Details

sample300.0ms

Algorithm

intervals

Results

11.0ms	417×	body	80	valid
6.0ms	417×	pre	80	true

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

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

rewrite79.0ms

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:

9.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
9.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
50.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series157.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
44.0ms	(* m (- 1.0 m))
43.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify58.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	400	725
1	1959	665
2	5002	653

prune198.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

51×	`times-frac`
45×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
22×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/l*`
10×	`associate-/r/`
9×	`associate-r` `associate-l`
8×	`pow1` `flip3--` `flip--`
7×	`cbrt-undiv` `div-exp` `associate-/r*`
6×	`associate-*r/` `div-inv` `distribute-lft-out`
5×	`flip3-+` `flip-+`
4×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `prod-exp` `cbrt-unprod` `add-log-exp` `difference-of-squares`
3×	`associate-/l/`
2×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 147

Calls

4 calls:

11.0ms	(* m (- (* 1.0 1.0) (* m m)))
12.0ms	(/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v)
10.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m))
140.0ms	(* (- (/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v) 1.0) (- 1.0 m))

series318.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* m (- (* 1.0 1.0) (* m m)))
71.0ms	(/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v)
117.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m))
59.0ms	(* (- (/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v) 1.0) (- 1.0 m))

simplify114.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	716	1692
1	3796	1514
2	5003	1514

prune345.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v)
0.1b	(/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m))
0.1b	(/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m))
0.2b	(* (- (/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v) 1.0) (- m))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

55×	`times-frac`
49×	`*-un-lft-identity`
38×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
25×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r/` `associate-/l*`
11×	`associate-/r*`
10×	`associate-r`
9×	`cbrt-undiv` `div-exp`
8×	`distribute-lft-out`
7×	`div-inv`
6×	`pow1` `flip3-+` `associate-l` `flip-+`
5×	`associate-/l/`
4×	`associate-*r/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`distribute-lft-neg-in` `flip3--` `distribute-rgt-neg-in` `frac-2neg` `clear-num` `flip--`
2×	`associate-*l/` `difference-of-squares`
1×	`neg-mul-1` `pow-prod-down` `*-commutative` `distribute-rgt-neg-out` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 145

Calls

4 calls:

13.0ms	(/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v)
10.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m))
10.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m))
135.0ms	(* (- (/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v) 1.0) (- m))

series371.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v)
117.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m))
122.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m))
60.0ms	(* (- (/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v) 1.0) (- m))

simplify89.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	620	1586
1	3215	1380
2	5002	1380

prune422.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite144.0ms

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:

9.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
72.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
52.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series354.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* m (- 1.0 m))
41.0ms	(/ (* m (- 1.0 m)) v)
131.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
138.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify43.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	855	1758
1	5002	1540

prune366.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes50.0ms

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	16	10
1	16	10

end0.0ms

sample724.0ms

Algorithm

intervals

Results

331.0ms	13705×	body	80	valid
175.0ms	13705×	pre	80	true