Details

analyze260.0ms

Algorithm: search

sample24.0ms

Algorithm

intervals

Results

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

simplify456.0ms

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 3 expressions with local error:

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)

rewrite33.0ms

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)

series40.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* m (- 1.0 m))
21.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
14.0ms	(/ (* m (- 1.0 m)) v)

simplify60.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (51.0ms)

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

prune124.0ms

Filtered

61 candidates to 92 candidates (-50.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	88	4	92
Fresh	0	0	0
Picked	0	1	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))
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)))

rewrite60.0ms

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)
25.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
16.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series44.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
16.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
18.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify45.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	886	1761
1	5002	1541

prune262.0ms

Filtered

105 candidates to 147 candidates (-40.0%)

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

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))

rewrite36.0ms

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))
12.0ms	(* (* m (- 1.0 m)) (/ 1 v))

series18.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* m (- 1.0 m))
7.0ms	(* (- (* (* 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

prune109.0ms

Filtered

65 candidates to 109 candidates (-67.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	109	5	114

Merged error: 0b

Counts

114 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
0.1b	(/ (* m (- 1.0 m)) v)
0.2b	(pow (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)) 3)
21.7b	(cbrt (pow (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)) 3))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

19×	`flip3--` `flip--`
16×	`cube-div` `add-sqr-sqrt`
14×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
12×	`frac-times`
10×	`add-cube-cbrt`
9×	`pow1`
8×	`cbrt-prod` `cbrt-div` `associate-*r/`
6×	`associate-*l/`
5×	`associate-r` `associate-l`
4×	`add-log-exp`
3×	`pow-unpow` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `distribute-rgt-in` `cube-mult` `sub-neg` `unpow-prod-down` `pow-pow` `distribute-lft-in` `unpow3` `cube-prod` `div-exp` `pow-prod-down` `pow-exp` `associate-/l/` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`
1×	`pow-to-exp` `frac-2neg` `pow1/3` `clear-num` `-commutative` `rem-cbrt-cube` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

14.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
16.0ms	(pow (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)) 3)
4.0ms	(cbrt (pow (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)) 3))

series40.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
19.0ms	(pow (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)) 3)
7.0ms	(cbrt (pow (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)) 3))

simplify83.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	600	1195
1	3270	1155
2	5001	1148

prune190.0ms

Filtered

89 candidates to 124 candidates (-39.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	124	5	129

Merged error: 0b

Counts

129 → 5

regimes133.0ms

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

sample576.0ms

Algorithm

intervals

Results

273.0ms	8000×	body	80	valid
157.0ms	8072×	pre	80	true
2.0ms	72×	body	80	invalid

Details

analyze260.0ms

sample24.0ms

simplify456.0ms

prune4.0ms

localize9.0ms

rewrite33.0ms

series40.0ms

simplify60.0ms

prune124.0ms

localize13.0ms

rewrite60.0ms

series44.0ms

simplify45.0ms

prune262.0ms

localize8.0ms

rewrite36.0ms

series18.0ms

simplify74.0ms

prune109.0ms

localize10.0ms

rewrite45.0ms

series40.0ms

simplify83.0ms

prune190.0ms

regimes133.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze49.0ms

sample576.0ms

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