Details

sample31.0ms

Algorithm

intervals

Results

15.0ms	120×	pre	10240	exit
4.0ms	256×	body	80	valid
2.0ms	136×	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: 8.0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
7.5b	(- (/ x0 (- 1.0 x1)) x0)

rewrite17.0ms

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:

5.0ms	(/ x0 (- 1.0 x1))
10.0ms	(- (/ x0 (- 1.0 x1)) x0)

series81.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ x0 (- 1.0 x1))
46.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify93.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (20.0ms)

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

prune91.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 7.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
6.2b	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite30.0ms

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:

5.0ms	(/ x0 (- 1.0 x1))
5.0ms	(/ x0 (- 1.0 x1))
5.0ms	(/ x0 (- 1.0 x1))
11.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series187.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ x0 (- 1.0 x1))
40.0ms	(/ x0 (- 1.0 x1))
34.0ms	(/ x0 (- 1.0 x1))
77.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify156.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (28.0ms)

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

prune250.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.8b	(+ (/ x0 (- 1.0 x1)) x0)
0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
6.2b	(- (* (* x0 (/ 1 (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite36.0ms

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:

9.0ms	(+ (/ x0 (- 1.0 x1)) x0)
5.0ms	(/ x0 (- 1.0 x1))
5.0ms	(/ x0 (- 1.0 x1))
13.0ms	(- (* (* x0 (/ 1 (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 x0))

series191.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (/ x0 (- 1.0 x1)) x0)
35.0ms	(/ x0 (- 1.0 x1))
39.0ms	(/ x0 (- 1.0 x1))
77.0ms	(- (* (* 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

prune216.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.8b

localize27.0ms

Local error

Found 4 expressions with local error:

0.9b	(pow (* (* x0 (/ 1 (- 1.0 x1))) (/ x0 (- 1.0 x1))) 3)
1.0b	(pow (* x0 x0) 3)
1.3b	(pow (/ x0 (- 1.0 x1)) 3)
5.6b	(- (pow (* (* x0 (/ 1 (- 1.0 x1))) (/ x0 (- 1.0 x1))) 3) (pow (* x0 x0) 3))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log`
43×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`add-cbrt-cube`
30×	`times-frac`
25×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
19×	`pow1` `prod-exp`
15×	`pow-exp`
14×	`difference-of-squares`
11×	`cbrt-unprod` `rem-cube-cbrt`
10×	`pow-pow` `div-exp`
9×	`pow-unpow` `sqr-pow`
7×	`distribute-lft-out--`
6×	`cbrt-undiv` `cube-div` `add-log-exp`
4×	`pow-prod-down` `associate-/r/`
3×	`cube-mult` `pow-to-exp` `flip3--` `unpow3` `associate-*r/` `flip--`
2×	`frac-times` `rec-exp` `1-exp` `associate-*l/` `un-div-inv` `div-inv`
1×	`difference-cubes` `pow2` `sub-neg` `pow-plus` `diff-log` `pow-sqr` `pow-prod-up`

Counts

4 → 152

Calls

4 calls:

14.0ms	(pow (* (* x0 (/ 1 (- 1.0 x1))) (/ x0 (- 1.0 x1))) 3)
4.0ms	(pow (* x0 x0) 3)
11.0ms	(pow (/ x0 (- 1.0 x1)) 3)
8.0ms	(- (pow (* (* x0 (/ 1 (- 1.0 x1))) (/ x0 (- 1.0 x1))) 3) (pow (* x0 x0) 3))

series302.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(pow (* (* x0 (/ 1 (- 1.0 x1))) (/ x0 (- 1.0 x1))) 3)
42.0ms	(pow (* x0 x0) 3)
64.0ms	(pow (/ x0 (- 1.0 x1)) 3)
116.0ms	(- (pow (* (* x0 (/ 1 (- 1.0 x1))) (/ x0 (- 1.0 x1))) 3) (pow (* x0 x0) 3))

simplify149.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (131.0ms)

Iter	Nodes	Cost
0	822	1217
1	3811	943
2	5002	938

prune435.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 3.7b

regimes53.0ms

Accuracy

77.8% (0.3b remaining)

Error of 4.0b against oracle of 3.7b and baseline of 5.1b

bsearch1.0ms

Steps

Iters	Range		Point
0	0.9814	0.999791	0.9905955

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	62
1	57	62

end0.0ms

sample716.0ms

Algorithm

intervals

Results

387.0ms	4008×	pre	10240	exit
134.0ms	8000×	body	80	valid
61.0ms	3992×	pre	80	true