Details

sample330.0ms

Algorithm

intervals

Results

13.0ms	426×	body	80	valid
8.0ms	426×	pre	80	true

simplify153.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	105	6
3	354	6
4	1102	6
5	3189	6
6	5002	6

prune5.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

7.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
35.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series165.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(* m (- 1.0 m))
53.0ms	(/ (* m (- 1.0 m)) v)
53.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify56.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	389	602
1	1946	551
2	5003	545

prune354.0ms

Filtered

92 candidates to 61 candidates (33.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	87	5	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	5	93

Merged error: 0b

Counts

93 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

12.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (neg m)))
6.0ms	(/ (* m (- 1.0 m)) v)
6.0ms	(/ (* m (- 1.0 m)) v)
13.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (neg m))

series188.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (neg m)))
48.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(/ (* m (- 1.0 m)) v)
48.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (neg m))

simplify68.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	506	961
1	2442	840
2	5001	827

prune444.0ms

Filtered

106 candidates to 76 candidates (28.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	106	5	111

Merged error: 0b

Counts

111 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

32×	`frac-times`
27×	`add-sqr-sqrt`
23×	`flip3--` `*-un-lft-identity` `flip--`
19×	`associate-r`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*l/`
14×	`associate-*r/`
13×	`pow1`
12×	`flip3-+` `flip-+`
11×	`add-cube-cbrt`
9×	`associate-l`
8×	`sqrt-prod`
6×	`prod-exp` `cbrt-unprod` `difference-of-squares`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down`
4×	`sub-neg` `distribute-lft-out--` `add-log-exp`
3×	`times-frac` `associate-/r` `-commutative`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `distribute-lft-out` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 135

Calls

4 calls:

6.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
21.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
15.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series495.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* m (- 1.0 m))
47.0ms	(/ (* m (- 1.0 m)) v)
165.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
226.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify40.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	886	1761
1	5002	1541

prune978.0ms

Filtered

147 candidates to 106 candidates (27.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	147	5	152

Merged error: 0b

Counts

152 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) (- 1.0 m))
0.3b	(/ (* m (- 1.0 m)) (sqrt v))
0.4b	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 184

Calls

4 calls:

6.0ms	(* m (- 1.0 m))
29.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) (sqrt v))
11.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

series283.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* m (- 1.0 m))
71.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) (- 1.0 m))
81.0ms	(/ (* m (- 1.0 m)) (sqrt v))
74.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

simplify98.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	769	1865
1	3749	1624
2	5001	1618

prune1.3s

Filtered

196 candidates to 118 candidates (39.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	196	5	201

Merged error: 0b

Counts

201 → 5

regimes98.0ms

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	17	12
1	21	12
2	22	12
3	22	12

end0.0ms

sample1.0s

Algorithm

intervals

Results

391.0ms	13913×	body	80	valid
243.0ms	13913×	pre	80	true

Details

sample330.0ms

simplify153.0ms

prune5.0ms

localize9.0ms

rewrite52.0ms

series165.0ms

simplify56.0ms

prune354.0ms

localize13.0ms

rewrite40.0ms

series188.0ms

simplify68.0ms

prune444.0ms

localize14.0ms

rewrite53.0ms

series495.0ms

simplify40.0ms

prune978.0ms

localize9.0ms

rewrite62.0ms

series283.0ms

simplify98.0ms

prune1.3s

regimes98.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.0s

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