Details

sample14.0ms

Algorithm

intervals

Results

5.0ms

296×

body

valid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	19	3
2	43	3
3	55	3
4	59	3
5	67	3
6	87	3
7	123	3
8	198	3
9	381	3
10	454	3
11	629	3
12	889	3
13	1260	3
14	1684	3
15	2354	3
16	5002	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (+ x 1.0) y) x)
0.0b	(* (+ x 1.0) y)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

15.0ms	(- (* (+ x 1.0) y) x)
20.0ms	(* (+ x 1.0) y)

series43.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(- (* (+ x 1.0) y) x)
25.0ms	(* (+ x 1.0) y)

simplify65.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	149	159
1	616	147
2	3110	145
3	5001	145

prune63.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y)))
0.6b	(cbrt (* (+ x 1.0) y))
0.6b	(cbrt (* (+ x 1.0) y))
0.6b	(cbrt (* (+ x 1.0) y))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

22.0ms	(* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y)))
7.0ms	(cbrt (* (+ x 1.0) y))
7.0ms	(cbrt (* (+ x 1.0) y))
7.0ms	(cbrt (* (+ x 1.0) y))

series392.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y)))
91.0ms	(cbrt (* (+ x 1.0) y))
96.0ms	(cbrt (* (+ x 1.0) y))
92.0ms	(cbrt (* (+ x 1.0) y))

simplify40.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	367	875
1	1215	815
2	5001	748

prune264.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
0.0b	(- (* x x) (* 1.0 1.0))
2.2b	(* (- (* x x) (* 1.0 1.0)) y)
6.8b	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

51.0ms	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
10.0ms	(- (* x x) (* 1.0 1.0))
26.0ms	(* (- (* x x) (* 1.0 1.0)) y)
25.0ms	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

series168.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
35.0ms	(- (* x x) (* 1.0 1.0))
40.0ms	(* (- (* x x) (* 1.0 1.0)) y)
55.0ms	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	354	642
1	1674	571
2	5001	562

prune164.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample351.0ms

Algorithm

intervals

Results

156.0ms	9256×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid