Details

sample259.0ms

Algorithm

intervals

Results

6.0ms

323×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	2
1	15	2
2	15	2

prune4.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

8.0ms

(* (+ x y) z)

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(* (+ x y) z)

simplify41.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	106	84
1	411	72
2	1811	72
3	5003	72

prune56.0ms

Filtered

24 candidates to 16 candidates (66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	20	4	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	5	25

Merged error: 0.0b

Counts

25 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series730.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt z) (cbrt z))
178.0ms	(cbrt z)
173.0ms	(cbrt z)
179.0ms	(cbrt z)

simplify91.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune175.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	85	5	90

Merged error: 0b

Counts

90 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ x y) (cbrt (pow z 2)))
0.3b	(* (* (+ x y) (cbrt (pow z 2))) (cbrt z))
0.6b	(cbrt z)
26.4b	(cbrt (pow z 2))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-prod`
21×	`add-sqr-sqrt`
17×	`associate-r`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`pow1` `add-exp-log`
7×	`unpow-prod-down` `add-cbrt-cube`
6×	`associate-*l/`
5×	`associate-l` `unswap-sqr`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unpow2` `sqr-pow`
2×	`flip3-+` `pow1/3` `*-commutative` `flip-+`
1×	`distribute-lft-out`

Counts

4 → 83

Calls

4 calls:

9.0ms	(* (+ x y) (cbrt (pow z 2)))
10.0ms	(* (* (+ x y) (cbrt (pow z 2))) (cbrt z))
1.0ms	(cbrt z)
2.0ms	(cbrt (pow z 2))

series532.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (+ x y) (cbrt (pow z 2)))
56.0ms	(* (* (+ x y) (cbrt (pow z 2))) (cbrt z))
201.0ms	(cbrt z)
177.0ms	(cbrt (pow z 2))

simplify43.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	303	534
1	1417	463
2	5002	437

prune219.0ms

Filtered

95 candidates to 68 candidates (71.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	95	5	100

Merged error: 0b

Counts

100 → 5

localize14.0ms

Local error

Found 3 expressions with local error:

2.7b	(- (* x x) (* y y))
9.4b	(* (- (* x x) (* y y)) z)
18.7b	(/ (* (- (* x x) (* y y)) z) (- x y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

3.0ms	(- (* x x) (* y y))
6.0ms	(* (- (* x x) (* y y)) z)
15.0ms	(/ (* (- (* x x) (* y y)) z) (- x y))

series121.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(- (* x x) (* y y))
40.0ms	(* (- (* x x) (* y y)) z)
53.0ms	(/ (* (- (* x x) (* y y)) z) (- x y))

simplify46.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	302	480
1	1573	406
2	5001	397

prune119.0ms

Filtered

72 candidates to 50 candidates (69.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	72	5	77

Merged error: 0b

Counts

77 → 5

regimes98.0ms

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	7	2
1	7	2

end0.0ms

sample345.0ms

Algorithm

intervals

Results

160.0ms

10169×

body

valid