Details

sample318.0ms

Algorithm

intervals

Results

10.0ms	408×	body	80	valid
5.0ms	408×	pre	80	true

simplify126.0ms

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

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

24.0ms	(* m (- 1.0 m))
21.0ms	(/ (* m (- 1.0 m)) v)
88.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series134.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* m (- 1.0 m))
42.0ms	(/ (* m (- 1.0 m)) v)
46.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify57.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	394	683
1	1939	511
2	5001	505

prune160.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(/ v (* m (- 1.0 m)))
0.2b	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
0.2b	(/ 1 (/ v (* m (- 1.0 m))))

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
44×	`times-frac`
40×	`add-cube-cbrt`
34×	`add-exp-log`
22×	`add-cbrt-cube`
18×	`prod-diff`
14×	`div-exp`
12×	`associate-*r/`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `associate-/r/`
10×	`associate-/r*`
9×	`pow1`
8×	`associate-r`
7×	`cbrt-undiv` `flip3--` `flip--` `div-inv`
6×	`prod-exp` `associate-/l*`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`rec-exp` `1-exp` `distribute-lft-out--`
2×	`sub-neg` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 164

Calls

4 calls:

23.0ms	(* m (- 1.0 m))
11.0ms	(/ v (* m (- 1.0 m)))
195.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
25.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series188.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* m (- 1.0 m))
41.0ms	(/ v (* m (- 1.0 m)))
52.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
47.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify83.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	610	1242
1	3104	955
2	5002	942

prune256.0ms

Pruning

8 alts after pruning (6 fresh and 2 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)
0.5b	(* m (/ (- 1.0 m) v))

rewrite97.0ms

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×	`expm1-log1p-u` `prod-exp` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `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 → 102

Calls

3 calls:

18.0ms	(/ (- 1.0 m) v)
48.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
28.0ms	(* m (/ (- 1.0 m) v))

series110.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (- 1.0 m) v)
39.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
38.0ms	(* m (/ (- 1.0 m) v))

simplify49.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	384	599
1	1676	549
2	5003	543

prune205.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (fma 1.0 1.0 (fma m m (* 1.0 m))) v)
0.1b	(/ (- (pow 1.0 3) (pow m 3)) (* (fma 1.0 1.0 (fma m m (* 1.0 m))) v))
0.2b	(* (- (* m (/ (- (pow 1.0 3) (pow m 3)) (* (fma 1.0 1.0 (fma m m (* 1.0 m))) v))) 1.0) m)
0.5b	(* m (/ (- (pow 1.0 3) (pow m 3)) (* (fma 1.0 1.0 (fma m m (* 1.0 m))) v)))

rewrite317.0ms

Algorithm

rewrite-expression-head

Rules

91×	`add-sqr-sqrt`
50×	`times-frac`
48×	`difference-of-squares`
43×	`*-un-lft-identity`
36×	`unpow-prod-down` `cube-prod`
35×	`associate-r`
25×	`associate-/l*`
24×	`sqr-pow`
22×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-lft-out--`
13×	`add-cube-cbrt`
10×	`pow1`
9×	`associate-l`
7×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`difference-cubes` `pow-prod-down` `*-commutative` `unswap-sqr`
2×	`flip3--` `associate-*l/` `flip--` `div-inv` `associate-/l/`
1×	`frac-2neg` `div-sub` `associate-r/` `clear-num` `associate-/r`

Counts

4 → 163

Calls

4 calls:

7.0ms	(* (fma 1.0 1.0 (fma m m (* 1.0 m))) v)
81.0ms	(/ (- (pow 1.0 3) (pow m 3)) (* (fma 1.0 1.0 (fma m m (* 1.0 m))) v))
128.0ms	(* (- (* m (/ (- (pow 1.0 3) (pow m 3)) (* (fma 1.0 1.0 (fma m m (* 1.0 m))) v))) 1.0) m)
94.0ms	(* m (/ (- (pow 1.0 3) (pow m 3)) (* (fma 1.0 1.0 (fma m m (* 1.0 m))) v)))

series361.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (fma 1.0 1.0 (fma m m (* 1.0 m))) v)
90.0ms	(/ (- (pow 1.0 3) (pow m 3)) (* (fma 1.0 1.0 (fma m m (* 1.0 m))) v))
109.0ms	(* (- (* m (/ (- (pow 1.0 3) (pow m 3)) (* (fma 1.0 1.0 (fma m m (* 1.0 m))) v))) 1.0) m)
120.0ms	(* m (/ (- (pow 1.0 3) (pow m 3)) (* (fma 1.0 1.0 (fma m m (* 1.0 m))) v)))

simplify98.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	628	1818
1	3103	1626
2	5001	1623

prune436.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes87.0ms

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

sample734.0ms

Algorithm

intervals

Results

299.0ms	13558×	body	80	valid
158.0ms	13558×	pre	80	true