Details

sample1.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 24.21875%

Guaranteed chance to sample good point: 65.979381%

Results

63.0ms	124×	body	1280	valid
24.0ms	79×	body	640	valid
18.0ms	56×	body	1280	invalid
8.0ms	36×	body	640	invalid
6.0ms	29×	body	320	valid
5.0ms	33×	body	320	invalid
4.0ms	8×	body	80	valid
2.0ms	16×	body	160	valid
2.0ms	17×	body	160	invalid
1.0ms	11×	body	80	invalid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	44	7
2	99	7
3	185	7
4	318	7
5	766	7
6	1270	7
7	1742	7
8	4161	7
9	5002	7

prune4.0ms

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: 57.2b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
8.2b	(- (exp (- 0.0 im)) (exp im))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

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

series20.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
5.0ms	(- (exp (- 0.0 im)) (exp im))

simplify41.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	268	399
1	1086	344
2	5001	343

prune78.0ms

Filtered

30 candidates to 46 candidates (-53.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	2	47

Merged error: 0.1b

Counts

47 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `prod-exp`
8×	`unpow-prod-down`
7×	`associate-l` `unswap-sqr`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`pow-prod-down` `*-commutative`
2×	`distribute-rgt-in` `pow-to-exp` `sub-neg` `distribute-lft-in` `associate-*r/` `pow-exp`
1×	`+-commutative` `cube-mult` `flip3--` `flip3-+` `unpow3` `sum-log` `flip--` `flip-+`

Counts

4 → 91

Calls

4 calls:

4.0ms	(+ (* 1/60 (pow im 5)) (* 2 im))
5.0ms	(* 1/60 (pow im 5))
10.0ms	(* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
6.0ms	(* -1/3 (pow im 3))

series55.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (* 1/60 (pow im 5)) (* 2 im))
4.0ms	(* 1/60 (pow im 5))
33.0ms	(* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
6.0ms	(* -1/3 (pow im 3))

simplify71.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	479	664
1	2204	585
2	5003	585

prune195.0ms

Filtered

64 candidates to 103 candidates (-60.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	96	7	103
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	97	8	105

Merged error: 0.0b

Counts

105 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
27×	`add-sqr-sqrt`
25×	`prod-exp`
23×	`associate-r`
22×	`add-cbrt-cube`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `cbrt-unprod`
10×	`associate-l`
8×	`unpow-prod-down` `unswap-sqr`
4×	`pow-to-exp` `cube-prod` `pow-prod-down` `pow-exp` `*-commutative` `add-log-exp` `sqr-pow`
2×	`associate-*l/`
1×	`cube-mult` `flip3-+` `unpow3` `flip-+`

Counts

4 → 100

Calls

4 calls:

5.0ms	(* -1/60 (pow im 5))
7.0ms	(* (* 0.5 (cos re)) (* -1/3 (pow im 3)))
6.0ms	(* (+ (* -2 im) (* -1/60 (pow im 5))) (cos re))
6.0ms	(* -1/3 (pow im 3))

series36.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* -1/60 (pow im 5))
18.0ms	(* (* 0.5 (cos re)) (* -1/3 (pow im 3)))
10.0ms	(* (+ (* -2 im) (* -1/60 (pow im 5))) (cos re))
4.0ms	(* -1/3 (pow im 3))

simplify71.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	445	589
1	2116	504
2	5002	504

prune202.0ms

Filtered

67 candidates to 112 candidates (-67.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	108	4	112
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	111	9	120

Merged error: 0.0b

Counts

120 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (cos re))) (cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (cos re))))
0.6b	(cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (cos re)))
0.6b	(cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (cos re)))
0.6b	(cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (cos re)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

7.0ms	(* (cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (cos re))) (cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (cos re))))
5.0ms	(cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (cos re)))
5.0ms	(cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (cos re)))
5.0ms	(cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (cos re)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (cos re))) (cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (cos re))))
34.0ms	(cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (cos re)))
36.0ms	(cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (cos re)))
33.0ms	(cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (cos re)))

simplify53.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	338	1249
1	1221	1142
2	5001	1068

prune320.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	83	10	93

Merged error: 0.0b

Counts

93 → 10

regimes370.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	13
1	29	13

end0.0ms

sample5.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 24.21875%

Guaranteed chance to sample good point: 65.979381%

Results

2.2s	4198×	body	1280	valid
945.0ms	2368×	body	640	valid
497.0ms	1513×	body	1280	invalid
260.0ms	1186×	body	640	invalid
177.0ms	888×	body	320	valid
101.0ms	638×	body	320	invalid
57.0ms	399×	body	160	valid
35.0ms	296×	body	160	invalid
26.0ms	416×	body	80	invalid
9.0ms	147×	body	80	valid

Details

sample1.4s

simplify90.0ms

prune4.0ms

localize10.0ms

rewrite19.0ms

series20.0ms

simplify41.0ms

prune78.0ms

localize14.0ms

rewrite28.0ms

series55.0ms

simplify71.0ms

prune195.0ms

localize17.0ms

rewrite27.0ms

series36.0ms

simplify71.0ms

prune202.0ms

localize23.0ms

rewrite24.0ms

series147.0ms

simplify53.0ms

prune320.0ms

regimes370.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.9s

Profiling