Details

sample285.0ms

Algorithm

intervals

Results

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

simplify116.0ms

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

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)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt`
8×	`pow1` `associate-r` `associate-l`
6×	`add-log-exp`
4×	`flip3--` `associate-*r/` `flip--`
3×	`sub-neg` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 85

Calls

4 calls:

10.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
19.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
38.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series153.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
44.0ms	(* m (- 1.0 m))
41.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify52.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	334	532
1	1558	477
2	5002	465

prune175.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* m (/ (- 1.0 m) v)) 1.0)
0.0b	(/ (- 1.0 m) v)
0.1b	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
0.3b	(* m (/ (- 1.0 m) v))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
31×	`times-frac`
26×	`add-cube-cbrt`
22×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-l` `add-log-exp`
5×	`associate-/l*`
3×	`flip3--` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-*r/` `clear-num`

Counts

4 → 108

Calls

4 calls:

6.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
7.0ms	(/ (- 1.0 m) v)
25.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
15.0ms	(* m (/ (- 1.0 m) v))

series128.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
32.0ms	(/ (- 1.0 m) v)
37.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
37.0ms	(* m (/ (- 1.0 m) v))

simplify54.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	392	684
1	1724	626
2	5001	614

prune219.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.1b	(* (- (* (sqrt m) (* (sqrt m) (/ (- 1.0 m) v))) 1.0) m)
0.3b	(* (sqrt m) (/ (- 1.0 m) v))
0.3b	(* (sqrt m) (* (sqrt m) (/ (- 1.0 m) v)))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
32×	`times-frac`
29×	`add-cube-cbrt`
23×	`associate-r`
22×	`add-exp-log` `add-cbrt-cube`
15×	`associate-l`
13×	`pow1`
8×	`prod-exp` `sqrt-prod` `cbrt-unprod`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow-prod-down` `associate-/l*` `unswap-sqr`
4×	`add-log-exp`
3×	`cbrt-undiv` `associate-r/` `div-exp` `associate-/r` `*-commutative`
2×	`flip3--` `associate-*l/` `flip--` `div-inv` `associate-/l/`
1×	`frac-2neg` `div-sub` `clear-num`

Counts

4 → 125

Calls

4 calls:

8.0ms	(/ (- 1.0 m) v)
78.0ms	(* (- (* (sqrt m) (* (sqrt m) (/ (- 1.0 m) v))) 1.0) m)
17.0ms	(* (sqrt m) (/ (- 1.0 m) v))
20.0ms	(* (sqrt m) (* (sqrt m) (/ (- 1.0 m) v)))

series224.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (- 1.0 m) v)
55.0ms	(* (- (* (sqrt m) (* (sqrt m) (/ (- 1.0 m) v))) 1.0) m)
78.0ms	(* (sqrt m) (/ (- 1.0 m) v))
58.0ms	(* (sqrt m) (* (sqrt m) (/ (- 1.0 m) v)))

simplify67.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	501	935
1	2292	796
2	5001	793

prune285.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
31×	`times-frac`
29×	`add-cube-cbrt`
28×	`associate-r`
18×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
10×	`associate-l`
7×	`sqrt-prod` `distribute-lft-out--` `difference-of-squares`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-r/` `pow-prod-down` `associate-/l`
4×	`add-log-exp` `unswap-sqr`
3×	`associate-/r` `-commutative`
2×	`cbrt-undiv` `flip3-+` `div-exp` `associate-*l/` `flip-+` `div-inv` `associate-/l/`
1×	`distribute-rgt-in` `flip3--` `frac-2neg` `distribute-lft-in` `div-sub` `clear-num` `flip--`

Counts

4 → 125

Calls

4 calls:

7.0ms	(/ (- 1.0 m) v)
32.0ms	(* (sqrt m) (+ (* m (/ (- 1.0 m) v)) (- 1.0)))
17.0ms	(* m (/ (- 1.0 m) v))
41.0ms	(* (* (sqrt m) (+ (* m (/ (- 1.0 m) v)) (- 1.0))) (sqrt m))

series195.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (- 1.0 m) v)
77.0ms	(* (sqrt m) (+ (* m (/ (- 1.0 m) v)) (- 1.0)))
36.0ms	(* m (/ (- 1.0 m) v))
51.0ms	(* (* (sqrt m) (+ (* m (/ (- 1.0 m) v)) (- 1.0))) (sqrt m))

simplify83.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	548	982
1	2776	845
2	5001	822

prune271.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.2b 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	10	5
1	10	5

end0.0ms

sample726.0ms

Algorithm

intervals

Results

312.0ms	13816×	body	80	valid
183.0ms	13816×	pre	80	true