Details

analyze350.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
12.5%	87.4%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
62.4%	31.2%	6.3%	7
62.4%	31.2%	6.3%	8
62.4%	28.1%	9.5%	9
62.4%	28.1%	9.5%	10
62.4%	26.5%	11%	11
62.4%	26.5%	11%	12
62.4%	25.8%	11.8%	13
62.4%	25.8%	11.8%	14

sample151.0ms

Algorithm

intervals

Results

62.0ms	104×	body	1280	valid
26.0ms	84×	body	640	valid
17.0ms	50×	body	1280	invalid
10.0ms	42×	body	640	invalid
9.0ms	43×	body	320	valid
5.0ms	28×	body	320	invalid
5.0ms	75×	body	80	invalid
2.0ms	17×	body	160	valid
1.0ms	5×	body	160	invalid
1.0ms	8×	body	80	valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4868	11
1	4868	11

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	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)))
5.5b	(- (exp (neg im)) (exp im))

rewrite17.0ms

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×	`flip3--` `associate-*r/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate-l` `*-commutative`

Counts

2 → 37

Calls

2 calls:

10.0ms	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
6.0ms	(- (exp (neg im)) (exp im))

series26.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
5.0ms	(- (exp (neg im)) (exp im))

simplify42.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5022	469

prune78.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	5	44

Merged error: 0.1b

Counts

44 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

5.0ms	(+ (* (pow im 3) -1/3) (* (pow im 5) -1/60))
5.0ms	(* (pow im 5) -1/60)
11.0ms	(* (* 0.5 (sin re)) (+ (* im -2) (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60))))
6.0ms	(* (pow im 3) -1/3)

series59.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (* (pow im 3) -1/3) (* (pow im 5) -1/60))
5.0ms	(* (pow im 5) -1/60)
35.0ms	(* (* 0.5 (sin re)) (+ (* im -2) (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60))))
7.0ms	(* (pow im 3) -1/3)

simplify37.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	6066	1143

prune211.0ms

Filtered

68 candidates to 101 candidates (-48.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	97	4	101
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	97	9	106

Merged error: 0.0b

Counts

106 → 9

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))) (cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))))
0.6b	(cbrt (+ (* im -2) (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60))))
0.6b	(cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))
0.6b	(cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

22.0ms	(* (cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))) (cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))))
7.0ms	(cbrt (+ (* im -2) (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60))))
8.0ms	(cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))
8.0ms	(cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))

series90.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))) (cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))))
20.0ms	(cbrt (+ (* im -2) (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60))))
21.0ms	(cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))
21.0ms	(cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))

simplify59.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5060	2886

prune588.0ms

Filtered

81 candidates to 99 candidates (-22.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	96	12	108

Merged error: 0.0b

Counts

108 → 12

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))
0.6b	(cbrt (cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))))
0.6b	(cbrt (cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))))
0.6b	(cbrt (cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
14×	`cbrt-div`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

7.0ms	(cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))
9.0ms	(cbrt (cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))))
9.0ms	(cbrt (cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))))
9.0ms	(cbrt (cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))))

series107.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2))))
28.0ms	(cbrt (cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))))
30.0ms	(cbrt (cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))))
28.0ms	(cbrt (cbrt (+ (* -1/3 (pow im 3)) (+ (* (pow im 5) -1/60) (* im -2)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5001	2141

prune852.0ms

Filtered

69 candidates to 73 candidates (-5.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	73	12	85

Merged error: 0.0b

Counts

85 → 12

regimes545.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	20
1	25	20

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.9s	3253×	body	1280	valid
844.0ms	2627×	body	640	valid
727.0ms	1498×	body	1280	invalid
295.0ms	1242×	body	640	invalid
252.0ms	1240×	body	320	valid
151.0ms	2328×	body	80	invalid
110.0ms	639×	body	320	invalid
83.0ms	645×	body	160	valid
33.0ms	282×	body	160	invalid
15.0ms	235×	body	80	valid

Details

analyze350.0ms

sample151.0ms

simplify52.0ms

prune7.0ms

localize10.0ms

rewrite17.0ms

series26.0ms

simplify42.0ms

prune78.0ms

localize15.0ms

rewrite30.0ms

series59.0ms

simplify37.0ms

prune211.0ms

localize26.0ms

rewrite46.0ms

series90.0ms

simplify59.0ms

prune588.0ms

localize30.0ms

rewrite35.0ms

series107.0ms

simplify54.0ms

prune852.0ms

regimes545.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.7s

Profiling