Details

sample228.0ms

Algorithm

intervals

Results

15.0ms	452×	body	80	valid
9.0ms	452×	pre	80	true

simplify530.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5045	13

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.0b

Counts

2 → 2

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

rewrite61.0ms

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)
26.0ms	(* m (- 1.0 m))
13.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
9.0ms	(/ (* m (- 1.0 m)) v)

series32.0ms

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

simplify30.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5078	1335

prune140.0ms

Filtered

76 candidates to 109 candidates (-43.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	106	5	111

Merged error: 0b

Counts

111 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 212

Calls

4 calls:

19.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) (- 1.0 m))
7.0ms	(/ (- 1.0 m) (sqrt v))
4.0ms	(/ m (sqrt v))
24.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series33.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) (- 1.0 m))
5.0ms	(/ (- 1.0 m) (sqrt v))
7.0ms	(/ m (sqrt v))
9.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify46.0ms

Algorithm

egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5491	2846

prune223.0ms

Filtered

146 candidates to 224 candidates (-53.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	224	0	224
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	224	5	229

Merged error: 0b

Counts

229 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* m m) (* 1.0 m))
0.0b	(* (- (* (/ (- 1.0 m) v) m) 1.0) (- (pow 1.0 3) (pow m 3)))
0.3b	(* (/ (- 1.0 m) v) m)
2.1b	(/ (* (- (* (/ (- 1.0 m) v) m) 1.0) (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
28×	`associate-r`
22×	`associate-l`
19×	`times-frac` `difference-of-squares`
18×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
12×	`unpow-prod-down` `flip3--` `cube-prod` `flip--`
8×	`pow1` `frac-times` `associate-/l/` `distribute-lft-out--` `sqr-pow`
6×	`add-log-exp`
5×	`associate-*l/`
4×	`associate-*r/` `prod-exp` `cbrt-unprod`
3×	`cbrt-undiv` `div-exp` `associate-/r*` `unswap-sqr`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3-+` `pow-prod-down` `associate-/r/` `*-commutative` `flip-+` `div-inv`
1×	`difference-cubes` `+-commutative` `distribute-rgt-out` `frac-2neg` `clear-num` `sum-log` `associate-/l*`

Counts

4 → 133

Calls

4 calls:

3.0ms	(+ (* m m) (* 1.0 m))
24.0ms	(* (- (* (/ (- 1.0 m) v) m) 1.0) (- (pow 1.0 3) (pow m 3)))
8.0ms	(* (/ (- 1.0 m) v) m)
25.0ms	(/ (* (- (* (/ (- 1.0 m) v) m) 1.0) (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m))))

series32.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (* m m) (* 1.0 m))
8.0ms	(* (- (* (/ (- 1.0 m) v) m) 1.0) (- (pow 1.0 3) (pow m 3)))
5.0ms	(* (/ (- 1.0 m) v) m)
14.0ms	(/ (* (- (* (/ (- 1.0 m) v) m) 1.0) (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m))))

simplify70.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5027	2603

prune301.0ms

Filtered

105 candidates to 145 candidates (-38.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	145	5	150

Merged error: 0b

Counts

150 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

60×	`pow1`
52×	`add-sqr-sqrt`
42×	`associate-l`
40×	`*-un-lft-identity`
32×	`times-frac`
30×	`sqrt-pow1`
28×	`add-cube-cbrt`
23×	`pow-prod-down`
16×	`add-exp-log` `add-cbrt-cube`
11×	`pow1/2`
10×	`associate-r` `pow-prod-up`
8×	`associate-*l/`
6×	`pow-sqr` `distribute-lft-out--` `difference-of-squares`
5×	`sqrt-div` `prod-exp` `sqrt-prod` `cbrt-unprod` `unswap-sqr`
4×	`swap-sqr` `add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `div-exp` `div-inv`
1×	`pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-*r/` `rem-square-sqrt`

Counts

4 → 140

Calls

4 calls:

6.0ms	(sqrt (* (/ (- 1.0 m) v) m))
9.0ms	(* (/ (- 1.0 m) v) m)
9.0ms	(* (/ (- 1.0 m) v) m)
18.0ms	(* (sqrt (* (/ (- 1.0 m) v) m)) (sqrt (* (/ (- 1.0 m) v) m)))

series26.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sqrt (* (/ (- 1.0 m) v) m))
5.0ms	(* (/ (- 1.0 m) v) m)
5.0ms	(* (/ (- 1.0 m) v) m)
6.0ms	(* (sqrt (* (/ (- 1.0 m) v) m)) (sqrt (* (/ (- 1.0 m) v) m)))

simplify52.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5007	1200

prune198.0ms

Filtered

97 candidates to 152 candidates (-56.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	152	5	157

Merged error: 0b

Counts

157 → 5

regimes132.0ms

Accuracy

0% (0.0b 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	13
1	10	13

end0.0ms

sample1.0s

Algorithm

intervals

Results

442.0ms	13618×	body	80	valid
241.0ms	13618×	pre	80	true

Details

sample228.0ms

simplify530.0ms

prune11.0ms

localize9.0ms

rewrite61.0ms

series32.0ms

simplify30.0ms

prune140.0ms

localize9.0ms

rewrite63.0ms

series33.0ms

simplify46.0ms

prune223.0ms

localize19.0ms

rewrite69.0ms

series32.0ms

simplify70.0ms

prune301.0ms

localize9.0ms

rewrite46.0ms

series26.0ms

simplify52.0ms

prune198.0ms

regimes132.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.0s

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