Details

sample276.0ms

Algorithm

intervals

Results

11.0ms	447×	body	80	valid
6.0ms	447×	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)
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

rewrite92.0ms

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:

11.0ms	(* m (- 1.0 m))
10.0ms	(/ (* m (- 1.0 m)) v)
64.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series130.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* m (- 1.0 m))
41.0ms	(/ (* m (- 1.0 m)) v)
43.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify75.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (62.0ms)

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

prune206.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`associate-r` `associate-*l/`
7×	`flip3--` `flip--`
6×	`pow1` `times-frac` `associate-/r*` `add-log-exp`
5×	`associate-l`
4×	`cbrt-undiv` `expm1-log1p-u` `associate-*r/` `div-exp` `frac-add` `log1p-expm1-u` `associate-/l/`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`
1×	`+-commutative` `neg-mul-1` `fma-def` `flip3-+` `unsub-neg` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

10.0ms	(/ (* m (- 1.0 m)) v)
10.0ms	(/ (* m (- 1.0 m)) v)
22.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
49.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

series152.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (* m (- 1.0 m)) v)
40.0ms	(/ (* m (- 1.0 m)) v)
38.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
39.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

simplify72.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	529	1005
1	2584	882
2	5001	862

prune269.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* m (- 1.0 m)) v)
0.0b	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (* m (/ (- 1.0 m) v)) 1.0) (- m)))
0.2b	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- m))
0.3b	(* m (/ (- 1.0 m) v))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
29×	`associate-r`
26×	`*-un-lft-identity`
20×	`add-cube-cbrt`
19×	`times-frac`
16×	`add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
8×	`pow1`
6×	`flip3--` `associate-l` `flip--` `add-log-exp`
4×	`expm1-log1p-u` `frac-add` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`cbrt-undiv` `distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-r/` `div-exp` `associate-/r` `distribute-rgt-neg-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`pow-prod-down` `*-commutative` `div-inv` `associate-/l/`
1×	`+-commutative` `neg-mul-1` `fma-def` `frac-2neg` `flip3-+` `unsub-neg` `clear-num` `sum-log` `flip-+` `associate-/l*`

Counts

4 → 115

Calls

4 calls:

12.0ms	(/ (* m (- 1.0 m)) v)
19.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (* m (/ (- 1.0 m) v)) 1.0) (- m)))
25.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- m))
14.0ms	(* m (/ (- 1.0 m) v))

series148.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (* m (- 1.0 m)) v)
42.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (* m (/ (- 1.0 m) v)) 1.0) (- m)))
35.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- m))
36.0ms	(* m (/ (- 1.0 m) v))

simplify102.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	708	1062
1	3518	945
2	5001	905

prune307.0ms

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)))

rewrite189.0ms

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:

11.0ms	(* m (- 1.0 m))
10.0ms	(/ (* m (- 1.0 m)) v)
92.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
63.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series366.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* m (- 1.0 m))
36.0ms	(/ (* m (- 1.0 m)) v)
139.0ms	(* (* (- (/ (* 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)))

simplify64.0ms

Algorithm

egg-herbie

Counts

245 → 245

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1234	4829
1	5001	3996

prune494.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	12
1	21	12
2	22	12
3	22	12

end0.0ms

sample721.0ms

Algorithm

intervals

Results

322.0ms	13679×	body	80	valid
180.0ms	13679×	pre	80	true