Details

sample288.0ms

Algorithm

intervals

Results

10.0ms	410×	body	80	valid
6.0ms	410×	pre	80	true

simplify129.0ms

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

rewrite98.0ms

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))
10.0ms	(/ (* m (- 1.0 m)) v)
55.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series155.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
48.0ms	(* m (- 1.0 m))
36.0ms	(/ (* m (- 1.0 m)) v)
48.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify77.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (63.0ms)

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

prune231.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

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:

8.0ms	(/ (- 1.0 m) v)
3.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) m)
0.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))

series105.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (- 1.0 m) v)
44.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) m)
30.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))

simplify160.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (27.0ms)

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: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

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))
5.0ms	(* (fma (/ (- 1.0 m) v) m (- 1.0)) (sqrt m))
11.0ms	(* (* (fma (/ (- 1.0 m) v) m (- 1.0)) (sqrt m)) (sqrt m))

series193.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (- 1.0 m) v)
28.0ms	(fma (/ (- 1.0 m) v) m (- 1.0))
78.0ms	(* (fma (/ (- 1.0 m) v) m (- 1.0)) (sqrt m))
55.0ms	(* (* (fma (/ (- 1.0 m) v) m (- 1.0)) (sqrt m)) (sqrt m))

simplify50.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (37.0ms)

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

prune231.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1.0 (/ (pow m 2) v) (- (fma 1.0 m (/ (pow m 3) v))))
6.5b	(/ (pow m 3) v)
15.7b	(/ (pow m 2) v)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
45×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
20×	`associate-/l*`
13×	`add-exp-log`
12×	`cube-prod`
8×	`sqr-pow`
7×	`add-cbrt-cube`
6×	`div-exp` `associate-/r*`
4×	`cube-mult` `unpow3` `unpow2`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `div-inv`
1×	`fma-udef`

Counts

3 → 128

Calls

3 calls:

0.0ms	(fma 1.0 (/ (pow m 2) v) (- (fma 1.0 m (/ (pow m 3) v))))
5.0ms	(/ (pow m 3) v)
4.0ms	(/ (pow m 2) v)

series80.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(fma 1.0 (/ (pow m 2) v) (- (fma 1.0 m (/ (pow m 3) v))))
21.0ms	(/ (pow m 3) v)
18.0ms	(/ (pow m 2) v)

simplify57.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	330	660
1	1571	600
2	5001	579

prune291.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	8
1	17	8
2	17	8

end0.0ms

sample715.0ms

Algorithm

intervals

Results

313.0ms	13816×	body	80	valid
184.0ms	13816×	pre	80	true