Details

sample281.0ms

Algorithm

intervals

Results

10.0ms	426×	body	80	valid
6.0ms	426×	pre	80	true

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	112	6
3	393	6
4	1344	6
5	4072	6
6	5001	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 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) (- 1.0 m))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
36×	`prod-diff`
33×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
12×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r`
8×	`flip3--` `associate-l` `flip--`
7×	`pow1`
6×	`associate-*r/`
4×	`frac-times` `sub-neg`
3×	`expm1-log1p-u` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `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 → 125

Calls

3 calls:

22.0ms	(* m (- 1.0 m))
21.0ms	(/ (* m (- 1.0 m)) v)
107.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series122.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* m (- 1.0 m))
33.0ms	(/ (* m (- 1.0 m)) v)
46.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify77.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	500	1273
1	2527	968
2	5001	962

prune207.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
51×	`times-frac`
41×	`add-cube-cbrt`
22×	`add-exp-log` `add-cbrt-cube`
20×	`prod-diff`
14×	`distribute-rgt-in` `distribute-lft-in`
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×	`expm1-log1p-u` `frac-times` `sub-neg` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 175

Calls

4 calls:

28.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m))
27.0ms	(* m (- (* 1.0 1.0) (* m m)))
26.0ms	(/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v)
228.0ms	(* (- (/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v) 1.0) (- 1.0 m))

series289.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m))
65.0ms	(* m (- (* 1.0 1.0) (* m m)))
64.0ms	(/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v)
56.0ms	(* (- (/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v) 1.0) (- 1.0 m))

simplify140.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 2 (120.0ms)

Iter	Nodes	Cost
0	820	2304
1	4379	1999
2	5001	1997

prune392.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.0s

Algorithm

rewrite-expression-head

Rules

3337×	`times-frac`
1676×	`*-un-lft-identity`
1336×	`add-sqr-sqrt`
1291×	`add-cube-cbrt`
200×	`difference-of-squares`
189×	`distribute-lft-out`
135×	`div-inv`
110×	`associate-/r/`
97×	`associate-/r*`
47×	`flip3-+` `flip-+`
43×	`add-exp-log`
34×	`add-cbrt-cube`
28×	`div-exp`
20×	`associate-/l*`
19×	`cbrt-undiv`
18×	`prod-diff`
14×	`associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`flip3--` `flip--`
6×	`pow1`
5×	`associate-r`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `1-exp` `clear-num` `associate-/l/`
2×	`sub-neg` `associate-r/` `associate-l/` `distribute-lft-out--`
1×	`div-sub` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 1250

Calls

4 calls:

22.0ms	(/ v (/ (- (* 1.0 1.0) (* m m)) (+ 1.0 m)))
1.8s	(* (- (/ (/ m 1) (/ v (/ (- (* 1.0 1.0) (* m m)) (+ 1.0 m)))) 1.0) (- 1.0 m))
28.0ms	(/ (- (* 1.0 1.0) (* m m)) (+ 1.0 m))
56.0ms	(/ (/ m 1) (/ v (/ (- (* 1.0 1.0) (* m m)) (+ 1.0 m))))

series242.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ v (/ (- (* 1.0 1.0) (* m m)) (+ 1.0 m)))
53.0ms	(* (- (/ (/ m 1) (/ v (/ (- (* 1.0 1.0) (* m m)) (+ 1.0 m)))) 1.0) (- 1.0 m))
66.0ms	(/ (- (* 1.0 1.0) (* m m)) (+ 1.0 m))
65.0ms	(/ (/ m 1) (/ v (/ (- (* 1.0 1.0) (* m m)) (+ 1.0 m))))

simplify222.0ms

Algorithm

egg-herbie

Counts

1262 → 1262

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5001	22568

prune3.0s

Pruning

5 alts after pruning (3 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)
0.1b	(* (* (- (/ (* 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)))

rewrite317.0ms

Algorithm

rewrite-expression-head

Rules

90×	`prod-diff`
87×	`add-sqr-sqrt`
83×	`*-un-lft-identity`
80×	`sqrt-prod`
71×	`add-cube-cbrt`
50×	`distribute-rgt-in` `distribute-lft-in`
32×	`frac-times`
23×	`flip3--` `flip--`
19×	`associate-r`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*l/`
14×	`associate-*r/`
13×	`pow1`
12×	`flip3-+` `flip-+`
9×	`associate-l`
6×	`prod-exp` `cbrt-unprod` `difference-of-squares`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `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 → 233

Calls

4 calls:

22.0ms	(* m (- 1.0 m))
20.0ms	(/ (* m (- 1.0 m)) v)
156.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
105.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series325.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* m (- 1.0 m))
32.0ms	(/ (* m (- 1.0 m)) v)
125.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
123.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify65.0ms

Algorithm

egg-herbie

Counts

245 → 245

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1234	4829
1	5001	3996

prune496.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes45.0ms

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

sample760.0ms

Algorithm

intervals

Results

299.0ms	13796×	body	80	valid
167.0ms	13796×	pre	80	true