Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

325×

body

valid

simplify172.0ms

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	1212	3
12	1786	3
13	3407	3
14	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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:

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

series59.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ x (* (- y x) z))
28.0ms	(* (- y x) z)

simplify63.0ms

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

prune58.0ms

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: 0b

Counts

40 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
4.1b	(- (* y y) (* x x))
10.4b	(* (- (* y y) (* x x)) z)
19.2b	(/ (* (- (* y y) (* x x)) z) (+ y x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

7.0ms	(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
4.0ms	(- (* y y) (* x x))
6.0ms	(* (- (* y y) (* x x)) z)
10.0ms	(/ (* (- (* y y) (* x x)) z) (+ y x))

series177.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
34.0ms	(- (* y y) (* x x))
41.0ms	(* (- (* y y) (* x x)) z)
54.0ms	(/ (* (- (* y y) (* x x)) z) (+ y x))

simplify49.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	353	602
1	1718	523
2	5002	514

prune131.0ms

Filtered

85 candidates to 58 candidates (68.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Merged error: 0b

Counts

89 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) z)
0.2b	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
3.7b	(sqrt (* (- y x) z))
3.7b	(sqrt (* (- y x) z))

rewrite35.0ms

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:

7.0ms	(* (- 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))

series553.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- y x) z)
62.0ms	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
230.0ms	(sqrt (* (- y x) z))
232.0ms	(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

prune173.0ms

Filtered

117 candidates to 67 candidates (57.3%)

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: 0b

Counts

121 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- y x))
0.0b	(sqrt (- y x))
0.1b	(* (sqrt (- y x)) z)
0.2b	(* (sqrt (- y x)) (* (sqrt (- y x)) z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

3.0ms	(sqrt (- y x))
3.0ms	(sqrt (- y x))
8.0ms	(* (sqrt (- y x)) z)
13.0ms	(* (sqrt (- y x)) (* (sqrt (- y x)) z))

series295.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(sqrt (- y x))
84.0ms	(sqrt (- y x))
83.0ms	(* (sqrt (- y x)) z)
33.0ms	(* (sqrt (- y x)) (* (sqrt (- y x)) z))

simplify90.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	306	586
1	1009	508
2	4029	496
3	5001	496

prune170.0ms

Filtered

103 candidates to 70 candidates (68.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	103	4	107

Merged error: 0b

Counts

107 → 4

regimes68.0ms

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

sample423.0ms

Algorithm

intervals

Results

228.0ms

10148×

body

valid

Details

sample16.0ms

simplify172.0ms

prune2.0ms

localize5.0ms

rewrite11.0ms

series59.0ms

simplify63.0ms

prune58.0ms

localize9.0ms

rewrite28.0ms

series177.0ms

simplify49.0ms

prune131.0ms

localize11.0ms

rewrite35.0ms

series553.0ms

simplify44.0ms

prune173.0ms

localize7.0ms

rewrite30.0ms

series295.0ms

simplify90.0ms

prune170.0ms

regimes68.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample423.0ms

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