Details

sample313.0ms

Algorithm

intervals

Results

27.0ms	432×	body	80	valid
11.0ms	432×	pre	80	true

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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))

rewrite83.0ms

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:

10.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
10.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
53.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series153.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
47.0ms	(* m (- 1.0 m))
36.0ms	(/ (* m (- 1.0 m)) v)
48.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify59.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (50.0ms)

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

prune199.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

9.0ms	(* v (+ 1.0 m))
10.0ms	(* m (- (* 1.0 1.0) (* m m)))
65.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
10.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* v (+ 1.0 m))
70.0ms	(* m (- (* 1.0 1.0) (* m m)))
62.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
71.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))

simplify99.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	574	1110
1	3496	973
2	5001	973

prune247.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* m (/ (- 1.0 m) v)) 1.0)
0.0b	(/ (- 1.0 m) v)
0.1b	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
0.3b	(* m (/ (- 1.0 m) v))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
31×	`times-frac`
26×	`add-cube-cbrt`
24×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
6×	`associate-l` `add-log-exp`
5×	`associate-/l*`
4×	`frac-times`
3×	`sub-neg` `associate-r/` `prod-exp` `associate-/r` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `associate-/l/`
1×	`frac-2neg` `diff-log` `div-sub` `clear-num`

Counts

4 → 120

Calls

4 calls:

6.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
7.0ms	(/ (- 1.0 m) v)
30.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
17.0ms	(* m (/ (- 1.0 m) v))

series130.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
31.0ms	(/ (- 1.0 m) v)
34.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
39.0ms	(* m (/ (- 1.0 m) v))

simplify66.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	465	875
1	2224	812
2	5002	800

prune246.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
0.3b	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
0.3b	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
0.3b	(* (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))) (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

168×	`cbrt-div`
148×	`frac-times`
126×	`flip3--` `flip--`
50×	`associate-r/` `associate-l/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 162

Calls

4 calls:

12.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
14.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
12.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
29.0ms	(* (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))) (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))))

series576.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
139.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
135.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
162.0ms	(* (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))) (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))))

simplify81.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	547	4692
1	1673	4585
2	5001	4515

prune558.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.0b 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	10	6
1	10	6

end0.0ms

sample1.4s

Algorithm

intervals

Results

828.0ms	13750×	body	80	valid
318.0ms	13750×	pre	80	true