Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

322×

body

valid

simplify79.0ms

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	750	3
11	1136	3
12	1818	3
13	5002	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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
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 → 33

Calls

2 calls:

6.0ms	(* (- y x) z)
3.0ms	(+ x (* (- y x) z))

series56.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (- y x) z)
28.0ms	(+ x (* (- y x) z))

simplify66.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	163	162
1	556	145
2	2758	145
3	5001	145

prune56.0ms

Filtered

39 candidates to 27 candidates (69.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Merged error: 0.0b

Counts

40 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- y x)) (cbrt (- y x)))
0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))

rewrite25.0ms

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:

11.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
5.0ms	(cbrt (- y x))
3.0ms	(cbrt (- y x))
3.0ms	(cbrt (- y x))

series556.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
144.0ms	(cbrt (- y x))
145.0ms	(cbrt (- y x))
140.0ms	(cbrt (- y x))

simplify161.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (152.0ms)

Iter	Nodes	Cost
0	261	760
1	914	723
2	4493	667
3	5001	657

prune231.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	113	4	117

Merged error: 0.0b

Counts

117 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) z)
0.2b	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
2.5b	(sqrt (* (- y x) z))
2.5b	(sqrt (* (- y x) z))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-l` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

6.0ms	(* (- y x) z)
14.0ms	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
5.0ms	(sqrt (* (- y x) z))
5.0ms	(sqrt (* (- y x) z))

series559.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (- y x) z)
77.0ms	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
224.0ms	(sqrt (* (- y x) z))
225.0ms	(sqrt (* (- y x) z))

simplify44.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	257	515
1	1117	463
2	5002	440

prune167.0ms

Filtered

117 candidates to 68 candidates (58.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	117	4	121

Merged error: 0.0b

Counts

121 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

3.0ms	(+ x (* (* (- y x) (sqrt z)) (sqrt z)))
7.0ms	(* (- y x) (sqrt z))
9.0ms	(* (* (- y x) (sqrt z)) (sqrt z))

series123.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ x (* (* (- y x) (sqrt z)) (sqrt z)))
50.0ms	(* (- y x) (sqrt z))
32.0ms	(* (* (- y x) (sqrt z)) (sqrt z))

simplify37.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	281	412
1	1147	342
2	5002	328

prune103.0ms

Filtered

69 candidates to 47 candidates (68.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	69	4	73

Merged error: 0.0b

Counts

73 → 4

regimes70.0ms

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

sample430.0ms

Algorithm

intervals

Results

228.0ms

10201×

body

valid

Details

sample16.0ms

simplify79.0ms

prune2.0ms

localize8.0ms

rewrite10.0ms

series56.0ms

simplify66.0ms

prune56.0ms

localize8.0ms

rewrite25.0ms

series556.0ms

simplify161.0ms

prune231.0ms

localize7.0ms

rewrite34.0ms

series559.0ms

simplify44.0ms

prune167.0ms

localize7.0ms

rewrite21.0ms

series123.0ms

simplify37.0ms

prune103.0ms

regimes70.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample430.0ms

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