Details

sample247.0ms

Algorithm

intervals

Results

20.0ms	433×	body	80	valid
12.0ms	433×	pre	80	true

simplify427.0ms

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

localize32.0ms

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))

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))
7.0ms	(/ (* m (- 1.0 m)) v)
17.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series26.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
15.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify56.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (48.0ms)

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

prune130.0ms

Filtered

61 candidates to 92 candidates (-50.8%)

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

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

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))
8.0ms	(/ m (/ v (- 1.0 m)))
32.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series18.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ v (- 1.0 m))
5.0ms	(/ m (/ v (- 1.0 m)))
7.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify87.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	684	1470
1	3431	1414
2	5001	1413

prune231.0ms

Filtered

138 candidates to 184 candidates (-33.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	183	1	184
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	184	5	189

Merged error: 0b

Counts

189 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

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:

7.0ms	(/ (* m (- 1.0 m)) v)
7.0ms	(/ (* m (- 1.0 m)) v)
12.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (neg m)))
13.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (neg m))

series31.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ (* m (- 1.0 m)) v)
8.0ms	(/ (* m (- 1.0 m)) v)
10.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (neg m)))
7.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (neg m))

simplify66.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (56.0ms)

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

prune138.0ms

Filtered

77 candidates to 106 candidates (-37.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	106	5	111

Merged error: 0b

Counts

111 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 74

Calls

2 calls:

12.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (- 1.0 m))
9.0ms	(* (/ m v) (- 1.0 m))

series13.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify50.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	405	588
1	1872	542
2	5002	542

prune80.0ms

Filtered

56 candidates to 80 candidates (-42.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	80	5	85

Merged error: 0b

Counts

85 → 5

regimes84.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample1.0s

Algorithm

intervals

Results

430.0ms	13623×	body	80	valid
254.0ms	13623×	pre	80	true

Details

sample247.0ms

simplify427.0ms

prune4.0ms

localize32.0ms

rewrite33.0ms

series26.0ms

simplify56.0ms

prune130.0ms

localize7.0ms

rewrite53.0ms

series18.0ms

simplify87.0ms

prune231.0ms

localize10.0ms

rewrite41.0ms

series31.0ms

simplify66.0ms

prune138.0ms

localize6.0ms

rewrite23.0ms

series13.0ms

simplify50.0ms

prune80.0ms

regimes84.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.0s

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