Details

sample109.0ms

Algorithm

intervals

Results

43.0ms	100×	body	1280	valid
23.0ms	84×	body	640	valid
15.0ms	254×	body	80	valid
6.0ms	35×	body	320	valid
3.0ms	25×	body	160	valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5009	12

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize14.0ms

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)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

7.0ms	(+ (exp (- 0.0 im)) (exp im))
11.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series19.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (exp (- 0.0 im)) (exp im))
15.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify26.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5131	485

prune62.0ms

Filtered

29 candidates to 41 candidates (-41.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	2	42

Merged error: 0b

Counts

42 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3))
0.0b	(* (* 0.5 (sin re)) (cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3)))
0.0b	(pow (+ (exp (- 0.0 im)) (exp im)) 3)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod` `*-un-lft-identity`
17×	`associate-r`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`unpow-prod-down` `cube-prod`
10×	`pow1` `add-exp-log`
8×	`add-cbrt-cube`
7×	`distribute-lft-out`
6×	`cube-div` `add-log-exp`
4×	`cbrt-div` `flip3-+` `flip-+`
3×	`cube-mult` `pow-unpow` `unpow3` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`associate-*r/`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `associate-l` `pow-exp` `sum-log` `*-commutative` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 98

Calls

4 calls:

7.0ms	(+ (exp (- 0.0 im)) (exp im))
8.0ms	(cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3))
16.0ms	(* (* 0.5 (sin re)) (cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3)))
8.0ms	(pow (+ (exp (- 0.0 im)) (exp im)) 3)

series30.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (exp (- 0.0 im)) (exp im))
4.0ms	(cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3))
14.0ms	(* (* 0.5 (sin re)) (cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3)))
9.0ms	(pow (+ (exp (- 0.0 im)) (exp im)) 3)

simplify53.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4946	1270
1	4946	1270

prune137.0ms

Filtered

65 candidates to 110 candidates (-69.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	110	2	112

Merged error: 0b

Counts

112 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(* (sin re) (+ (exp (- 0.0 im)) (exp im)))
0.3b	(pow (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im)))) 3)
19.8b	(cbrt (pow (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im)))) 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
10×	`add-sqr-sqrt` `associate-*r/`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`add-log-exp`
4×	`cube-div` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
3×	`pow-unpow` `pow-pow` `associate-l` `pow-exp` `rem-cube-cbrt`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `unpow3` `cube-prod` `distribute-lft-out` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

7.0ms	(+ (exp (- 0.0 im)) (exp im))
10.0ms	(* (sin re) (+ (exp (- 0.0 im)) (exp im)))
12.0ms	(pow (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im)))) 3)
4.0ms	(cbrt (pow (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im)))) 3))

series57.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (exp (- 0.0 im)) (exp im))
12.0ms	(* (sin re) (+ (exp (- 0.0 im)) (exp im)))
28.0ms	(pow (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im)))) 3)
14.0ms	(cbrt (pow (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im)))) 3))

simplify23.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	5056	1238

prune139.0ms

Filtered

65 candidates to 93 candidates (-43.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	93	2	95

Merged error: 0b

Counts

95 → 2

regimes184.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	15
1	27	15

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.3s	3038×	body	1280	valid
793.0ms	2521×	body	640	valid
518.0ms	8664×	body	80	valid
223.0ms	1243×	body	320	valid
81.0ms	637×	body	160	valid

Details

sample109.0ms

simplify70.0ms

prune7.0ms

localize14.0ms

rewrite19.0ms

series19.0ms

simplify26.0ms

prune62.0ms

localize13.0ms

rewrite42.0ms

series30.0ms

simplify53.0ms

prune137.0ms

localize13.0ms

rewrite35.0ms

series57.0ms

simplify23.0ms

prune139.0ms

regimes184.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.5s

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