Details

sample293.0ms

Algorithm

intervals

Results

11.0ms	455×	body	80	valid
7.0ms	455×	pre	80	true

simplify87.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

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))
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)

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-sqr-sqrt`
57×	`*-un-lft-identity` `prod-diff`
49×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
15×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r`
9×	`flip3--` `flip--`
8×	`pow1` `associate-l`
7×	`fma-neg`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg` `div-inv`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`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` `associate-/l*`

Counts

4 → 169

Calls

4 calls:

23.0ms	(* m (- 1.0 m))
12.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
16.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
11.0ms	(/ (* m (- 1.0 m)) v)

series158.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* m (- 1.0 m))
23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
41.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
48.0ms	(/ (* m (- 1.0 m)) v)

simplify96.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	583	1692
1	2838	1209
2	5001	1196

prune255.0ms

Filtered

181 candidates to 93 candidates (51.4%)

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 192

Calls

4 calls:

13.0ms	(- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0)
4.0ms	(+ (* 1.0 m) (* (- m) m))
17.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))
6.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)

series161.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0)
57.0ms	(+ (* 1.0 m) (* (- m) m))
35.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))
46.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)

simplify113.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	659	2618
1	3000	1982
2	5001	1915

prune350.0ms

Filtered

204 candidates to 118 candidates (57.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

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

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

573×	`times-frac`
464×	`add-sqr-sqrt`
457×	`*-un-lft-identity`
349×	`add-cube-cbrt`
222×	`prod-diff`
68×	`fma-neg`
56×	`difference-of-squares`
54×	`distribute-lft-out--`
39×	`associate-/r/`
26×	`associate-/r*`
24×	`flip3--` `flip--`
22×	`div-inv`
18×	`add-exp-log`
16×	`add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
8×	`associate-*r/`
6×	`associate-/l*` `add-log-exp`
5×	`associate-r` `prod-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `log1p-expm1-u`
3×	`sub-neg` `pow-prod-down` `cbrt-unprod`
2×	`frac-2neg` `associate-*l/` `clear-num`
1×	`diff-log` `1-exp` `associate-l` `*-commutative`

Counts

4 → 486

Calls

4 calls:

5.0ms	(/ v (- 1.0 m))
37.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
31.0ms	(* (* 1 (- (/ m (/ v (- 1.0 m))) 1.0)) (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))

series135.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ v (- 1.0 m))
23.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
41.0ms	(* (* 1 (- (/ m (/ v (- 1.0 m))) 1.0)) (- 1.0 m))
37.0ms	(/ m (/ v (- 1.0 m)))

simplify85.0ms

Algorithm

egg-herbie

Counts

498 → 498

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1335	6294
1	5001	4852

prune838.0ms

Filtered

498 candidates to 264 candidates (53.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 217

Calls

4 calls:

4.0ms	(+ (* 1.0 m) (* (- m) m))
6.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
29.0ms	(* (* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
21.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series383.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(+ (* 1.0 m) (* (- m) m))
49.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
132.0ms	(* (* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
143.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify64.0ms

Algorithm

egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1183	5324
1	5001	4424

prune538.0ms

Filtered

229 candidates to 136 candidates (59.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes48.0ms

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	17	8
1	17	8

end0.0ms

sample728.0ms

Algorithm

intervals

Results

311.0ms	13855×	body	80	valid
191.0ms	13855×	pre	80	true