Details

sample161.0ms

Algorithm

intervals

Results

79.0ms	161×	body	1280	valid
38.0ms	130×	body	640	valid
8.0ms	46×	body	320	valid
8.0ms	128×	body	80	valid
4.0ms	33×	body	160	valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4868	11
1	4868	11

prune6.0ms

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: 43.6b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
5.9b	(- (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×	`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)))
6.0ms	(- (exp (neg im)) (exp im))

series24.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
5.0ms	(- (exp (neg im)) (exp im))

simplify40.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5022	502

prune69.0ms

Filtered

29 candidates to 46 candidates (-58.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	42	4	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	4	47

Merged error: 0.1b

Counts

47 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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)
38.0ms	(* (* 0.5 (sin re)) (+ (* im -2) (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60))))
4.0ms	(* (pow im 3) -1/3)

simplify34.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	6066	1143

prune192.0ms

Filtered

68 candidates to 101 candidates (-48.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	97	4	101
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	97	8	105

Merged error: 0.1b

Counts

105 → 8

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow im 3) 1/3)
0.1b	(* (pow im 3) -1/3)
0.1b	(* -1/3 (pow im 3))
21.7b	(/ (* 0.5 (* (sin re) (+ (* im (* 4 im)) (* (+ (* -1/3 (pow im 3)) (* (pow im 5) -1/60)) (+ (* (pow im 3) 1/3) (* (pow im 5) 1/60)))))) (- (* im -2) (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
28×	`add-exp-log`
27×	`associate-l`
19×	`add-cbrt-cube`
18×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
12×	`unpow-prod-down` `cube-prod` `prod-exp` `unswap-sqr`
6×	`cbrt-unprod` `sqr-pow`
4×	`pow1` `associate-*r/` `add-log-exp`
3×	`cbrt-undiv` `cube-mult` `pow-to-exp` `times-frac` `unpow3` `div-exp` `pow-exp` `associate-/r` `-commutative`
2×	`associate-/r/` `associate-/l/`
1×	`flip3--` `frac-2neg` `flip3-+` `clear-num` `flip--` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 120

Calls

4 calls:

6.0ms	(* (pow im 3) 1/3)
6.0ms	(* (pow im 3) -1/3)
7.0ms	(* -1/3 (pow im 3))
18.0ms	(/ (* 0.5 (* (sin re) (+ (* im (* 4 im)) (* (+ (* -1/3 (pow im 3)) (* (pow im 5) -1/60)) (+ (* (pow im 3) 1/3) (* (pow im 5) 1/60)))))) (- (* im -2) (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60))))

series126.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (pow im 3) 1/3)
4.0ms	(* (pow im 3) -1/3)
6.0ms	(* -1/3 (pow im 3))
111.0ms	(/ (* 0.5 (* (sin re) (+ (* im (* 4 im)) (* (+ (* -1/3 (pow im 3)) (* (pow im 5) -1/60)) (+ (* (pow im 3) 1/3) (* (pow im 5) 1/60)))))) (- (* im -2) (+ (* (pow im 3) -1/3) (* (pow im 5) -1/60))))

simplify66.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4977	2170
1	4977	2170

prune447.0ms

Filtered

86 candidates to 132 candidates (-53.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	129	3	132
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	130	10	140

Merged error: 0.1b

Counts

140 → 10

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow im 3) 1/3)
0.1b	(* (pow im 3) 1/3)
0.1b	(* -1/3 (pow im 3))
19.0b	(* (/ (sin re) (+ (* (pow im 3) 1/3) (+ (* (pow im 5) 1/60) (* im -2)))) (+ (* im (* im 4)) (* (+ (* -1/3 (pow im 3)) (* (pow im 5) -1/60)) (+ (* (pow im 3) 1/3) (* (pow im 5) 1/60)))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
42×	`associate-l`
24×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
21×	`associate-r`
15×	`add-cbrt-cube`
14×	`unswap-sqr`
12×	`unpow-prod-down` `cube-prod`
11×	`prod-exp`
10×	`times-frac`
6×	`pow1` `sqr-pow`
5×	`cbrt-unprod`
4×	`*-commutative` `add-log-exp`
3×	`cube-mult` `pow-to-exp` `flip3-+` `unpow3` `pow-exp` `flip-+`
2×	`frac-times` `associate-*r/` `associate-/r/`
1×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-*l/` `div-inv`

Counts

4 → 133

Calls

4 calls:

6.0ms	(* (pow im 3) 1/3)
6.0ms	(* (pow im 3) 1/3)
6.0ms	(* -1/3 (pow im 3))
18.0ms	(* (/ (sin re) (+ (* (pow im 3) 1/3) (+ (* (pow im 5) 1/60) (* im -2)))) (+ (* im (* im 4)) (* (+ (* -1/3 (pow im 3)) (* (pow im 5) -1/60)) (+ (* (pow im 3) 1/3) (* (pow im 5) 1/60)))))

series115.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (pow im 3) 1/3)
6.0ms	(* (pow im 3) 1/3)
4.0ms	(* -1/3 (pow im 3))
101.0ms	(* (/ (sin re) (+ (* (pow im 3) 1/3) (+ (* (pow im 5) 1/60) (* im -2)))) (+ (* im (* im 4)) (* (+ (* -1/3 (pow im 3)) (* (pow im 5) -1/60)) (+ (* (pow im 3) 1/3) (* (pow im 5) 1/60)))))

simplify70.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4987	2885
1	4987	2885

prune512.0ms

Filtered

99 candidates to 145 candidates (-46.5%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	143	12	155

Merged error: 0.1b

Counts

155 → 12

regimes462.0ms

Accuracy

0% (0.6b remaining)

Error of 0.8b against oracle of 0.2b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	20
1	25	20

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.7s	4760×	body	1280	valid
1.2s	3907×	body	640	valid
391.0ms	1933×	body	320	valid
288.0ms	4568×	body	80	valid
122.0ms	935×	body	160	valid

Details

sample161.0ms

simplify51.0ms

prune6.0ms

localize10.0ms

rewrite17.0ms

series24.0ms

simplify40.0ms

prune69.0ms

localize15.0ms

rewrite29.0ms

series59.0ms

simplify34.0ms

prune192.0ms

localize31.0ms

rewrite40.0ms

series126.0ms

simplify66.0ms

prune447.0ms

localize28.0ms

rewrite40.0ms

series115.0ms

simplify70.0ms

prune512.0ms

regimes462.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.2s

Profiling