Details

sample284.0ms

Algorithm

intervals

Results

15.0ms	456×	body	80	valid
9.0ms	456×	pre	80	true

simplify130.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	72	5
3	188	5
4	406	5
5	636	5
6	938	5
7	1312	5
8	1969	5
9	2932	5
10	3912	5
11	5001	5

prune4.0ms

Filtered

1 candidates to 0 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: 0.2b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
39×	`prod-diff`
37×	`add-cube-cbrt`
15×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1` `associate-r` `associate-l`
7×	`fma-neg`
6×	`add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
3×	`sub-neg` `prod-exp` `associate-/r*` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/l*`

Counts

4 → 139

Calls

4 calls:

10.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
21.0ms	(* m (- 1.0 m))
8.0ms	(/ (* m (- 1.0 m)) v)
14.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series153.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
44.0ms	(* m (- 1.0 m))
42.0ms	(/ (* m (- 1.0 m)) v)
44.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify81.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	492	1130
1	2310	788
2	5002	775

prune192.0ms

Filtered

151 candidates to 83 candidates (55.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	144	7	151
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	144	8	152

Merged error: 0.0b

Counts

152 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* m (- 1.0 m)) (/ 1 v)) 1.0)
0.0b	(* m (- 1.0 m))
0.1b	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
0.3b	(* (* m (- 1.0 m)) (/ 1 v))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
30×	`add-exp-log` `*-un-lft-identity`
28×	`add-cube-cbrt`
21×	`associate-r` `prod-diff`
20×	`add-cbrt-cube`
14×	`prod-exp`
13×	`pow1`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`times-frac`
8×	`cbrt-unprod`
7×	`associate-r/` `associate-l*`
6×	`add-log-exp`
5×	`flip3--` `pow-prod-down` `flip--`
4×	`expm1-log1p-u` `div-exp` `associate-*l/` `log1p-expm1-u`
3×	`sub-neg` `*-commutative`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `unswap-sqr`
1×	`fma-neg` `diff-log` `un-div-inv` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 130

Calls

4 calls:

11.0ms	(- (* (* m (- 1.0 m)) (/ 1 v)) 1.0)
7.0ms	(* m (- 1.0 m))
12.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
10.0ms	(* (* m (- 1.0 m)) (/ 1 v))

series142.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (* (* m (- 1.0 m)) (/ 1 v)) 1.0)
46.0ms	(* m (- 1.0 m))
34.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
39.0ms	(* (* m (- 1.0 m)) (/ 1 v))

simplify89.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	575	977
1	2976	726
2	5002	698

prune166.0ms

Filtered

142 candidates to 77 candidates (54.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	144	6	150

Merged error: 0.0b

Counts

150 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (/ (* m (- 1.0 m)) (sqrt v)) (/ 1 (sqrt v))) 1.0) m)
0.3b	(* (/ (* m (- 1.0 m)) (sqrt v)) (/ 1 (sqrt v)))
0.3b	(/ (* m (- 1.0 m)) (sqrt v))
0.4b	(/ 1 (sqrt v))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
54×	`add-exp-log`
52×	`times-frac`
43×	`*-un-lft-identity`
41×	`add-cube-cbrt`
34×	`add-cbrt-cube`
32×	`sqrt-prod`
25×	`associate-r`
18×	`div-exp` `prod-exp`
13×	`associate-l`
12×	`associate-/r*`
10×	`pow1` `cbrt-undiv` `cbrt-unprod`
6×	`unswap-sqr`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
3×	`pow-flip` `associate-r/` `associate-l/`
2×	`flip3--` `frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `sqrt-pow1` `pow1/2` `un-div-inv` `inv-pow`

Counts

4 → 170

Calls

4 calls:

17.0ms	(* (- (* (/ (* m (- 1.0 m)) (sqrt v)) (/ 1 (sqrt v))) 1.0) m)
17.0ms	(* (/ (* m (- 1.0 m)) (sqrt v)) (/ 1 (sqrt v)))
9.0ms	(/ (* m (- 1.0 m)) (sqrt v))
4.0ms	(/ 1 (sqrt v))

series174.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (- (* (/ (* m (- 1.0 m)) (sqrt v)) (/ 1 (sqrt v))) 1.0) m)
44.0ms	(* (/ (* m (- 1.0 m)) (sqrt v)) (/ 1 (sqrt v)))
56.0ms	(/ (* m (- 1.0 m)) (sqrt v))
28.0ms	(/ 1 (sqrt v))

simplify102.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	786	1438
1	4340	1219
2	5002	1170

prune268.0ms

Filtered

182 candidates to 111 candidates (61.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	182	6	188

Merged error: 0.0b

Counts

188 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.2b	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (sqrt m))
0.3b	(* (* m (- 1.0 m)) (/ 1 v))
0.4b	(* (* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (sqrt m)) (sqrt m))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
35×	`add-exp-log`
32×	`*-un-lft-identity`
30×	`add-cube-cbrt` `associate-r`
25×	`add-cbrt-cube`
18×	`pow1` `prod-diff`
17×	`prod-exp`
11×	`distribute-rgt-in` `distribute-lft-in` `cbrt-unprod`
9×	`times-frac`
8×	`associate-l` `pow-prod-down` `associate-*l/`
7×	`associate-*r/` `sqrt-prod`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `div-exp` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`cbrt-undiv` `frac-times` `sub-neg` `rec-exp` `1-exp`
1×	`un-div-inv` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 141

Calls

4 calls:

7.0ms	(* m (- 1.0 m))
16.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (sqrt m))
10.0ms	(* (* m (- 1.0 m)) (/ 1 v))
15.0ms	(* (* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (sqrt m)) (sqrt m))

series202.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* m (- 1.0 m))
74.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (sqrt m))
39.0ms	(* (* m (- 1.0 m)) (/ 1 v))
46.0ms	(* (* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (sqrt m)) (sqrt m))

simplify87.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	649	1200
1	3150	925
2	5002	900

prune205.0ms

Filtered

153 candidates to 86 candidates (56.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	152	7	159

Merged error: 0.0b

Counts

159 → 7

regimes81.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample886.0ms

Algorithm

intervals

Results

414.0ms	13569×	body	80	valid
246.0ms	13569×	pre	80	true