Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

313×

body

valid

simplify180.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	31	3
3	46	3
4	53	3
5	62	3
6	80	3
7	118	3
8	235	3
9	467	3
10	832	3
11	1210	3
12	1782	3
13	3401	3
14	5001	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `distribute-lft-out`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

8.0ms	(+ x (* y (- z x)))
8.0ms	(* y (- z x))

series79.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ x (* y (- z x)))
48.0ms	(* y (- z x))

simplify82.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	167	186
1	718	171
2	3436	171
3	5001	171

prune56.0ms

Filtered

49 candidates to 29 candidates (59.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	5	50

Merged error: 0b

Counts

50 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
17×	`distribute-lft-out`
10×	`associate-l`
9×	`add-log-exp`
4×	`sum-log`
3×	`+-commutative` `distribute-rgt-neg-in`
2×	`pow1` `add-exp-log` `distribute-lft-neg-out` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`unsub-neg`

Counts

2 → 38

Calls

2 calls:

14.0ms	(+ (+ x (* z y)) (* (- x) y))
8.0ms	(+ x (* z y))

series57.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (+ x (* z y)) (* (- x) y))
27.0ms	(+ x (* z y))

simplify81.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	161	215
1	632	196
2	2902	192
3	5003	177

prune50.0ms

Filtered

44 candidates to 25 candidates (56.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	44	5	49

Merged error: 0b

Counts

49 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* z y))
0.3b	(* (* z y) (* z y))
1.3b	(- (* x x) (* (* z y) (* z y)))
26.1b	(/ (- (* x x) (* (* z y) (* z y))) (- x (* z y)))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

1663×	`add-sqr-sqrt`
603×	`unswap-sqr`
579×	`*-un-lft-identity`
525×	`difference-of-squares`
406×	`times-frac`
257×	`swap-sqr`
210×	`distribute-lft-out--`
203×	`associate-l`
131×	`*-commutative`
83×	`add-cube-cbrt`
58×	`associate-/l*`
43×	`pow1`
24×	`associate-r`
18×	`add-exp-log` `add-cbrt-cube`
17×	`pow-prod-down`
8×	`prod-exp` `cbrt-unprod` `add-log-exp`
7×	`associate-/r*`
4×	`flip3--` `pow-sqr` `pow-prod-up` `flip--`
2×	`sub-neg` `pow-plus` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 644

Calls

4 calls:

6.0ms	(- x (* z y))
16.0ms	(* (* z y) (* z y))
36.0ms	(- (* x x) (* (* z y) (* z y)))
58.0ms	(/ (- (* x x) (* (* z y) (* z y))) (- x (* z y)))

series217.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- x (* z y))
35.0ms	(* (* z y) (* z y))
78.0ms	(- (* x x) (* (* z y) (* z y)))
72.0ms	(/ (- (* x x) (* (* z y) (* z y))) (- x (* z y)))

simplify232.0ms

Algorithm

egg-herbie

Counts

656 → 656

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1028	6947
1	4985	6573
2	5003	6573

prune369.0ms

Filtered

656 candidates to 151 candidates (23.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	655	1	656
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	657	4	661

Merged error: 0b

Counts

661 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (- x (* z y)))
0.3b	(* (* z y) (* z y))
1.3b	(- (* x x) (* (* z y) (* z y)))
26.1b	(* (- (* x x) (* (* z y) (* z y))) (/ 1 (- x (* z y))))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

403×	`add-sqr-sqrt`
148×	`*-un-lft-identity`
143×	`unswap-sqr`
120×	`associate-l`
110×	`difference-of-squares`
68×	`swap-sqr`
51×	`associate-r`
46×	`pow1` `add-cube-cbrt`
44×	`times-frac`
40×	`distribute-lft-out--`
34×	`*-commutative`
29×	`add-exp-log`
28×	`associate-/r*`
26×	`frac-times`
23×	`add-cbrt-cube`
18×	`pow-prod-down`
17×	`flip3--` `flip--`
13×	`associate-r/` `associate-/l`
12×	`prod-exp`
10×	`cbrt-unprod`
6×	`add-log-exp`
5×	`clear-num`
4×	`frac-2neg` `div-exp` `associate-/r/` `pow-sqr` `pow-prod-up`
3×	`un-div-inv`
2×	`cbrt-undiv` `rec-exp` `pow-plus` `1-exp` `associate-*l/` `div-inv`
1×	`pow2` `sub-neg` `pow-flip` `diff-log` `inv-pow`

Counts

4 → 336

Calls

4 calls:

8.0ms	(/ 1 (- x (* z y)))
12.0ms	(* (* z y) (* z y))
38.0ms	(- (* x x) (* (* z y) (* z y)))
72.0ms	(* (- (* x x) (* (* z y) (* z y))) (/ 1 (- x (* z y))))

series239.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ 1 (- x (* z y)))
32.0ms	(* (* z y) (* z y))
81.0ms	(- (* x x) (* (* z y) (* z y)))
74.0ms	(* (- (* x x) (* (* z y) (* z y))) (/ 1 (- x (* z y))))

simplify54.0ms

Algorithm

egg-herbie

Counts

348 → 348

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	826	2642
1	5001	2358

prune388.0ms

Filtered

348 candidates to 156 candidates (44.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	348	0	348
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	348	4	352

Merged error: 0b

Counts

352 → 4

regimes74.0ms

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

sample426.0ms

Algorithm

intervals

Results

211.0ms

10034×

body

valid