Details

sample283.0ms

Algorithm

intervals

Results

11.0ms	426×	body	80	valid
7.0ms	426×	pre	80	true

simplify115.0ms

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 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)

rewrite75.0ms

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:

9.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
18.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
37.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series151.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
44.0ms	(* m (- 1.0 m))
40.0ms	(/ (* m (- 1.0 m)) v)
44.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify50.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (40.0ms)

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

prune176.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

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))

rewrite55.0ms

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)
31.0ms	(/ (- 1.0 m) v)
37.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
36.0ms	(* m (/ (- 1.0 m) v))

simplify52.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (43.0ms)

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

prune220.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
0.2b	(/ (* m (- 1.0 m)) (sqrt v))
0.4b	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

rewrite185.0ms

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:

10.0ms	(* m (- 1.0 m))
152.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
7.0ms	(/ (* m (- 1.0 m)) (sqrt v))
10.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

series189.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* m (- 1.0 m))
45.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
55.0ms	(/ (* m (- 1.0 m)) (sqrt v))
46.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

simplify82.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (67.0ms)

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

prune327.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

205×	`add-sqr-sqrt`
197×	`*-un-lft-identity`
195×	`sqrt-prod`
170×	`times-frac`
93×	`add-cube-cbrt`
92×	`associate-r`
52×	`difference-of-squares`
34×	`add-exp-log` `add-cbrt-cube`
26×	`distribute-lft-out` `distribute-lft-out--`
14×	`associate-/l*`
12×	`prod-exp` `associate-/r*` `cbrt-unprod`
11×	`pow1`
8×	`cbrt-undiv` `div-exp`
4×	`associate-r/` `associate-l*` `pow-prod-down` `div-inv` `associate-/l/` `add-log-exp`
3×	`unswap-sqr`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`frac-times` `flip3--` `flip3-+` `div-sub` `associate-*l/` `flip--` `flip-+`

Counts

4 → 277

Calls

4 calls:

32.0ms	(* m (/ (+ (sqrt 1.0) (sqrt m)) (sqrt v)))
17.0ms	(/ (- (sqrt 1.0) (sqrt m)) (sqrt v))
17.0ms	(/ (+ (sqrt 1.0) (sqrt m)) (sqrt v))
63.0ms	(* (* m (/ (+ (sqrt 1.0) (sqrt m)) (sqrt v))) (/ (- (sqrt 1.0) (sqrt m)) (sqrt v)))

series725.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* m (/ (+ (sqrt 1.0) (sqrt m)) (sqrt v)))
123.0ms	(/ (- (sqrt 1.0) (sqrt m)) (sqrt v))
114.0ms	(/ (+ (sqrt 1.0) (sqrt m)) (sqrt v))
351.0ms	(* (* m (/ (+ (sqrt 1.0) (sqrt m)) (sqrt v))) (/ (- (sqrt 1.0) (sqrt m)) (sqrt v)))

simplify60.0ms

Algorithm

egg-herbie

Counts

289 → 289

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1049	3374
1	5002	3097

prune649.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes95.0ms

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

sample781.0ms

Algorithm

intervals

Results

341.0ms	13668×	body	80	valid
207.0ms	13668×	pre	80	true