Details

sample28.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
4.0ms	256×	pre	80	false
4.0ms	256×	pre	80	true

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	12	3
2	12	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize4.0ms

Local error

Found 2 expressions with local error:

1.0b	(/ x0 (- 1.0 x1))
7.5b	(- (/ x0 (- 1.0 x1)) x0)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
16×	`times-frac`
12×	`add-cube-cbrt`
6×	`difference-of-squares`
5×	`associate-/r*` `distribute-lft-out--`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 52

Calls

2 calls:

6.0ms	(/ x0 (- 1.0 x1))
12.0ms	(- (/ x0 (- 1.0 x1)) x0)

series77.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ x0 (- 1.0 x1))
44.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify91.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	244	328
1	801	315
2	3123	310
3	5001	310

prune82.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.3b

localize9.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ x0 (- 1.0 x1))
1.0b	(/ x0 (- 1.0 x1))
1.0b	(/ x0 (- 1.0 x1))
6.7b	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
34×	`add-cube-cbrt`
15×	`associate-/r*`
13×	`difference-of-squares`
12×	`distribute-lft-out--`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `flip3--` `flip--`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`sub-neg` `diff-log`

Counts

4 → 124

Calls

4 calls:

6.0ms	(/ x0 (- 1.0 x1))
6.0ms	(/ x0 (- 1.0 x1))
6.0ms	(/ x0 (- 1.0 x1))
15.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series174.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ x0 (- 1.0 x1))
36.0ms	(/ x0 (- 1.0 x1))
33.0ms	(/ x0 (- 1.0 x1))
72.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify158.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	288	828
1	1116	773
2	4811	759
3	5001	759

prune237.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (/ x0 (- 1.0 x1)) x0)
1.0b	(/ x0 (- 1.0 x1))
1.0b	(/ x0 (- 1.0 x1))
6.7b	(- (* (* x0 (/ 1 (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
30×	`times-frac`
24×	`add-cube-cbrt`
10×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
6×	`associate-/l*`
4×	`pow1` `associate-/r/`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 98

Calls

4 calls:

11.0ms	(+ (/ x0 (- 1.0 x1)) x0)
6.0ms	(/ x0 (- 1.0 x1))
6.0ms	(/ x0 (- 1.0 x1))
14.0ms	(- (* (* x0 (/ 1 (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 x0))

series177.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (/ x0 (- 1.0 x1)) x0)
33.0ms	(/ x0 (- 1.0 x1))
35.0ms	(/ x0 (- 1.0 x1))
72.0ms	(- (* (* x0 (/ 1 (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify43.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	360	705
1	1440	666
2	5001	648

prune203.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.7b

localize26.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ x0 (- 1.0 x1))
1.0b	(pow (* x0 x0) 3)
1.3b	(pow (/ x0 (- 1.0 x1)) 3)
6.1b	(- (pow (* (* x0 (/ 1 (- 1.0 x1))) (/ x0 (- 1.0 x1))) 3) (pow (* x0 x0) 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
45×	`times-frac`
34×	`add-cube-cbrt`
24×	`unpow-prod-down` `cube-prod`
18×	`difference-of-squares`
13×	`pow1`
12×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-lft-out--`
8×	`sqr-pow`
7×	`pow-pow`
6×	`pow-unpow` `associate-/r/` `add-log-exp`
5×	`associate-/r*`
4×	`flip3--` `pow-exp` `flip--` `rem-cube-cbrt`
3×	`div-inv` `associate-/l*`
2×	`cbrt-undiv` `cube-mult` `pow-to-exp` `unpow3` `div-exp`
1×	`difference-cubes` `cube-div` `pow2` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `pow-prod-down` `prod-exp` `clear-num` `pow-sqr` `pow-prod-up` `cbrt-unprod`

Counts

4 → 147

Calls

4 calls:

6.0ms	(/ x0 (- 1.0 x1))
6.0ms	(pow (* x0 x0) 3)
8.0ms	(pow (/ x0 (- 1.0 x1)) 3)
9.0ms	(- (pow (* (* x0 (/ 1 (- 1.0 x1))) (/ x0 (- 1.0 x1))) 3) (pow (* x0 x0) 3))

series234.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ x0 (- 1.0 x1))
38.0ms	(pow (* x0 x0) 3)
56.0ms	(pow (/ x0 (- 1.0 x1)) 3)
105.0ms	(- (pow (* (* x0 (/ 1 (- 1.0 x1))) (/ x0 (- 1.0 x1))) 3) (pow (* x0 x0) 3))

simplify105.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	702	1128
1	3440	1027
2	5001	1016

prune441.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.3b

regimes55.0ms

Accuracy

0% (0.4b remaining)

Error of 5.7b against oracle of 5.3b and baseline of 5.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	50
1	46	50

end0.0ms

sample608.0ms

Algorithm

intervals

Results

131.0ms	8000×	body	80	valid
122.0ms	7973×	pre	80	false
116.0ms	8000×	pre	80	true