Details

sample280.0ms

Algorithm

intervals

Results

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

simplify119.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize10.0ms

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)

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt`
8×	`associate-r` `associate-l`
7×	`pow1`
4×	`associate-*r/`
3×	`flip3--` `times-frac` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod` `add-log-exp`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `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 → 71

Calls

3 calls:

22.0ms	(* m (- 1.0 m))
15.0ms	(/ (* m (- 1.0 m)) v)
77.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series116.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* m (- 1.0 m))
36.0ms	(/ (* m (- 1.0 m)) v)
40.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify47.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	310	409
1	1511	363
2	5001	357

prune141.0ms

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

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

Counts

3 → 88

Calls

3 calls:

20.0ms	(* m (- 1.0 m))
135.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
39.0ms	(* (* m (- 1.0 m)) (/ 1 v))

series110.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* m (- 1.0 m))
31.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
36.0ms	(* (* m (- 1.0 m)) (/ 1 v))

simplify62.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	435	556
1	2325	478
2	5001	460

prune155.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite281.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 172

Calls

4 calls:

20.0ms	(* m (- 1.0 m))
212.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
19.0ms	(/ (* m (- 1.0 m)) (sqrt v))
20.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

series174.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* m (- 1.0 m))
39.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
51.0ms	(/ (* m (- 1.0 m)) (sqrt v))
42.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

simplify85.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	682	1603
1	3195	1370
2	5002	1360

prune313.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite1.9s

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×	`prod-exp` `cbrt-unprod` `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 → 1157

Calls

4 calls:

1.7s	(* (- (/ (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt (sqrt v))) (sqrt (sqrt v))) 1.0) m)
17.0ms	(/ (* m (- 1.0 m)) (sqrt v))
25.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt (sqrt v)))
63.0ms	(/ (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt (sqrt v))) (sqrt (sqrt v)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (- (/ (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt (sqrt v))) (sqrt (sqrt v))) 1.0) m)
48.0ms	(/ (* m (- 1.0 m)) (sqrt v))
107.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt (sqrt v)))
41.0ms	(/ (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt (sqrt v))) (sqrt (sqrt v)))

simplify217.0ms

Algorithm

egg-herbie

Counts

1169 → 1169

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	2442	22309
1	5001	19893

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes52.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	8
1	12	8

end0.0ms

sample767.0ms

Algorithm

intervals

Results

313.0ms	13796×	body	80	valid
161.0ms	13796×	pre	80	true