Details

sample273.0ms

Algorithm

intervals

Results

28.0ms	59×	body	1280	valid
12.0ms	37×	body	640	valid
8.0ms	129×	body	80	valid
5.0ms	256×	pre	80	true
4.0ms	21×	body	320	valid
1.0ms	10×	body	160	valid

simplify438.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	11
1	22	11

prune12.0ms

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

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

5.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
8.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
7.0ms	(* e (cos v))

series49.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
21.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
15.0ms	(* e (cos v))

simplify49.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5110	1103

prune134.0ms

Filtered

70 candidates to 90 candidates (-28.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	82	8	90
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp e) (cos v))
0.0b	(/ (sin v) (+ 1.0 (log (pow (exp e) (cos v)))))
0.1b	(* e (/ (sin v) (+ 1.0 (log (pow (exp e) (cos v))))))
7.3b	(log (pow (exp e) (cos v)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

4.0ms	(pow (exp e) (cos v))
5.0ms	(/ (sin v) (+ 1.0 (log (pow (exp e) (cos v)))))
9.0ms	(* e (/ (sin v) (+ 1.0 (log (pow (exp e) (cos v))))))
3.0ms	(log (pow (exp e) (cos v)))

series91.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(pow (exp e) (cos v))
23.0ms	(/ (sin v) (+ 1.0 (log (pow (exp e) (cos v)))))
38.0ms	(* e (/ (sin v) (+ 1.0 (log (pow (exp e) (cos v))))))
17.0ms	(log (pow (exp e) (cos v)))

simplify54.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4981	1338
1	4981	1338

prune129.0ms

Filtered

80 candidates to 120 candidates (-50.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	120	8	128

Merged error: 0.0b

Counts

128 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (/ 1 (/ (+ (* e (cos v)) 1.0) (sin v))))
0.1b	(* e (cos v))
0.1b	(/ (+ (* e (cos v)) 1.0) (sin v))
0.3b	(/ 1 (/ (+ (* e (cos v)) 1.0) (sin v)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
108×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
47×	`associate-r`
38×	`add-exp-log`
22×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
9×	`pow1`
8×	`prod-exp`
7×	`cbrt-undiv`
6×	`associate-l` `associate-/l*` `unswap-sqr`
4×	`rec-exp` `1-exp` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r/` `*-commutative` `associate-/l/`
1×	`pow-flip` `flip3-+` `associate-*r/` `un-div-inv` `flip-+` `inv-pow`

Counts

4 → 196

Calls

4 calls:

17.0ms	(* e (/ 1 (/ (+ (* e (cos v)) 1.0) (sin v))))
4.0ms	(* e (cos v))
6.0ms	(/ (+ (* e (cos v)) 1.0) (sin v))
9.0ms	(/ 1 (/ (+ (* e (cos v)) 1.0) (sin v)))

series59.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* e (/ 1 (/ (+ (* e (cos v)) 1.0) (sin v))))
6.0ms	(* e (cos v))
18.0ms	(/ (+ (* e (cos v)) 1.0) (sin v))
16.0ms	(/ 1 (/ (+ (* e (cos v)) 1.0) (sin v)))

simplify57.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4978	3011
1	4978	3011

prune230.0ms

Filtered

139 candidates to 208 candidates (-49.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	209	7	216

Merged error: 0.0b

Counts

216 → 7

localize10.0ms

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)))

rewrite25.0ms

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))
10.0ms	(/ e (/ (+ (* e (cos v)) 1.0) (sin v)))

series40.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* e (cos v))
15.0ms	(/ (+ (* e (cos v)) 1.0) (sin v))
19.0ms	(/ e (/ (+ (* e (cos v)) 1.0) (sin v)))

simplify72.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4956	2019
1	4956	2019

prune132.0ms

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

regimes106.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms

sample1.9s

Algorithm

intervals

Results

717.0ms	1543×	body	1280	valid
350.0ms	1213×	body	640	valid
296.0ms	4294×	body	80	valid
134.0ms	8000×	pre	80	true
131.0ms	643×	body	320	valid
42.0ms	307×	body	160	valid

Details

sample273.0ms

simplify438.0ms

prune12.0ms

localize21.0ms

rewrite23.0ms

series49.0ms

simplify49.0ms

prune134.0ms

localize13.0ms

rewrite25.0ms

series91.0ms

simplify54.0ms

prune129.0ms

localize11.0ms

rewrite44.0ms

series59.0ms

simplify57.0ms

prune230.0ms

localize10.0ms

rewrite25.0ms

series40.0ms

simplify72.0ms

prune132.0ms

regimes106.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.9s

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