Details

sample14.0ms

Algorithm

intervals

Results

5.0ms

286×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	3
1	31	3
2	56	3
3	62	3
4	62	3

prune1.0ms

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 1 expressions with local error:

0.0b	(- x (* (* y 4.0) z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`*-un-lft-identity`
3×	`associate-l` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 18

Calls

1 calls:

12.0ms

(- x (* (* y 4.0) z))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(- x (* (* y 4.0) z))

simplify47.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	107	124
1	308	117
2	1292	117
3	5001	117

prune32.0ms

Filtered

21 candidates to 16 candidates (76.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	2	22

Merged error: 0.0b

Counts

22 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b	(+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x))
1.5b	(* (* (* y 4.0) z) (+ (* (* y 4.0) z) x))
2.6b	(- (pow x 3) (pow (* (* y 4.0) z) 3))
39.3b	(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

659×	`*-un-lft-identity`
527×	`associate-l`
468×	`add-sqr-sqrt`
286×	`times-frac`
260×	`unpow-prod-down`
227×	`distribute-lft-out`
195×	`difference-of-squares`
127×	`unswap-sqr`
104×	`sqr-pow`
52×	`difference-cubes` `pow-unpow` `distribute-lft-out--`
49×	`add-cube-cbrt`
26×	`associate-/l*`
15×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
12×	`associate-r`
11×	`associate-/r*`
8×	`add-log-exp`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`+-commutative`
4×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
3×	`flip3-+` `*-commutative` `flip-+`
2×	`flip3--` `associate-*r/` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 452

Calls

4 calls:

48.0ms	(+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x))
24.0ms	(* (* (* y 4.0) z) (+ (* (* y 4.0) z) x))
23.0ms	(- (pow x 3) (pow (* (* y 4.0) z) 3))
78.0ms	(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))

series452.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x))
47.0ms	(* (* (* y 4.0) z) (+ (* (* y 4.0) z) x))
189.0ms	(- (pow x 3) (pow (* (* y 4.0) z) 3))
139.0ms	(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) x)) (* x x)))

simplify114.0ms

Algorithm

egg-herbie

Counts

464 → 464

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1087	8758
1	5001	8619

prune626.0ms

Filtered

464 candidates to 179 candidates (38.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	463	1	464
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	464	2	466

Merged error: 0b

Counts

466 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* y 4.0) z) (* (* y 4.0) z))
1.0b	(+ (* (* (* y 4.0) z) (* (* y 4.0) z)) (* x (+ (* (* y 4.0) z) x)))
2.6b	(- (pow x 3) (pow (* (* y 4.0) z) 3))
39.3b	(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (+ (* (* (* y 4.0) z) (* (* y 4.0) z)) (* x (+ (* (* y 4.0) z) x))))

rewrite294.0ms

Algorithm

rewrite-expression-head

Rules

679×	`*-un-lft-identity`
581×	`associate-l`
530×	`add-sqr-sqrt`
286×	`times-frac`
260×	`unpow-prod-down`
224×	`distribute-lft-out`
195×	`difference-of-squares`
160×	`unswap-sqr`
118×	`pow1`
104×	`sqr-pow`
66×	`pow-prod-down`
63×	`add-cube-cbrt`
52×	`difference-cubes` `pow-unpow` `distribute-lft-out--`
46×	`associate-r`
42×	`add-exp-log` `add-cbrt-cube`
28×	`swap-sqr`
27×	`prod-exp` `cbrt-unprod`
26×	`associate-/l*`
11×	`associate-/r*`
9×	`pow-sqr` `*-commutative` `pow-prod-up`
8×	`add-log-exp`
4×	`associate-+r+`
3×	`+-commutative` `pow-plus`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `pow2` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 536

Calls

4 calls:

24.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
87.0ms	(+ (* (* (* y 4.0) z) (* (* y 4.0) z)) (* x (+ (* (* y 4.0) z) x)))
19.0ms	(- (pow x 3) (pow (* (* y 4.0) z) 3))
113.0ms	(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (+ (* (* (* y 4.0) z) (* (* y 4.0) z)) (* x (+ (* (* y 4.0) z) x))))

series460.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
86.0ms	(+ (* (* (* y 4.0) z) (* (* y 4.0) z)) (* x (+ (* (* y 4.0) z) x)))
190.0ms	(- (pow x 3) (pow (* (* y 4.0) z) 3))
130.0ms	(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (+ (* (* (* y 4.0) z) (* (* y 4.0) z)) (* x (+ (* (* y 4.0) z) x))))

simplify152.0ms

Algorithm

egg-herbie

Counts

548 → 548

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1271	9975
1	5001	9757

prune665.0ms

Filtered

548 candidates to 206 candidates (37.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	548	0	548
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	548	2	550

Merged error: 0b

Counts

550 → 2

regimes84.0ms

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	9	3
1	9	3

end0.0ms

sample360.0ms

Algorithm

intervals

Results

180.0ms

9133×

body

valid