Details

sample326.0ms

Algorithm

intervals

Results

11.0ms	468×	body	80	valid
6.0ms	468×	pre	80	true

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	67	5
3	169	5
4	345	5
5	466	5
6	670	5
7	1014	5
8	1528	5
9	2117	5
10	3037	5
11	5001	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
0.0b	(* m (- 1.0 m))
0.1b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt`
8×	`pow1` `associate-r` `associate-l`
6×	`add-log-exp`
4×	`flip3--` `associate-*r/` `flip--`
3×	`sub-neg` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `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 → 85

Calls

4 calls:

21.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
20.0ms	(* m (- 1.0 m))
16.0ms	(/ (* m (- 1.0 m)) v)
72.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series141.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
45.0ms	(* m (- 1.0 m))
33.0ms	(/ (* m (- 1.0 m)) v)
41.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify50.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	334	532
1	1558	477
2	5002	465

prune170.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite377.0ms

Algorithm

rewrite-expression-head

Rules

129×	`times-frac`
107×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
63×	`add-cube-cbrt`
21×	`associate-/r*`
18×	`difference-of-squares`
14×	`distribute-lft-out--`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r/`
7×	`associate-l`
6×	`flip3--` `flip--`
5×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-r` `associate-/l*`
2×	`associate-*l/`
1×	`sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 142

Calls

3 calls:

89.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
17.0ms	(/ m (/ v (- 1.0 m)))
265.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series88.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
33.0ms	(/ m (/ v (- 1.0 m)))
35.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify73.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	577	1213
1	2731	1164
2	5001	1162

prune309.0ms

Pruning

6 alts after pruning (5 fresh and 1 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)
0.2b	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
0.3b	(* m (/ (- 1.0 m) v))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

13.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
15.0ms	(/ (- 1.0 m) v)
50.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
26.0ms	(* m (/ (- 1.0 m) v))

series118.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
31.0ms	(/ (- 1.0 m) v)
31.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
36.0ms	(* m (/ (- 1.0 m) v))

simplify52.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	392	684
1	1724	626
2	5001	614

prune204.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

459×	`times-frac`
324×	`add-sqr-sqrt`
290×	`*-un-lft-identity`
212×	`add-cube-cbrt`
141×	`sqrt-prod`
134×	`associate-r`
39×	`distribute-lft-out--` `difference-of-squares`
28×	`associate-/r/`
21×	`associate-/r*`
20×	`add-exp-log` `add-cbrt-cube`
15×	`flip3--` `flip--` `div-inv`
11×	`unswap-sqr`
9×	`associate-l`
8×	`pow1`
6×	`cbrt-undiv` `div-exp` `associate-/l*` `add-log-exp`
4×	`prod-exp` `cbrt-unprod`
2×	`pow-prod-down` `associate-l/` `-commutative`
1×	`sub-neg` `frac-2neg` `diff-log` `associate-*r/` `clear-num`

Counts

4 → 363

Calls

4 calls:

25.0ms	(- (* (sqrt m) (/ (sqrt m) (/ v (- 1.0 m)))) 1.0)
96.0ms	(* (- (* (sqrt m) (/ (sqrt m) (/ v (- 1.0 m)))) 1.0) m)
20.0ms	(/ (sqrt m) (/ v (- 1.0 m)))
74.0ms	(* (sqrt m) (/ (sqrt m) (/ v (- 1.0 m))))

series217.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* (sqrt m) (/ (sqrt m) (/ v (- 1.0 m)))) 1.0)
46.0ms	(* (- (* (sqrt m) (/ (sqrt m) (/ v (- 1.0 m)))) 1.0) m)
70.0ms	(/ (sqrt m) (/ v (- 1.0 m)))
59.0ms	(* (sqrt m) (/ (sqrt m) (/ v (- 1.0 m))))

simplify58.0ms

Algorithm

egg-herbie

Counts

375 → 375

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1103	3649
1	5001	3357

prune671.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes45.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	5
1	9	5

end0.0ms

sample751.0ms

Algorithm

intervals

Results

303.0ms	13650×	body	80	valid
162.0ms	13650×	pre	80	true