Details

sample275.0ms

Algorithm

intervals

Results

10.0ms	426×	body	80	valid
6.0ms	426×	pre	80	true

simplify128.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ (* 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:

22.0ms	(* m (- 1.0 m))
23.0ms	(/ (* m (- 1.0 m)) v)
89.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series121.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* m (- 1.0 m))
38.0ms	(/ (* m (- 1.0 m)) v)
41.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify65.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (53.0ms)

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

prune174.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 112

Calls

3 calls:

22.0ms	(* m (- 1.0 m))
133.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
37.0ms	(* (* m (- 1.0 m)) (/ 1 v))

series111.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* m (- 1.0 m))
32.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
36.0ms	(* (* m (- 1.0 m)) (/ 1 v))

simplify77.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	520	834
1	2712	629
2	5002	609

prune186.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.2b	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
0.3b	(/ (* m (- 1.0 m)) (sqrt v))
0.4b	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

rewrite280.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 198

Calls

4 calls:

22.0ms	(* m (- 1.0 m))
204.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
21.0ms	(/ (* m (- 1.0 m)) (sqrt v))
23.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

series186.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* m (- 1.0 m))
46.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
49.0ms	(/ (* m (- 1.0 m)) (sqrt v))
49.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

simplify110.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	776	1900
1	3766	1543
2	5002	1528

prune363.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (/ (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt (sqrt v))) (sqrt (sqrt v))) 1.0) m)
0.3b	(/ (* m (- 1.0 m)) (sqrt v))
0.3b	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt (sqrt v)))
0.4b	(/ (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt (sqrt v))) (sqrt (sqrt v)))

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

2463×	`times-frac`
2181×	`sqrt-prod`
987×	`add-sqr-sqrt`
940×	`*-un-lft-identity`
938×	`add-cube-cbrt`
113×	`div-inv`
105×	`associate-/l*`
34×	`add-exp-log` `add-cbrt-cube`
24×	`associate-/r*`
17×	`associate-l`
16×	`cbrt-undiv` `div-exp`
13×	`difference-of-squares`
6×	`pow1`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
3×	`frac-2neg` `associate-r` `clear-num`
2×	`flip3--` `associate-r/` `associate-l/` `flip--`
1×	`pow-prod-down` `*-commutative` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 1165

Calls

4 calls:

1.6s	(* (- (/ (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt (sqrt v))) (sqrt (sqrt v))) 1.0) m)
21.0ms	(/ (* m (- 1.0 m)) (sqrt v))
24.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt (sqrt v)))
61.0ms	(/ (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt (sqrt v))) (sqrt (sqrt v)))

series250.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (- (/ (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt (sqrt v))) (sqrt (sqrt v))) 1.0) m)
47.0ms	(/ (* m (- 1.0 m)) (sqrt v))
116.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt (sqrt v)))
42.0ms	(/ (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt (sqrt v))) (sqrt (sqrt v)))

simplify209.0ms

Algorithm

egg-herbie

Counts

1177 → 1177

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	2467	22379
1	5001	19966

prune1.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes60.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	8
1	12	8

end0.0ms

sample769.0ms

Algorithm

intervals

Results

298.0ms	13796×	body	80	valid
171.0ms	13796×	pre	80	true