Details

sample231.0ms

Algorithm

intervals

Results

15.0ms	419×	body	80	valid
9.0ms	419×	pre	80	true

simplify79.0ms

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

Filtered

1 candidates to 0 candidates (100.0%)

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
14.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
9.0ms	(/ (* m (- 1.0 m)) v)

series27.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
8.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
13.0ms	(/ (* m (- 1.0 m)) v)

simplify46.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	362	625
1	1704	577
2	5002	565

prune121.0ms

Filtered

80 candidates to 55 candidates (31.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	6	81

Merged error: 0.0b

Counts

81 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
128×	`add-sqr-sqrt`
112×	`*-un-lft-identity`
74×	`add-cube-cbrt`
26×	`associate-/r*`
23×	`difference-of-squares`
19×	`distribute-lft-out--`
13×	`add-exp-log` `add-cbrt-cube`
12×	`flip3--` `flip--`
11×	`associate-/r/`
7×	`associate-l`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `frac-times` `div-exp`
3×	`sub-neg`
2×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-r/` `associate-l/` `clear-num`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 191

Calls

4 calls:

5.0ms	(/ v (- 1.0 m))
27.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
31.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))

series24.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify90.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	699	1623
1	3448	1558
2	5002	1557

prune260.0ms

Filtered

203 candidates to 152 candidates (25.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	202	1	203
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	203	6	209

Merged error: 0.0b

Counts

209 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)) 1.0) (- 1.0 m))
0.1b	(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
0.1b	(/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))
0.1b	(* m (- (pow 1.0 3) (pow m 3)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

27.0ms	(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)) 1.0) (- 1.0 m))
9.0ms	(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
21.0ms	(/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))
18.0ms	(* m (- (pow 1.0 3) (pow m 3)))

series46.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)) 1.0) (- 1.0 m))
6.0ms	(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
13.0ms	(/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))
10.0ms	(* m (- (pow 1.0 3) (pow m 3)))

simplify118.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	702	1555
1	3963	1374
2	5002	1374

prune266.0ms

Filtered

137 candidates to 88 candidates (35.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	137	6	143

Merged error: 0.0b

Counts

143 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
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`
23×	`add-sqr-sqrt` `flip3--` `flip--`
21×	`*-un-lft-identity`
16×	`add-exp-log` `associate-*l/` `add-cbrt-cube`
14×	`associate-r`
12×	`flip3-+` `associate-*r/` `flip-+`
11×	`pow1`
9×	`add-cube-cbrt`
8×	`sqrt-prod`
6×	`associate-l` `add-log-exp` `difference-of-squares`
5×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `distribute-lft-out--`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `*-commutative` `associate-/l/` `distribute-lft-out`
1×	`frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 123

Calls

4 calls:

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

series42.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
5.0ms	(/ (* m (- 1.0 m)) v)
14.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
17.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify40.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	848	1785
1	5002	1567

prune238.0ms

Filtered

135 candidates to 101 candidates (25.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	135	6	141

Merged error: 0.0b

Counts

141 → 6

regimes139.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample1.1s

Algorithm

intervals

Results

462.0ms	13599×	body	80	valid
248.0ms	13599×	pre	80	true

Details

sample231.0ms

simplify79.0ms

prune4.0ms

localize9.0ms

rewrite34.0ms

series27.0ms

simplify46.0ms

prune121.0ms

localize7.0ms

rewrite81.0ms

series24.0ms

simplify90.0ms

prune260.0ms

localize19.0ms

rewrite81.0ms

series46.0ms

simplify118.0ms

prune266.0ms

localize12.0ms

rewrite60.0ms

series42.0ms

simplify40.0ms

prune238.0ms

regimes139.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.1s

Profiling