Details

sample276.0ms

Algorithm

intervals

Results

11.0ms	450×	body	80	valid
6.0ms	450×	pre	80	true

simplify117.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`add-exp-log` `add-cbrt-cube`
8×	`*-un-lft-identity`
6×	`add-cube-cbrt`
5×	`associate-l`
4×	`pow1`
3×	`times-frac` `associate-r` `associate-/r*`
2×	`cbrt-undiv` `flip3--` `associate-r/` `div-exp` `associate-l/` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 45

Calls

2 calls:

7.0ms	(/ (* m (- 1.0 m)) v)
13.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series92.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (* m (- 1.0 m)) v)
54.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify34.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	261	309
1	1167	275
2	5001	269

prune101.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 96

Calls

3 calls:

6.0ms	(/ (- 1.0 m) v)
9.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
9.0ms	(* m (/ (- 1.0 m) v))

series110.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (- 1.0 m) v)
35.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
40.0ms	(* m (/ (- 1.0 m) v))

simplify50.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	370	577
1	1676	528
2	5001	522

prune189.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (* m (- 1.0 m)))
0.2b	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
0.3b	(/ 1 (/ v (* m (- 1.0 m))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

44×	`times-frac`
34×	`add-sqr-sqrt`
31×	`add-exp-log`
29×	`*-un-lft-identity`
25×	`add-cube-cbrt`
19×	`add-cbrt-cube`
14×	`div-exp`
11×	`associate-/r/`
10×	`associate-r/` `associate-/r`
8×	`associate-l`
7×	`cbrt-undiv` `div-inv`
6×	`pow1` `flip3--` `flip--` `associate-/l*`
5×	`prod-exp`
3×	`rec-exp` `1-exp` `associate-r` `cbrt-unprod` `add-log-exp` `difference-of-squares`
2×	`frac-2neg` `associate-*l/` `clear-num` `distribute-lft-out--`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`

Counts

3 → 112

Calls

3 calls:

6.0ms	(/ v (* m (- 1.0 m)))
19.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
9.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series138.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ v (* m (- 1.0 m)))
47.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
47.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify61.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	485	856
1	2423	711
2	5002	697

prune182.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

17.0ms	(* (cbrt (- (* m (/ (- 1.0 m) v)) 1.0)) (cbrt (- (* m (/ (- 1.0 m) v)) 1.0)))
7.0ms	(cbrt (- (* m (/ (- 1.0 m) v)) 1.0))
7.0ms	(cbrt (- (* m (/ (- 1.0 m) v)) 1.0))
7.0ms	(cbrt (- (* m (/ (- 1.0 m) v)) 1.0))

series831.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt (- (* m (/ (- 1.0 m) v)) 1.0)) (cbrt (- (* m (/ (- 1.0 m) v)) 1.0)))
209.0ms	(cbrt (- (* m (/ (- 1.0 m) v)) 1.0))
206.0ms	(cbrt (- (* m (/ (- 1.0 m) v)) 1.0))
212.0ms	(cbrt (- (* m (/ (- 1.0 m) v)) 1.0))

simplify131.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (118.0ms)

Iter	Nodes	Cost
0	295	1401
1	925	1322
2	4490	1251
3	5001	1244

prune261.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes58.0ms

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	14	6
1	14	6

end0.0ms

sample697.0ms

Algorithm

intervals

Results

315.0ms	13696×	body	80	valid
171.0ms	13696×	pre	80	true