Details

sample246.0ms

Algorithm

intervals

Results

87.0ms	103×	body	1280	valid
80.0ms	72×	body	640	valid
32.0ms	258×	body	80	valid
12.0ms	34×	body	320	valid
4.0ms	17×	body	160	valid

simplify4.4s

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: 0.0b

localize37.0ms

Local error

Found 2 expressions with local error:

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

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

35.0ms	(+ (exp (- 0.0 im)) (exp im))
150.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series127.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (exp (- 0.0 im)) (exp im))
95.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify1.6s

Counts

41 → 41

Iterations

Iter	Nodes
done	5001
2	1070
1	279
0	93

prune282.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
0.0b	(/ (sin re) (exp im))
0.0b	(* (sin re) (exp im))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`div-inv`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

21.0ms	(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
8.0ms	(/ (sin re) (exp im))
11.0ms	(* (sin re) (exp im))

series193.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
43.0ms	(/ (sin re) (exp im))
56.0ms	(* (sin re) (exp im))

simplify1.7s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
3	2494
2	722
1	245
0	102

prune368.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp im))
0.0b	(/ (sin re) (sqrt (exp im)))
0.0b	(/ (/ (sin re) (sqrt (exp im))) (sqrt (exp im)))
0.0b	(* (sin re) (exp im))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
163×	`add-sqr-sqrt`
160×	`*-un-lft-identity` `add-cube-cbrt`
147×	`sqrt-prod`
25×	`associate-/l*`
13×	`add-cbrt-cube`
12×	`associate-/r*` `add-exp-log`
9×	`div-inv`
7×	`pow1`
4×	`cbrt-undiv` `sqrt-pow1` `div-exp` `add-log-exp`
3×	`exp-prod` `associate-r` `associate-l`
2×	`clear-num` `frac-2neg`
1×	`rem-sqrt-square` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `associate-/l/`

Counts

4 → 248

Calls

4 calls:

4.0ms	(sqrt (exp im))
23.0ms	(/ (sin re) (sqrt (exp im)))
39.0ms	(/ (/ (sin re) (sqrt (exp im))) (sqrt (exp im)))
22.0ms	(* (sin re) (exp im))

series171.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (exp im))
82.0ms	(/ (sin re) (sqrt (exp im)))
44.0ms	(/ (/ (sin re) (sqrt (exp im))) (sqrt (exp im)))
31.0ms	(* (sin re) (exp im))

simplify1.6s

Counts

260 → 260

Iterations

Iter	Nodes
done	5000
2	1656
1	652
0	291

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize100.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp im))
0.0b	(/ 1 (* (* (fabs (cbrt (exp im))) (cbrt (sqrt (exp im)))) (cbrt (sqrt (exp im)))))
0.0b	(* (* (fabs (cbrt (exp im))) (cbrt (sqrt (exp im)))) (cbrt (sqrt (exp im))))
0.0b	(* (sin re) (exp im))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
17×	`pow1`
14×	`add-sqr-sqrt` `add-cbrt-cube`
13×	`prod-exp`
12×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
9×	`cbrt-prod`
7×	`pow-prod-down` `cbrt-unprod`
6×	`div-exp`
4×	`associate-l` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `times-frac` `1-exp` `sqrt-prod` `pow-flip` `associate-/l*`
2×	`*-commutative`
1×	`clear-num` `associate-/r*` `frac-2neg` `pow1/3` `div-inv` `inv-pow` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

2.0ms	(cbrt (exp im))
56.0ms	(/ 1 (* (* (fabs (cbrt (exp im))) (cbrt (sqrt (exp im)))) (cbrt (sqrt (exp im)))))
32.0ms	(* (* (fabs (cbrt (exp im))) (cbrt (sqrt (exp im)))) (cbrt (sqrt (exp im))))
13.0ms	(* (sin re) (exp im))

series503.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(cbrt (exp im))
175.0ms	(/ 1 (* (* (fabs (cbrt (exp im))) (cbrt (sqrt (exp im)))) (cbrt (sqrt (exp im)))))
145.0ms	(* (* (fabs (cbrt (exp im))) (cbrt (sqrt (exp im)))) (cbrt (sqrt (exp im))))
40.0ms	(* (sin re) (exp im))

simplify2.9s

Counts

98 → 98

Iterations

Iter	Nodes
done	5042
3	3421
2	974
1	381
0	153

prune711.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes161.0ms

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	12
1	12
0	9

end0.0ms

sample7.0s

Algorithm

intervals

Results

3.2s	3016×	body	1280	valid
1.5s	8499×	body	80	valid
1.2s	2477×	body	640	valid
470.0ms	1281×	body	320	valid
150.0ms	642×	body	160	valid