Details

sample111.0ms

Algorithm

intervals

Results

52.0ms	114×	body	1280	valid
20.0ms	81×	body	640	valid
15.0ms	280×	body	80	valid
5.0ms	30×	body	320	valid
3.0ms	22×	body	160	valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	64	7
2	126	7
3	212	7
4	323	7
5	864	7
6	1202	7
7	1800	7
8	4421	7
9	5001	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)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

14×	`fma-def` `*-un-lft-identity`
11×	`exp-sum`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`prod-diff`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 53

Calls

2 calls:

11.0ms	(+ (exp (- 0.0 im)) (exp im))
14.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series90.0ms

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)))

simplify38.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	277	376
1	1271	319
2	5001	317

prune148.0ms

Filtered

59 candidates to 45 candidates (76.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	56	3	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	4	60

Merged error: 0b

Counts

60 → 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))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

17×	`associate-r`
13×	`pow1` `add-cbrt-cube`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `exp-sum`
9×	`add-exp-log` `prod-diff`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-l` `*-commutative`
1×	`+-commutative` `sub-neg` `fma-def` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 67

Calls

3 calls:

12.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
12.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
6.0ms	(* (* 0.5 (sin re)) (exp im))

series167.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
41.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
39.0ms	(* (* 0.5 (sin re)) (exp im))

simplify62.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	436	617
1	2003	504
2	5001	499

prune161.0ms

Filtered

76 candidates to 54 candidates (71.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	76	4	80

Merged error: 0b

Counts

80 → 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)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

90×	`*-un-lft-identity`
74×	`add-sqr-sqrt`
70×	`exp-sum`
58×	`add-cube-cbrt`
55×	`prod-diff`
50×	`exp-prod`
17×	`unpow-prod-down` `cube-prod`
16×	`swap-sqr`
14×	`associate-r` `associate-l`
13×	`pow1` `distribute-lft-out--`
10×	`pow-pow`
9×	`sub-neg`
8×	`pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube`
7×	`difference-of-squares`
6×	`pow-unpow` `add-log-exp`
5×	`exp-diff`
4×	`add-exp-log` `expm1-log1p-u` `log1p-expm1-u`
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` `fma-neg` `diff-log` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 184

Calls

4 calls:

3.0ms	(pow (exp im) 3)
19.0ms	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
8.0ms	(pow (exp (- 0.0 im)) 3)
7.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series113.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(pow (exp im) 3)
19.0ms	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
26.0ms	(pow (exp (- 0.0 im)) 3)
44.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify135.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 2 (120.0ms)

Iter	Nodes	Cost
0	658	1375
1	3488	814
2	5001	805

prune475.0ms

Filtered

196 candidates to 109 candidates (55.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	196	4	200

Merged error: 0b

Counts

200 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im)))) (sin re))
0.2b	(/ (* (* (fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im)))) (sin re)) 0.5) (- (exp (- 0.0 im)) (exp im)))
4.0b	(fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im))))
4.1b	(- (exp (- 0.0 im)) (exp im))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

78×	`prod-diff`
58×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
50×	`add-cube-cbrt`
44×	`exp-sum`
15×	`add-exp-log` `add-cbrt-cube`
14×	`fma-neg`
6×	`pow1` `add-log-exp`
5×	`sub-neg` `times-frac` `associate-/r*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`cbrt-undiv` `div-exp` `associate-r` `associate-l` `distribute-lft-out--` `difference-of-squares`
2×	`flip3--` `associate-/r/` `flip--`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `fma-udef` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 133

Calls

4 calls:

4.0ms	(* (fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im)))) (sin re))
16.0ms	(/ (* (* (fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im)))) (sin re)) 0.5) (- (exp (- 0.0 im)) (exp im)))
1.0ms	(fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im))))
13.0ms	(- (exp (- 0.0 im)) (exp im))

series352.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im)))) (sin re))
145.0ms	(/ (* (* (fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im)))) (sin re)) 0.5) (- (exp (- 0.0 im)) (exp im)))
78.0ms	(fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im))))
35.0ms	(- (exp (- 0.0 im)) (exp im))

simplify81.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	616	2366
1	2479	1575
2	5001	1566

prune357.0ms

Filtered

145 candidates to 87 candidates (60.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	145	4	149

Merged error: 0b

Counts

149 → 4

regimes151.0ms

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

sample3.0s

Algorithm

intervals

Results

1.3s	3032×	body	1280	valid
622.0ms	2427×	body	640	valid
491.0ms	8643×	body	80	valid
223.0ms	1268×	body	320	valid
69.0ms	599×	body	160	valid