Details

analyze27.0ms

Algorithm

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
12.5%	12.5%	75%	2
12.5%	12.5%	75%	3
18.7%	6.2%	75%	4
21.8%	3.1%	75%	5
23.4%	1.6%	75%	6
23.4%	1.6%	75%	7
24.2%	0.8%	75%	8
24.2%	0.8%	75%	9
24.6%	0.4%	75%	10
24.6%	0.4%	75%	11
24.8%	0.2%	75%	12
24.8%	0.2%	75%	13
24.9%	0.1%	75%	14

sample263.0ms

Algorithm

intervals

Results

220.0ms	60×	body	1280	valid
12.0ms	36×	body	640	valid
10.0ms	142×	body	80	valid
5.0ms	256×	pre	80	true
3.0ms	12×	body	320	valid
1.0ms	6×	body	160	valid

simplify554.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	5166	9

prune14.0ms

Filtered

1 candidates to 1 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 → 2

localize13.0ms

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))

rewrite20.0ms

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))

series44.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
8.0ms	(* e (sin v))
15.0ms	(* e (cos v))

simplify62.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4961	599
1	4961	599

prune107.0ms

Filtered

48 candidates to 68 candidates (-41.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	63	5	68
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp e) (cos v))
0.0b	(/ (* e (sin v)) (+ 1.0 (log (pow (exp e) (cos v)))))
0.1b	(* e (sin v))
5.4b	(log (pow (exp e) (cos v)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

6.0ms	(pow (exp e) (cos v))
6.0ms	(/ (* e (sin v)) (+ 1.0 (log (pow (exp e) (cos v)))))
4.0ms	(* e (sin v))
3.0ms	(log (pow (exp e) (cos v)))

series76.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(pow (exp e) (cos v))
37.0ms	(/ (* e (sin v)) (+ 1.0 (log (pow (exp e) (cos v)))))
7.0ms	(* e (sin v))
18.0ms	(log (pow (exp e) (cos v)))

simplify52.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4942	784
1	4942	784

prune111.0ms

Filtered

59 candidates to 93 candidates (-57.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	93	6	99

Merged error: 0.0b

Counts

99 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (cos v) (/ 1.0 e))
0.2b	(/ (sin v) (+ (cos v) (/ 1.0 e)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 45

Calls

2 calls:

8.0ms	(+ (cos v) (/ 1.0 e))
8.0ms	(/ (sin v) (+ (cos v) (/ 1.0 e)))

series20.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (cos v) (/ 1.0 e))
14.0ms	(/ (sin v) (+ (cos v) (/ 1.0 e)))

simplify59.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4957	669
1	4957	669

prune88.0ms

Filtered

37 candidates to 51 candidates (-37.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	50	7	57

Merged error: 0.0b

Counts

57 → 7

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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:

4.0ms	(* e (cos v))
6.0ms	(/ (+ (* e (cos v)) 1.0) (sin v))
8.0ms	(/ e (/ (+ (* e (cos v)) 1.0) (sin v)))

series41.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* e (cos v))
15.0ms	(/ (+ (* e (cos v)) 1.0) (sin v))
20.0ms	(/ e (/ (+ (* e (cos v)) 1.0) (sin v)))

simplify46.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5074	2019

prune162.0ms

Filtered

102 candidates to 126 candidates (-23.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	126	7	133

Merged error: 0.0b

Counts

133 → 7

regimes116.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	41	13
1	41	13

end0.0ms

sample1.9s

Algorithm

intervals

Results

741.0ms	1548×	body	1280	valid
361.0ms	1201×	body	640	valid
311.0ms	4320×	body	80	valid
149.0ms	8000×	pre	80	true
135.0ms	629×	body	320	valid
50.0ms	302×	body	160	valid

Details

analyze27.0ms

sample263.0ms

simplify554.0ms

prune14.0ms

localize13.0ms

rewrite20.0ms

series44.0ms

simplify62.0ms

prune107.0ms

localize14.0ms

rewrite21.0ms

series76.0ms

simplify52.0ms

prune111.0ms

localize9.0ms

rewrite17.0ms

series20.0ms

simplify59.0ms

prune88.0ms

localize13.0ms

rewrite22.0ms

series41.0ms

simplify46.0ms

prune162.0ms

regimes116.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.9s

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