Details

analyze251.0ms

Algorithm: search

sample23.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
5.0ms	259×	pre	80	true
0.0ms	3×	body	80	invalid

simplify458.0ms

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: 0.0b

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

rewrite32.0ms

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:

6.0ms	(* m (- 1.0 m))
14.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
9.0ms	(/ (* m (- 1.0 m)) v)

series41.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* m (- 1.0 m))
22.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
14.0ms	(/ (* m (- 1.0 m)) v)

simplify57.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (48.0ms)

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

prune126.0ms

Filtered

61 candidates to 92 candidates (-50.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	87	5	92
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	6	93

Merged error: 0b

Counts

93 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
118×	`add-sqr-sqrt`
109×	`*-un-lft-identity`
73×	`add-cube-cbrt`
26×	`associate-/r*`
20×	`difference-of-squares`
18×	`distribute-lft-out--`
12×	`add-exp-log` `add-cbrt-cube`
11×	`flip3--` `associate-/r/` `flip--`
7×	`associate-l`
6×	`div-inv` `associate-/l*`
5×	`pow1` `associate-r`
4×	`cbrt-undiv` `frac-times` `div-exp`
3×	`add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-r/` `associate-l/` `clear-num`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 175

Calls

3 calls:

5.0ms	(/ v (- 1.0 m))
33.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))

series18.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify89.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	684	1470
1	3431	1414
2	5002	1413

prune244.0ms

Filtered

138 candidates to 184 candidates (-33.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	184	6	190

Merged error: 0b

Counts

190 → 6

localize12.0ms

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)))

rewrite57.0ms

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))
7.0ms	(/ (* m (- 1.0 m)) v)
22.0ms	(* (* (- (/ (* 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)))

series40.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* m (- 1.0 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)))

simplify40.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	886	1761
1	5002	1541

prune267.0ms

Filtered

105 candidates to 147 candidates (-40.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	147	6	153

Merged error: 0b

Counts

153 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (- 1.0 m))
0.3b	(* (* m (- 1.0 m)) (/ 1 v))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 100

Calls

3 calls:

6.0ms	(* m (- 1.0 m))
14.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (- 1.0 m))
10.0ms	(* (* m (- 1.0 m)) (/ 1 v))

series19.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* m (- 1.0 m))
9.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (- 1.0 m))
6.0ms	(* (* m (- 1.0 m)) (/ 1 v))

simplify74.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	514	773
1	2789	690
2	5001	672

prune108.0ms

Filtered

66 candidates to 109 candidates (-65.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	109	6	115

Merged error: 0b

Counts

115 → 6

regimes143.0ms

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	10	6
1	10	6

end0.0ms

analyze49.0ms

Algorithm: search

sample552.0ms

Algorithm

intervals

Results

267.0ms	8000×	body	80	valid
150.0ms	8064×	pre	80	true
4.0ms	64×	body	80	invalid

Details

analyze251.0ms

sample23.0ms

simplify458.0ms

prune4.0ms

localize9.0ms

rewrite32.0ms

series41.0ms

simplify57.0ms

prune126.0ms

localize7.0ms

rewrite56.0ms

series18.0ms

simplify89.0ms

prune244.0ms

localize12.0ms

rewrite57.0ms

series40.0ms

simplify40.0ms

prune267.0ms

localize8.0ms

rewrite34.0ms

series19.0ms

simplify74.0ms

prune108.0ms

regimes143.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze49.0ms

sample552.0ms

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