Details

sample102.0ms

Algorithm

intervals

Results

47.0ms	96×	body	1280	valid
17.0ms	66×	body	640	valid
14.0ms	252×	body	80	valid
7.0ms	41×	body	320	valid
3.0ms	26×	body	160	valid

simplify72.0ms

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

prune3.0ms

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)))

rewrite25.0ms

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:

10.0ms	(+ (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:

21.0ms	(+ (exp (- 0.0 im)) (exp im))
68.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify37.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (33.0ms)

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

prune139.0ms

Filtered

59 candidates to 45 candidates (76.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	3	60

Merged error: 0b

Counts

60 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp im) (exp im))
0.0b	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
0.0b	(pow (exp (- 0.0 im)) 3)
4.9b	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

96×	`*-un-lft-identity`
82×	`add-sqr-sqrt`
70×	`exp-sum`
65×	`exp-prod`
64×	`add-cube-cbrt`
55×	`prod-diff`
19×	`pow1` `swap-sqr`
17×	`associate-r` `associate-l`
14×	`unpow-prod-down` `cube-prod`
13×	`distribute-lft-out--`
12×	`pow-prod-down` `pow-sqr` `pow-prod-up`
9×	`sub-neg` `add-cbrt-cube`
7×	`difference-of-squares`
6×	`pow-pow` `add-log-exp`
5×	`exp-diff`
4×	`add-exp-log` `expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`cube-div` `cube-mult` `frac-times` `pow-to-exp` `flip3--` `distribute-rgt-out--` `fma-neg` `diff-log` `unpow3` `associate-r/` `associate-l/` `pow-exp` `flip--` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 192

Calls

4 calls:

6.0ms	(* (exp im) (exp im))
17.0ms	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
8.0ms	(pow (exp (- 0.0 im)) 3)
6.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series106.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* (exp im) (exp im))
16.0ms	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
26.0ms	(pow (exp (- 0.0 im)) 3)
49.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify111.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	658	1417
1	3301	844
2	5001	809

prune494.0ms

Filtered

204 candidates to 113 candidates (55.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	204	3	207

Merged error: 0b

Counts

207 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
28×	`fma-def`
22×	`add-sqr-sqrt` `add-cube-cbrt` `exp-sum`
18×	`pow1` `add-exp-log` `prod-diff` `add-cbrt-cube`
14×	`sqrt-div` `associate-r`
10×	`associate-*r/`
9×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
8×	`sqrt-prod` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `distribute-lft-out`
2×	`+-commutative` `sub-neg` `associate-l` `associate-l/` `sum-log` `-commutative`

Counts

4 → 117

Calls

4 calls:

10.0ms	(+ (exp (- 0.0 im)) (exp im))
10.0ms	(+ (exp (- 0.0 im)) (exp im))
15.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))
27.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

series202.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (exp (- 0.0 im)) (exp im))
26.0ms	(+ (exp (- 0.0 im)) (exp im))
88.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))
66.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

simplify58.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	423	1155
1	1909	962
2	5001	951

prune357.0ms

Filtered

129 candidates to 93 candidates (72.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	129	3	132

Merged error: 0b

Counts

132 → 3

regimes144.0ms

Accuracy

0% (0.1b 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	25	24
1	25	24

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.3s	3078×	body	1280	valid
637.0ms	2450×	body	640	valid
500.0ms	8624×	body	80	valid
234.0ms	1290×	body	320	valid
78.0ms	643×	body	160	valid