Details

sample276.0ms

Algorithm

intervals

Results

10.0ms	428×	body	80	valid
6.0ms	428×	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

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 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))

rewrite100.0ms

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:

12.0ms	(* m (- 1.0 m))
10.0ms	(/ (* m (- 1.0 m)) v)
71.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series134.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* m (- 1.0 m))
38.0ms	(/ (* m (- 1.0 m)) v)
49.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify77.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (63.0ms)

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

prune203.0ms

Filtered

134 candidates to 71 candidates (53.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
130×	`add-sqr-sqrt`
121×	`*-un-lft-identity`
85×	`add-cube-cbrt`
26×	`associate-/r*`
20×	`difference-of-squares`
18×	`prod-diff` `distribute-lft-out--`
12×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-/r/` `flip--`
7×	`associate-l`
6×	`div-inv` `associate-/l*`
5×	`pow1` `associate-r`
4×	`cbrt-undiv` `frac-times` `div-exp`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 199

Calls

3 calls:

7.0ms	(/ v (- 1.0 m))
216.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
10.0ms	(/ m (/ v (- 1.0 m)))

series110.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ v (- 1.0 m))
39.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
37.0ms	(/ m (/ v (- 1.0 m)))

simplify112.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	774	1889
1	4024	1694
2	5002	1693

prune424.0ms

Filtered

208 candidates to 146 candidates (70.2%)

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

rewrite349.0ms

Algorithm

rewrite-expression-head

Rules

148×	`add-sqr-sqrt`
114×	`times-frac`
108×	`*-un-lft-identity`
62×	`sqrt-prod`
60×	`add-cube-cbrt`
42×	`associate-/r*` `difference-of-squares`
22×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
18×	`prod-diff`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-r`
9×	`flip3--` `flip--`
8×	`pow1` `associate-l`
7×	`cbrt-undiv` `div-exp` `associate-/r/`
6×	`associate-*r/`
4×	`expm1-log1p-u` `frac-times` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
2×	`sub-neg` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip-+` `associate-/l/` `distribute-lft-out` `unswap-sqr`

Counts

4 → 225

Calls

4 calls:

11.0ms	(/ v (- (sqrt 1.0) (sqrt m)))
280.0ms	(* (- (/ (* m (+ (sqrt 1.0) (sqrt m))) (/ v (- (sqrt 1.0) (sqrt m)))) 1.0) (- 1.0 m))
24.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
24.0ms	(/ (* m (+ (sqrt 1.0) (sqrt m))) (/ v (- (sqrt 1.0) (sqrt m))))

series741.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(/ v (- (sqrt 1.0) (sqrt m)))
136.0ms	(* (- (/ (* m (+ (sqrt 1.0) (sqrt m))) (/ v (- (sqrt 1.0) (sqrt m)))) 1.0) (- 1.0 m))
72.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
338.0ms	(/ (* m (+ (sqrt 1.0) (sqrt m))) (/ v (- (sqrt 1.0) (sqrt m))))

simplify54.0ms

Algorithm

egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1093	3330
1	5001	2469

prune513.0ms

Filtered

237 candidates to 147 candidates (62.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ m (/ v (- (pow (sqrt 1.0) 3) (pow (sqrt m) 3)))) (/ (+ (sqrt 1.0) (sqrt m)) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m))))))
0.1b	(/ (+ (sqrt 1.0) (sqrt m)) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m)))))
0.5b	(pow (sqrt m) 3)
0.5b	(* (sqrt m) (sqrt m))

rewrite558.0ms

Algorithm

rewrite-expression-head

Rules

939×	`times-frac`
922×	`add-sqr-sqrt`
539×	`*-un-lft-identity`
470×	`associate-l`
349×	`add-cube-cbrt`
326×	`sqrt-prod`
324×	`difference-of-squares`
294×	`unpow-prod-down` `cube-prod`
109×	`sqr-pow`
81×	`distribute-lft-out--`
30×	`add-exp-log` `add-cbrt-cube`
27×	`associate-r`
23×	`pow1`
14×	`distribute-lft-out`
11×	`associate-/r/`
10×	`cbrt-undiv` `div-exp` `unswap-sqr`
9×	`difference-cubes` `sqrt-pow1` `pow1/2`
8×	`swap-sqr`
7×	`prod-exp` `cbrt-unprod`
6×	`div-inv`
5×	`pow-prod-up` `associate-/l*`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `flip3--` `pow-pow` `flip3-+` `associate-/r*` `pow-sqr` `flip--` `flip-+`
2×	`*-commutative` `associate-/l/`
1×	`pow2` `cube-mult` `frac-times` `pow-to-exp` `frac-2neg` `pow-plus` `sqrt-unprod` `unpow3` `associate-r/` `associate-l/` `pow-exp` `clear-num` `rem-square-sqrt` `sqrt-pow2` `rem-cube-cbrt`

Counts

4 → 643

Calls

4 calls:

430.0ms	(* (/ m (/ v (- (pow (sqrt 1.0) 3) (pow (sqrt m) 3)))) (/ (+ (sqrt 1.0) (sqrt m)) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m))))))
49.0ms	(/ (+ (sqrt 1.0) (sqrt m)) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m)))))
2.0ms	(pow (sqrt m) 3)
7.0ms	(* (sqrt m) (sqrt m))

series9.7s

Counts

4 → 12

Calls

4 calls:

9.0s	(* (/ m (/ v (- (pow (sqrt 1.0) 3) (pow (sqrt m) 3)))) (/ (+ (sqrt 1.0) (sqrt m)) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m))))))
634.0ms	(/ (+ (sqrt 1.0) (sqrt m)) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m)))))
42.0ms	(pow (sqrt m) 3)
26.0ms	(* (sqrt m) (sqrt m))

simplify164.0ms

Algorithm

egg-herbie

Counts

655 → 655

Iterations

Useful iterations: 1 (51.0ms)

Iter	Nodes	Cost
0	2767	12711
1	5001	12389

prune1.6s

Filtered

655 candidates to 270 candidates (41.2%)

Pruning

5 alts after pruning (2 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	9	6
1	9	6

end0.0ms

sample691.0ms

Algorithm

intervals

Results

304.0ms	13666×	body	80	valid
172.0ms	13666×	pre	80	true