Details

analyze1.1s

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 12.195185%

Guaranteed chance to sample good point: 71.111111%

sample156.0ms

Algorithm

intervals

Results

71.0ms	123×	body	1280	valid
25.0ms	78×	body	640	valid
16.0ms	44×	body	1280	invalid
10.0ms	41×	body	640	invalid
8.0ms	36×	body	320	valid
5.0ms	84×	body	80	invalid
3.0ms	16×	body	320	invalid
2.0ms	14×	body	160	valid
2.0ms	13×	body	160	invalid
0.0ms	5×	body	80	valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	40	7
2	88	7
3	141	7
4	365	7
5	780	7
6	1025	7
7	2309	7
8	5002	7

prune7.0ms

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: 45.6b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
4.0b	(- (exp (neg im)) (exp im))

rewrite16.0ms

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:

10.0ms	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
5.0ms	(- (exp (neg im)) (exp im))

series20.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
5.0ms	(- (exp (neg im)) (exp im))

simplify34.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	241	393
1	1046	329
2	5001	328

prune70.0ms

Filtered

32 candidates to 46 candidates (-43.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	43	3	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	3	47

Merged error: 0.2b

Counts

47 → 3

localize17.0ms

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	(* -1/3 (pow im 3))
0.2b	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

rewrite29.0ms

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))
6.0ms	(* -1/3 (pow im 3))
12.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

series57.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (* 1/60 (pow im 5)) (* 2 im))
4.0ms	(* 1/60 (pow im 5))
4.0ms	(* -1/3 (pow im 3))
34.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify68.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	464	658
1	2134	579
2	5001	579

prune202.0ms

Filtered

64 candidates to 103 candidates (-60.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	94	9	103
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	95	11	106

Merged error: 0.1b

Counts

106 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* -1/60 (pow im 5))
0.1b	(* (* 0.5 (sin re)) (* -1/3 (pow im 3)))
0.1b	(* -1/3 (pow im 3))
0.2b	(* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re))

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

series34.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* -1/60 (pow im 5))
16.0ms	(* (* 0.5 (sin re)) (* -1/3 (pow im 3)))
4.0ms	(* -1/3 (pow im 3))
11.0ms	(* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re))

simplify65.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	456	591
1	2130	506
2	5002	504

prune210.0ms

Filtered

67 candidates to 112 candidates (-67.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	107	5	112
Fresh	4	6	10
Picked	0	1	1
Done	0	0	0
Total	111	12	123

Merged error: 0.0b

Counts

123 → 12

localize22.0ms

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))

rewrite12.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

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

series79.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
18.0ms	(cbrt (sin re))
18.0ms	(cbrt (sin re))
20.0ms	(cbrt (sin re))

simplify119.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	161	512
1	596	460
2	3671	410
3	5002	404

prune141.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	79	6	85
Fresh	4	6	10
Picked	1	0	1
Done	0	1	1
Total	84	13	97

Merged error: 0.0b

Counts

97 → 13

regimes412.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b 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

analyze1.1s

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 12.195185%

Guaranteed chance to sample good point: 71.111111%

sample4.6s

Algorithm

intervals

Results

1.9s	3325×	body	1280	valid
849.0ms	2497×	body	640	valid
508.0ms	1425×	body	1280	invalid
296.0ms	1225×	body	640	invalid
279.0ms	1274×	body	320	valid
145.0ms	2355×	body	80	invalid
106.0ms	591×	body	320	invalid
85.0ms	615×	body	160	valid
38.0ms	313×	body	160	invalid
19.0ms	289×	body	80	valid

Details

analyze1.1s

sample156.0ms

simplify69.0ms

prune7.0ms

localize10.0ms

rewrite16.0ms

series20.0ms

simplify34.0ms

prune70.0ms

localize17.0ms

rewrite29.0ms

series57.0ms

simplify68.0ms

prune202.0ms

localize19.0ms

rewrite27.0ms

series34.0ms

simplify65.0ms

prune210.0ms

localize22.0ms

rewrite12.0ms

series79.0ms

simplify119.0ms

prune141.0ms

regimes412.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.1s

sample4.6s

Profiling