Details

sample148.0ms

Algorithm

intervals

Results

51.0ms	86×	body	1280	valid
26.0ms	71×	body	640	valid
26.0ms	302×	body	80	valid
20.0ms	35×	body	320	valid
4.0ms	21×	body	160	valid

simplify4.5s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 1 expressions with local error:

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

rewrite126.0ms

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:

126.0ms

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

series120.0ms

Counts

1 → 3

Calls

1 calls:

120.0ms

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

simplify1.5s

Counts

26 → 26

Iterations

Iter	Nodes
done	5001
2	1001
1	245
0	79

prune179.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))
0.6b	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
0.6b	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
0.6b	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))

rewrite613.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

91.0ms	(* (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))
69.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
414.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
35.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))

series1.1s

Counts

4 → 12

Calls

4 calls:

357.0ms	(* (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))
228.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
248.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
243.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))

simplify2.5s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
3	3558
2	1038
1	369
0	134

prune576.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

47.0ms	(* 0.5 (* im (* im re)))
13.0ms	(* re (- 1.0 (* (* 0.16666666666666666 re) re)))
25.0ms	(* (* 0.16666666666666666 re) re)
25.0ms	(* im (* im re))

series210.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* 0.5 (* im (* im re)))
122.0ms	(* re (- 1.0 (* (* 0.16666666666666666 re) re)))
35.0ms	(* (* 0.16666666666666666 re) re)
25.0ms	(* im (* im re))

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1287
1	353
0	128

prune414.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize58.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* im (* im re))))
0.1b	(* im (* im re))
0.2b	(* (cbrt 0.5) (* im (* im re)))
1.0b	(* (cbrt 0.5) (cbrt 0.5))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

57×	`pow1`
52×	`add-exp-log`
35×	`pow-prod-down`
34×	`prod-exp` `cbrt-unprod`
33×	`add-cbrt-cube`
23×	`add-sqr-sqrt`
19×	`cbrt-prod`
16×	`associate-l`
15×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
6×	`pow1/3` `swap-sqr`
4×	`*-commutative` `add-log-exp` `unswap-sqr`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 116

Calls

4 calls:

126.0ms	(* (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* im (* im re))))
12.0ms	(* im (* im re))
35.0ms	(* (cbrt 0.5) (* im (* im re)))
9.0ms	(* (cbrt 0.5) (cbrt 0.5))

series216.0ms

Counts

4 → 10

Calls

4 calls:

105.0ms	(* (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 0.5) (* im (* im re))))
33.0ms	(* im (* im re))
78.0ms	(* (cbrt 0.5) (* im (* im re)))
0.0ms	(* (cbrt 0.5) (cbrt 0.5))

simplify1.9s

Counts

126 → 126

Iterations

Iter	Nodes
done	5000
2	1207
1	316
0	121

prune455.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes330.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample6.8s

Algorithm

intervals

Results

2.9s	3028×	body	1280	valid
1.3s	2479×	body	640	valid
1.0s	8608×	body	80	valid
912.0ms	1295×	body	320	valid
114.0ms	593×	body	160	valid