Details

sample310.0ms

Algorithm

intervals

Results

21.0ms	44×	body	1280	valid
12.0ms	41×	body	640	valid
8.0ms	135×	body	80	valid
5.0ms	256×	pre	80	true
5.0ms	26×	body	320	valid
1.0ms	10×	body	160	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	6
1	18	6
2	21	6
3	22	6
4	22	6

prune4.0ms

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: 0.1b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
0.1b	(* e (sin v))
0.1b	(* e (cos v))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`associate-r` `associate-l`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

3 → 59

Calls

3 calls:

6.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
4.0ms	(* e (sin v))
6.0ms	(* e (cos v))

series194.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
40.0ms	(* e (sin v))
62.0ms	(* e (cos v))

simplify44.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	295	396
1	1372	344
2	5001	344

prune156.0ms

Filtered

68 candidates to 48 candidates (70.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	6	69

Merged error: 0.0b

Counts

69 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* e (cos v))
0.1b	(* e (cos v))
0.2b	(pow (* e (cos v)) 3)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-unpow` `*-commutative` `unswap-sqr`
2×	`pow-pow` `pow-exp` `rem-cube-cbrt`
1×	`cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `sqr-pow`

Counts

4 → 76

Calls

4 calls:

4.0ms	(* e (cos v))
4.0ms	(* e (cos v))
4.0ms	(* e (cos v))
4.0ms	(pow (* e (cos v)) 3)

series183.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* e (cos v))
41.0ms	(* e (cos v))
36.0ms	(* e (cos v))
69.0ms	(pow (* e (cos v)) 3)

simplify261.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	123	274
1	611	265
2	4912	264
3	5001	264

prune238.0ms

Filtered

88 candidates to 57 candidates (64.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	88	6	94

Merged error: 0.0b

Counts

94 → 6

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (+ 1.0 (* e (cos v))) (sin v))
0.1b	(* e (cos v))
0.2b	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
12×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `associate-l` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 117

Calls

3 calls:

5.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
4.0ms	(* e (cos v))
7.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series197.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
36.0ms	(* e (cos v))
89.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify66.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	518	1298
1	2327	1224
2	5001	1224

prune299.0ms

Filtered

126 candidates to 101 candidates (80.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	123	3	126
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	124	8	132

Merged error: 0.0b

Counts

132 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.3b	(* (sqrt e) (* (sin v) (pow e 1/2)))
0.3b	(* (sin v) (pow e 1/2))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log`
22×	`add-cbrt-cube`
20×	`add-sqr-sqrt`
18×	`prod-exp`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-l`
11×	`associate-r`
8×	`pow1` `cbrt-unprod`
5×	`div-exp`
4×	`unpow-prod-down` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `pow-to-exp` `times-frac` `pow-exp` `associate-/r` `sqrt-prod` `-commutative`
2×	`pow-prod-down` `associate-/r/` `sqr-pow`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 92

Calls

4 calls:

10.0ms	(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
4.0ms	(* e (cos v))
7.0ms	(* (sqrt e) (* (sin v) (pow e 1/2)))
6.0ms	(* (sin v) (pow e 1/2))

series246.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
36.0ms	(* e (cos v))
50.0ms	(* (sqrt e) (* (sin v) (pow e 1/2)))
58.0ms	(* (sin v) (pow e 1/2))

simplify96.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	573	823
1	2886	661
2	5001	647

prune234.0ms

Filtered

104 candidates to 73 candidates (70.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	104	8	112

Merged error: 0.0b

Counts

112 → 8

regimes70.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	20
1	24	20

end0.0ms

sample1.8s

Algorithm

intervals

Results

689.0ms	1509×	body	1280	valid
348.0ms	1213×	body	640	valid
272.0ms	4340×	body	80	valid
146.0ms	8000×	pre	80	true
124.0ms	621×	body	320	valid
43.0ms	317×	body	160	valid