Details

sample226.0ms

Algorithm

intervals

Results

13.0ms	428×	body	80	valid
9.0ms	428×	pre	80	true

simplify573.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4718	11
1	4718	11

prune11.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt`
8×	`pow1` `associate-r` `associate-l`
6×	`add-log-exp`
4×	`flip3--` `associate-*r/` `flip--`
3×	`sub-neg` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 85

Calls

4 calls:

26.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
6.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
13.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series31.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
5.0ms	(* m (- 1.0 m))
5.0ms	(/ (* m (- 1.0 m)) v)
15.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify46.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	6140	938

prune136.0ms

Filtered

67 candidates to 97 candidates (-44.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	88	9	97
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	89	10	99

Merged error: 0.0b

Counts

99 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- (pow 1.0 3) (pow m 3)))
0.0b	(/ (* m (- (pow 1.0 3) (pow m 3))) (* v (+ (* m m) (* 1.0 (+ m 1.0)))))
0.1b	(* v (+ (* m m) (* 1.0 (+ m 1.0))))
0.2b	(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* v (+ (* m m) (* 1.0 (+ m 1.0))))) 1.0) m)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
31×	`associate-r`
22×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
17×	`difference-of-squares`
12×	`unpow-prod-down` `cube-prod`
11×	`associate-l`
10×	`pow1` `add-cube-cbrt`
8×	`associate-*r/` `sqr-pow`
7×	`prod-exp` `cbrt-unprod`
6×	`distribute-lft-out--`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `pow-prod-down` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg` `flip3-+` `associate-*l/` `associate-/r/` `flip-+` `associate-/l/`
1×	`difference-cubes` `frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 115

Calls

4 calls:

20.0ms	(* m (- (pow 1.0 3) (pow m 3)))
19.0ms	(/ (* m (- (pow 1.0 3) (pow m 3))) (* v (+ (* m m) (* 1.0 (+ m 1.0)))))
6.0ms	(* v (+ (* m m) (* 1.0 (+ m 1.0))))
23.0ms	(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* v (+ (* m m) (* 1.0 (+ m 1.0))))) 1.0) m)

series47.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* m (- (pow 1.0 3) (pow m 3)))
13.0ms	(/ (* m (- (pow 1.0 3) (pow m 3))) (* v (+ (* m m) (* 1.0 (+ m 1.0)))))
9.0ms	(* v (+ (* m m) (* 1.0 (+ m 1.0))))
16.0ms	(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* v (+ (* m m) (* 1.0 (+ m 1.0))))) 1.0) m)

simplify42.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4978	2018
1	4978	2018

prune234.0ms

Filtered

85 candidates to 127 candidates (-49.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	124	3	127
Fresh	4	4	8
Picked	0	1	1
Done	1	0	1
Total	129	8	137

Merged error: 0.0b

Counts

137 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* m (/ m v)) (- 1.0 m)) (* m 1.0))
0.0b	(* (* m (/ m v)) (- 1.0 m))
0.1b	(* m (/ m v))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`associate-r`
17×	`add-exp-log` `add-cbrt-cube`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`pow1` `times-frac`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-*r/`
5×	`sub-neg` `add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `pow-prod-down` `associate--l+`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `frac-times` `div-exp` `*-commutative` `unswap-sqr`
1×	`diff-log` `associate-*l/` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 79

Calls

3 calls:

10.0ms	(- (* (* m (/ m v)) (- 1.0 m)) (* m 1.0))
9.0ms	(* (* m (/ m v)) (- 1.0 m))
7.0ms	(* m (/ m v))

series17.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(- (* (* m (/ m v)) (- 1.0 m)) (* m 1.0))
6.0ms	(* (* m (/ m v)) (- 1.0 m))
3.0ms	(* m (/ m v))

simplify41.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4964	853
1	4964	853

prune96.0ms

Filtered

55 candidates to 88 candidates (-60.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	90	6	96

Merged error: 0.0b

Counts

96 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* m (/ m v))
0.4b	(* (sqrt (* m (/ m v))) (sqrt (* m (/ m v))))
11.5b	(sqrt (* m (/ m v)))
11.5b	(sqrt (* m (/ m v)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`add-sqr-sqrt` `pow-prod-down`
17×	`associate-r`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1/2`
11×	`add-exp-log` `add-cbrt-cube`
10×	`times-frac` `pow-prod-up`
8×	`associate-*r/`
7×	`associate-l`
6×	`sqrt-div` `sqrt-prod` `pow-sqr`
4×	`swap-sqr` `add-log-exp`
3×	`prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`*-commutative`
1×	`cbrt-undiv` `pow2` `frac-times` `pow-plus` `sqrt-unprod` `div-exp` `associate-*l/` `rem-square-sqrt` `div-inv`

Counts

4 → 108

Calls

4 calls:

6.0ms	(* m (/ m v))
11.0ms	(* (sqrt (* m (/ m v))) (sqrt (* m (/ m v))))
4.0ms	(sqrt (* m (/ m v)))
6.0ms	(sqrt (* m (/ m v)))

series23.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* m (/ m v))
6.0ms	(* (sqrt (* m (/ m v))) (sqrt (* m (/ m v))))
7.0ms	(sqrt (* m (/ m v)))
7.0ms	(sqrt (* m (/ m v)))

simplify75.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4948	751
1	4948	751

prune99.0ms

Filtered

73 candidates to 120 candidates (-64.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	120	6	126

Merged error: 0.0b

Counts

126 → 6

regimes98.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	25
1	40	25

end0.0ms

sample1.0s

Algorithm

intervals

Results

405.0ms	13902×	body	80	valid
247.0ms	13902×	pre	80	true

Details

sample226.0ms

simplify573.0ms

prune11.0ms

localize10.0ms

rewrite56.0ms

series31.0ms

simplify46.0ms

prune136.0ms

localize15.0ms

rewrite72.0ms

series47.0ms

simplify42.0ms

prune234.0ms

localize8.0ms

rewrite28.0ms

series17.0ms

simplify41.0ms

prune96.0ms

localize11.0ms

rewrite31.0ms

series23.0ms

simplify75.0ms

prune99.0ms

regimes98.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.0s

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