Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

320×

body

valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	26	3
2	56	3
3	137	3
4	229	3
5	289	3
6	379	3
7	582	3
8	878	3
9	1193	3
10	1234	3
11	1234	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 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 33

Calls

1 calls:

9.0ms

(* (+ x y) (- 1.0 z))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(* (+ x y) (- 1.0 z))

simplify33.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	240	207
1	997	192
2	5001	190

prune68.0ms

Filtered

36 candidates to 25 candidates (69.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	5	37

Merged error: 0b

Counts

37 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r/` `associate-l*`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt` `flip3-+` `flip-+`
4×	`pow1` `add-exp-log` `associate-r` `frac-add` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-in` `distribute-rgt-neg-in` `distribute-lft-in`
2×	`associate-+l+` `associate-+r+`
1×	`+-commutative` `neg-mul-1` `distribute-rgt-out` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 53

Calls

2 calls:

7.0ms	(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))
7.0ms	(* (- z) (+ x y))

series83.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))
35.0ms	(* (- z) (+ x y))

simplify48.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	387	384
1	1802	333
2	5003	332

prune101.0ms

Filtered

59 candidates to 45 candidates (76.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	59	5	64

Merged error: 0b

Counts

64 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 z))
0.2b	(cbrt (- 1.0 z))
0.2b	(cbrt (- 1.0 z))
0.3b	(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

3.0ms	(cbrt (- 1.0 z))
3.0ms	(cbrt (- 1.0 z))
3.0ms	(cbrt (- 1.0 z))
11.0ms	(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))

series372.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(cbrt (- 1.0 z))
93.0ms	(cbrt (- 1.0 z))
88.0ms	(cbrt (- 1.0 z))
103.0ms	(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))

simplify135.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	316	847
1	1010	807
2	4438	753
3	5001	749

prune246.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	113	5	118

Merged error: 0b

Counts

118 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 z))
0.0b	(sqrt (- 1.0 z))
0.1b	(* (+ x y) (sqrt (- 1.0 z)))
0.1b	(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
32×	`frac-times`
25×	`add-sqr-sqrt`
23×	`flip3--` `flip--`
21×	`*-un-lft-identity` `sqrt-prod`
16×	`associate-r` `associate-*l/`
13×	`pow1`
12×	`flip3-+` `flip-+`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
5×	`associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`
1×	`distribute-lft-out`

Counts

4 → 116

Calls

4 calls:

3.0ms	(sqrt (- 1.0 z))
3.0ms	(sqrt (- 1.0 z))
9.0ms	(* (+ x y) (sqrt (- 1.0 z)))
15.0ms	(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

series163.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(sqrt (- 1.0 z))
34.0ms	(sqrt (- 1.0 z))
66.0ms	(* (+ x y) (sqrt (- 1.0 z)))
35.0ms	(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	490	1066
1	1822	953
2	5001	941

prune273.0ms

Filtered

128 candidates to 90 candidates (70.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	128	5	133

Merged error: 0b

Counts

133 → 5

regimes141.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	19	6
2	24	6
3	24	6

end0.0ms

sample448.0ms

Algorithm

intervals

Results

240.0ms	10191×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid