Details

sample27.0ms

Algorithm

intervals

Results

11.0ms	122×	pre	10240	exit
4.0ms	256×	body	80	valid
2.0ms	134×	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: 7.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
7.0b	(- (/ x0 (- 1.0 x1)) x0)

rewrite66.0ms

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:

13.0ms	(/ x0 (- 1.0 x1))
52.0ms	(- (/ x0 (- 1.0 x1)) x0)

series71.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ x0 (- 1.0 x1))
40.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify93.0ms

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

prune80.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.5b

localize9.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
0.7b	(/ x0 (- 1.0 x1))
0.8b	(+ (/ x0 (- 1.0 x1)) x0)
6.0b	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
30×	`times-frac`
24×	`add-cube-cbrt`
10×	`associate-/r*`
9×	`difference-of-squares`
8×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp`
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 → 99

Calls

4 calls:

11.0ms	(/ x0 (- 1.0 x1))
10.0ms	(/ x0 (- 1.0 x1))
40.0ms	(+ (/ x0 (- 1.0 x1)) x0)
21.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series161.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ x0 (- 1.0 x1))
31.0ms	(/ x0 (- 1.0 x1))
34.0ms	(+ (/ x0 (- 1.0 x1)) x0)
66.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify38.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	341	684
1	1318	641
2	5001	638

prune181.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
0.7b	(/ x0 (- 1.0 x1))
0.8b	(+ (/ x0 (- 1.0 x1)) x0)
6.0b	(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

rewrite109.0ms

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:

10.0ms	(/ x0 (- 1.0 x1))
10.0ms	(/ x0 (- 1.0 x1))
39.0ms	(+ (/ x0 (- 1.0 x1)) x0)
47.0ms	(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

series164.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ x0 (- 1.0 x1))
35.0ms	(/ x0 (- 1.0 x1))
32.0ms	(+ (/ x0 (- 1.0 x1)) x0)
67.0ms	(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

simplify42.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	358	705
1	1431	666
2	5001	645

prune197.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.9b	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
0.9b	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
0.9b	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
6.0b	(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 54

Calls

4 calls:

25.0ms	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
25.0ms	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
24.0ms	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
47.0ms	(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

series441.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
121.0ms	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
123.0ms	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
69.0ms	(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

simplify38.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	319	735
1	1173	672
2	5002	629

prune182.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.5b

regimes62.0ms

Accuracy

0% (0.9b remaining)

Error of 5.7b against oracle of 4.7b and baseline of 5.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	25
1	24	25

end0.0ms

sample688.0ms

Algorithm

intervals

Results

329.0ms	3928×	pre	10240	exit
130.0ms	8000×	body	80	valid
55.0ms	4072×	pre	80	true