Details

sample295.0ms

Algorithm

intervals

Results

23.0ms	435×	body	80	valid
9.0ms	435×	pre	80	true

simplify128.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	72	5
3	188	5
4	406	5
5	636	5
6	938	5
7	1312	5
8	1969	5
9	2932	5
10	3912	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 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)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
39×	`prod-diff`
37×	`add-cube-cbrt`
15×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1` `associate-r` `associate-l`
7×	`fma-neg`
6×	`add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
3×	`sub-neg` `prod-exp` `associate-/r*` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
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 → 139

Calls

4 calls:

16.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
11.0ms	(* m (- 1.0 m))
11.0ms	(/ (* m (- 1.0 m)) v)
55.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series163.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
50.0ms	(* m (- 1.0 m))
39.0ms	(/ (* m (- 1.0 m)) v)
50.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify77.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	492	1130
1	2310	788
2	5002	775

prune232.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
15×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/l*`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`expm1-log1p-u` `associate-r` `associate-l` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`

Counts

3 → 70

Calls

3 calls:

9.0ms	(/ (- 1.0 m) v)
0.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))
3.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) m)

series110.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (- 1.0 m) v)
29.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))
48.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) m)

simplify156.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	270	495
1	918	437
2	4973	434
3	5001	434

prune183.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.2b	(fma (/ (- 1.0 m) v) m (- 1.0))
0.2b	(* (fma (/ (- 1.0 m) v) m (- 1.0)) (sqrt m))
0.4b	(* (* (fma (/ (- 1.0 m) v) m (- 1.0)) (sqrt m)) (sqrt m))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
19×	`add-cube-cbrt`
15×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
12×	`associate-r`
11×	`pow1`
7×	`sqrt-prod`
5×	`associate-/l*`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-/r*`
2×	`*-commutative` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

4 → 97

Calls

4 calls:

8.0ms	(/ (- 1.0 m) v)
0.0ms	(fma (/ (- 1.0 m) v) m (- 1.0))
4.0ms	(* (fma (/ (- 1.0 m) v) m (- 1.0)) (sqrt m))
11.0ms	(* (* (fma (/ (- 1.0 m) v) m (- 1.0)) (sqrt m)) (sqrt m))

series206.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (- 1.0 m) v)
29.0ms	(fma (/ (- 1.0 m) v) m (- 1.0))
82.0ms	(* (fma (/ (- 1.0 m) v) m (- 1.0)) (sqrt m))
58.0ms	(* (* (fma (/ (- 1.0 m) v) m (- 1.0)) (sqrt m)) (sqrt m))

simplify46.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	390	769
1	1417	664
2	5002	650

prune235.0ms

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))
0.3b	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
0.3b	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
0.4b	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 109

Calls

4 calls:

9.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
9.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
9.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
78.0ms	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))

series848.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
214.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
211.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
208.0ms	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))

simplify134.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	318	1637
1	986	1558
2	4675	1454
3	5001	1454

prune317.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes90.0ms

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	10	5
1	10	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

708.0ms	13732×	body	80	valid
266.0ms	13732×	pre	80	true