Details

sample114.0ms

Algorithm

intervals

Results

53.0ms	114×	body	1280	valid
21.0ms	81×	body	640	valid
16.0ms	280×	body	80	valid
5.0ms	30×	body	320	valid
3.0ms	22×	body	160	valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	62	7
2	108	7
3	177	7
4	279	7
5	770	7
6	1075	7
7	1662	7
8	4217	7
9	5002	7

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

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)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
69.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify37.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	268	349
1	1226	295
2	5002	294

prune89.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	4	42

Merged error: 0b

Counts

42 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube`
9×	`add-exp-log`
8×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-l` `exp-sum` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 51

Calls

3 calls:

10.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
10.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
6.0ms	(* (* 0.5 (sin re)) (exp im))

series170.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
42.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
39.0ms	(* (* 0.5 (sin re)) (exp im))

simplify52.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	328	481
1	1554	400
2	5002	395

prune115.0ms

Filtered

60 candidates to 41 candidates (68.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	60	4	64

Merged error: 0b

Counts

64 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp im) 3)
0.0b	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
0.0b	(pow (exp (- 0.0 im)) 3)
4.0b	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
50×	`exp-prod`
38×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
16×	`exp-sum`
13×	`pow1` `distribute-lft-out--`
10×	`pow-pow`
9×	`sub-neg`
8×	`unpow-prod-down` `cube-prod` `pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube`
7×	`swap-sqr` `difference-of-squares`
6×	`pow-unpow` `add-log-exp`
5×	`exp-diff` `associate-r` `associate-l`
4×	`add-exp-log`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`cube-div` `pow2` `frac-times` `flip3--` `distribute-rgt-out--` `pow-plus` `diff-log` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 129

Calls

4 calls:

3.0ms	(pow (exp im) 3)
15.0ms	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
6.0ms	(pow (exp (- 0.0 im)) 3)
6.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series112.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(pow (exp im) 3)
15.0ms	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
29.0ms	(pow (exp (- 0.0 im)) 3)
45.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify99.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	426	610
1	2417	535
2	5001	508

prune332.0ms

Filtered

141 candidates to 78 candidates (55.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	141	4	145

Merged error: 0b

Counts

145 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im)))) (* 0.5 (sin re)))
0.2b	(/ (* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im)))) (* 0.5 (sin re))) (- (exp (- 0.0 im)) (exp im)))
4.1b	(- (exp (- 0.0 im)) (exp im))
4.2b	(+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt`
10×	`add-log-exp`
9×	`pow1`
7×	`add-cube-cbrt`
6×	`prod-exp` `cbrt-unprod`
5×	`times-frac` `associate-l` `associate-/r*`
4×	`associate-*l/` `distribute-lft-out`
3×	`cbrt-undiv` `flip3-+` `div-exp` `pow-prod-down` `flip-+` `distribute-lft-out--` `difference-of-squares`
2×	`flip3--` `distribute-rgt-neg-in` `sum-log` `associate-/r/` `flip--` `associate-/l/`
1×	`+-commutative` `neg-sub0` `associate-+r-` `sub-neg` `frac-2neg` `diff-log` `associate-r` `unsub-neg` `neg-log` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

4 → 84

Calls

4 calls:

23.0ms	(* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im)))) (* 0.5 (sin re)))
32.0ms	(/ (* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im)))) (* 0.5 (sin re))) (- (exp (- 0.0 im)) (exp im)))
7.0ms	(- (exp (- 0.0 im)) (exp im))
21.0ms	(+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im))))

series318.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im)))) (* 0.5 (sin re)))
137.0ms	(/ (* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im)))) (* 0.5 (sin re))) (- (exp (- 0.0 im)) (exp im)))
35.0ms	(- (exp (- 0.0 im)) (exp im))
51.0ms	(+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im))))

simplify62.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	500	1373
1	2288	1100
2	5003	1084

prune291.0ms

Filtered

96 candidates to 70 candidates (72.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	96	4	100

Merged error: 0b

Counts

100 → 4

regimes159.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	10
1	16	10

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.3s	3032×	body	1280	valid
658.0ms	2427×	body	640	valid
526.0ms	8643×	body	80	valid
231.0ms	1268×	body	320	valid
77.0ms	599×	body	160	valid