Details

analyze254.0ms

Algorithm: search

sample24.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify454.0ms

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

prune4.0ms

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-r`
9×	`flip3--` `flip--`
8×	`pow1` `associate-l`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `distribute-lft-out--` `difference-of-squares`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `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 → 97

Calls

4 calls:

8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
6.0ms	(* m (- 1.0 m))
13.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
8.0ms	(/ (* m (- 1.0 m)) v)

series45.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
5.0ms	(* m (- 1.0 m))
8.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
27.0ms	(/ (* m (- 1.0 m)) v)

simplify60.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	400	725
1	1959	665
2	5002	653

prune161.0ms

Filtered

72 candidates to 109 candidates (-51.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	102	7	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	7	110

Merged error: 0b

Counts

110 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

8.0ms	(* v (+ 1.0 m))
6.0ms	(* m (- (* 1.0 1.0) (* m m)))
16.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
10.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))

series33.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* v (+ 1.0 m))
7.0ms	(* m (- (* 1.0 1.0) (* m m)))
11.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
10.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))

simplify98.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	574	1110
1	3496	973
2	5001	973

prune159.0ms

Filtered

78 candidates to 119 candidates (-52.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	119	7	126

Merged error: 0b

Counts

126 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 127

Calls

4 calls:

5.0ms	(- (sqrt 1.0) (sqrt m))
7.0ms	(/ (* m (- 1.0 m)) v)
24.0ms	(* (* (- (/ (* 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)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(- (sqrt 1.0) (sqrt m))
5.0ms	(/ (* m (- 1.0 m)) v)
14.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
17.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify43.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	881	1795
1	5001	1579

prune273.0ms

Filtered

104 candidates to 139 candidates (-33.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	139	7	146

Merged error: 0b

Counts

146 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(* (- (/ (/ (* 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))
13.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

series36.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* m (- 1.0 m))
15.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) (- 1.0 m))
8.0ms	(/ (* m (- 1.0 m)) (sqrt v))
9.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

simplify92.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 2 (74.0ms)

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

prune189.0ms

Filtered

118 candidates to 196 candidates (-66.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	196	7	203

Merged error: 0b

Counts

203 → 7

regimes168.0ms

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	10
1	17	10

end0.0ms

analyze50.0ms

Algorithm: search

sample581.0ms

Algorithm

intervals

Results

276.0ms	8000×	body	80	valid
162.0ms	8055×	pre	80	true
2.0ms	55×	body	80	invalid

Details

analyze254.0ms

sample24.0ms

simplify454.0ms

prune4.0ms

localize9.0ms

rewrite39.0ms

series45.0ms

simplify60.0ms

prune161.0ms

localize13.0ms

rewrite44.0ms

series33.0ms

simplify98.0ms

prune159.0ms

localize13.0ms

rewrite56.0ms

series41.0ms

simplify43.0ms

prune273.0ms

localize9.0ms

rewrite62.0ms

series36.0ms

simplify92.0ms

prune189.0ms

regimes168.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze50.0ms

sample581.0ms

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