Details

sample145.0ms

Algorithm

intervals

Results

76.0ms	154×	body	1280	valid
34.0ms	120×	body	640	valid
9.0ms	47×	body	320	valid
8.0ms	134×	body	80	valid
3.0ms	26×	body	160	valid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	7
1	40	7
2	92	7
3	163	7
4	405	7
5	865	7
6	1189	7
7	2771	7
8	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: 46.5b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
5.8b	(- (exp (- im)) (exp im))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

27×	`prod-diff`
26×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-log-exp`
3×	`sub-neg` `fma-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 74

Calls

2 calls:

11.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
6.0ms	(- (exp (- im)) (exp im))

series123.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
37.0ms	(- (exp (- im)) (exp im))

simplify48.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	371	1102
1	1544	774
2	5001	722

prune154.0ms

Filtered

80 candidates to 43 candidates (53.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	4	81

Merged error: 0.1b

Counts

81 → 4

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
0.1b	(* 1/3 (pow im 3))
0.1b	(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

54×	`prod-diff`
47×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
36×	`add-cube-cbrt`
20×	`distribute-rgt-in` `distribute-lft-in`
17×	`associate-r`
13×	`add-exp-log`
10×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `add-cbrt-cube`
8×	`pow1`
7×	`add-log-exp`
6×	`fma-neg` `prod-exp`
4×	`unpow-prod-down` `cube-prod` `associate-l` `cbrt-unprod` `unswap-sqr`
3×	`expm1-log1p-u` `sub-neg` `pow-prod-down` `log1p-expm1-u`
2×	`flip3--` `diff-log` `associate-r/` `-commutative` `flip--` `distribute-lft-out--` `difference-of-squares` `sqr-pow`
1×	`associate--l-` `neg-sub0` `cube-mult` `pow-to-exp` `unpow3` `neg-log` `pow-exp` `fma-udef` `associate--r+`

Counts

3 → 140

Calls

3 calls:

6.0ms	(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
6.0ms	(* 1/3 (pow im 3))
11.0ms	(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))

series297.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
45.0ms	(* 1/3 (pow im 3))
189.0ms	(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))

simplify92.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	583	2592
1	2548	1630
2	5001	1618

prune309.0ms

Filtered

149 candidates to 69 candidates (46.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	140	9	149
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	141	12	153

Merged error: 0.0b

Counts

153 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sin re) (pow im 5))
0.1b	(* 0.16666666666666666 (* (sin re) (pow im 3)))
0.1b	(* (sin re) (pow im 3))
0.1b	(* (sin re) im)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`add-exp-log`
23×	`associate-r`
15×	`add-cbrt-cube`
14×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp`
12×	`associate-l`
8×	`pow1` `unpow-prod-down` `unswap-sqr`
6×	`cbrt-unprod`
4×	`expm1-log1p-u` `cube-prod` `*-commutative` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-to-exp` `pow-exp`
2×	`pow-prod-down`
1×	`cube-mult` `unpow3`

Counts

4 → 101

Calls

4 calls:

6.0ms	(* (sin re) (pow im 5))
6.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
6.0ms	(* (sin re) (pow im 3))
4.0ms	(* (sin re) im)

series351.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(* (sin re) (pow im 5))
98.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
86.0ms	(* (sin re) (pow im 3))
34.0ms	(* (sin re) im)

simplify49.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	346	536
1	1461	466
2	5001	466

prune320.0ms

Filtered

113 candidates to 74 candidates (65.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	4	7	11
Picked	0	1	1
Done	0	0	0
Total	114	11	125

Merged error: 0.0b

Counts

125 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin re)) (cbrt (sin re)))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
2.0ms	(cbrt (sin re))
1.0ms	(cbrt (sin re))
2.0ms	(cbrt (sin re))

series436.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
108.0ms	(cbrt (sin re))
104.0ms	(cbrt (sin re))
106.0ms	(cbrt (sin re))

simplify93.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	159	483
1	568	431
2	3135	398
3	5001	392

prune321.0ms

Filtered

93 candidates to 68 candidates (73.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	92	12	104

Merged error: 0.0b

Counts

104 → 12

regimes358.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	13
1	35	13
2	35	13

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.4s	4805×	body	1280	valid
1.2s	3797×	body	640	valid
356.0ms	1870×	body	320	valid
269.0ms	4678×	body	80	valid
116.0ms	933×	body	160	valid