0ms	(* 0.16666666666666666 (* re re))
19.0ms	(* re (* im im))

series276.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* re (* im im)) 0.5)
153.0ms	(* re (- 1.0 (* 0.16666666666666666 (* re re))))
29.0ms	(* 0.16666666666666666 (* re re))
57.0ms	(* re (* im im))

simplify1.7s

Counts

95 → 95

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	130	18813
1	393	15838
2	1476	15558
done	5004	14918

prune286.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* im (cbrt 0.5)) (* im (cbrt 0.5)))
0.4b	(* im (cbrt 0.5))
0.4b	(* im (cbrt 0.5))
8.7b	(* re (* (* im (cbrt 0.5)) (* im (cbrt 0.5))))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

65×	`pow1`
38×	`add-exp-log`
32×	`pow-prod-down`
28×	`add-cbrt-cube`
23×	`prod-exp` `cbrt-unprod`
20×	`add-sqr-sqrt`
14×	`associate-r`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l`
8×	`cbrt-prod`
5×	`unswap-sqr`
4×	`pow-sqr` `*-commutative` `pow-prod-up` `add-log-exp`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

4 → 106

Calls

4 calls:

25.0ms	(* (* im (cbrt 0.5)) (* im (cbrt 0.5)))
7.0ms	(* im (cbrt 0.5))
7.0ms	(* im (cbrt 0.5))
69.0ms	(* re (* (* im (cbrt 0.5)) (* im (cbrt 0.5))))

series426.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (* im (cbrt 0.5)) (* im (cbrt 0.5)))
85.0ms	(* im (cbrt 0.5))
61.0ms	(* im (cbrt 0.5))
165.0ms	(* re (* (* im (cbrt 0.5)) (* im (cbrt 0.5))))

simplify4.5s

Counts

118 → 118

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	91	26387
1	227	22183
2	873	22023
3	4425	21743
done	5005	21743

prune513.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize65.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt im)
0.6b	(cbrt im)
0.6b	(cbrt im)
8.7b	(* re (* (* im (cbrt 0.5)) (* (* (cbrt im) (cbrt im)) (* (cbrt im) (cbrt 0.5)))))

rewrite413.0ms

Algorithm

rewrite-expression-head

Rules

57×	`pow1` `add-exp-log`
42×	`pow-prod-down` `prod-exp` `cbrt-unprod`
36×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`add-log-exp`
3×	`pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 78

Calls

4 calls:

1.0ms	(cbrt im)
1.0ms	(cbrt im)
1.0ms	(cbrt im)
408.0ms	(* re (* (* im (cbrt 0.5)) (* (* (cbrt im) (cbrt im)) (* (cbrt im) (cbrt 0.5)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

312.0ms	(cbrt im)
274.0ms	(cbrt im)
280.0ms	(cbrt im)
171.0ms	(* re (* (* im (cbrt 0.5)) (* (* (cbrt im) (cbrt im)) (* (cbrt im) (cbrt 0.5)))))

simplify4.2s

Counts

90 → 90

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	126	33187
1	397	28638
2	1920	27801
done	5001	18881

prune430.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

regimes331.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	364
1	14	364
done	14	364

end0.0ms

sample6.8s

Algorithm

intervals

Results

2.8s	2903×	body	1280	valid
1.7s	2477×	body	640	valid
1.3s	8379×	body	80	valid
334.0ms	1196×	body	320	valid
217.0ms	660×	body	160	valid