Details

sample291.0ms

Algorithm

intervals

Results

15.0ms	446×	body	80	valid
9.0ms	446×	pre	80	true

simplify83.0ms

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

prune3.0ms

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

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:

22.0ms	(* m (- 1.0 m))
13.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
9.0ms	(/ (* m (- 1.0 m)) v)

series133.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* m (- 1.0 m))
37.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
45.0ms	(/ (* m (- 1.0 m)) v)

simplify61.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (52.0ms)

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

prune161.0ms

Filtered

92 candidates to 61 candidates (66.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	6	93

Merged error: 0b

Counts

93 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
99×	`add-sqr-sqrt`
90×	`*-un-lft-identity`
62×	`add-cube-cbrt`
21×	`associate-/r*`
16×	`difference-of-squares`
14×	`distribute-lft-out--`
10×	`flip3--` `flip--`
9×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
7×	`associate-l`
5×	`associate-r` `div-inv`
4×	`pow1` `frac-times`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 138

Calls

2 calls:

9.0ms	(/ m (/ v (- 1.0 m)))
31.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series76.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ m (/ v (- 1.0 m)))
39.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify89.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	629	1255
1	3145	1210
2	5001	1208

prune245.0ms

Filtered

144 candidates to 108 candidates (75.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	144	6	150

Merged error: 0b

Counts

150 → 6

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)
23.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
19.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series359.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* m (- 1.0 m))
39.0ms	(/ (* m (- 1.0 m)) v)
133.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
142.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify42.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	855	1758
1	5002	1540

prune313.0ms

Filtered

147 candidates to 105 candidates (71.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	147	6	153

Merged error: 0b

Counts

153 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- 1.0 m))
0.1b	(cbrt (- 1.0 m))
0.1b	(cbrt (- 1.0 m))
0.1b	(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

3.0ms	(cbrt (- 1.0 m))
3.0ms	(cbrt (- 1.0 m))
3.0ms	(cbrt (- 1.0 m))
14.0ms	(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))

series385.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(cbrt (- 1.0 m))
93.0ms	(cbrt (- 1.0 m))
92.0ms	(cbrt (- 1.0 m))
109.0ms	(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))

simplify148.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (137.0ms)

Iter	Nodes	Cost
0	316	847
1	1010	807
2	4442	753
3	5001	749

prune250.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	113	6	119

Merged error: 0b

Counts

119 → 6

regimes49.0ms

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

sample922.0ms

Algorithm

intervals

Results

429.0ms	13758×	body	80	valid
256.0ms	13758×	pre	80	true