Details

analyze582.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
3.1%	96.7%	0.2%	8
19.9%	79.9%	0.2%	9
22.8%	77%	0.2%	10
35.1%	64.7%	0.2%	11
45%	54.8%	0.2%	12
53.8%	45.1%	1.2%	13
56.2%	42.4%	1.5%	14

sample20.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify173.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (171.0ms)

Iter	Nodes	Cost
0	5403	9

prune12.0ms

Filtered

1 candidates to 1 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: 0.1b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z y))
0.5b	(* (/ (- x y) (- z y)) t)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

7.0ms	(/ (- x y) (- z y))
16.0ms	(* (/ (- x y) (- z y)) t)

series31.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(/ (- x y) (- z y))
21.0ms	(* (/ (- x y) (- z y)) t)

simplify47.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5649	1183

prune124.0ms

Filtered

71 candidates to 108 candidates (-52.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	101	7	108
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	101	9	110

Merged error: 0.0b

Counts

110 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (/ (- x y) (- z y)) t)
4.6b	(cbrt (* (/ (- x y) (- z y)) t))
4.6b	(cbrt (* (/ (- x y) (- z y)) t))
4.6b	(cbrt (* (/ (- x y) (- z y)) t))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`associate-l`
26×	`times-frac`
16×	`add-cube-cbrt`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`associate-*l/` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-r`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `*-commutative` `flip--` `div-inv`

Counts

4 → 80

Calls

4 calls:

12.0ms	(* (/ (- x y) (- z y)) t)
8.0ms	(cbrt (* (/ (- x y) (- z y)) t))
8.0ms	(cbrt (* (/ (- x y) (- z y)) t))
8.0ms	(cbrt (* (/ (- x y) (- z y)) t))

series256.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (/ (- x y) (- z y)) t)
78.0ms	(cbrt (* (/ (- x y) (- z y)) t))
77.0ms	(cbrt (* (/ (- x y) (- z y)) t))
80.0ms	(cbrt (* (/ (- x y) (- z y)) t))

simplify35.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5246	1054

prune122.0ms

Filtered

71 candidates to 92 candidates (-29.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	92	9	101

Merged error: 0.0b

Counts

101 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (/ (- x y) (cbrt (- z y)))) t)
0.6b	(cbrt (- z y))
0.6b	(cbrt (- z y))
0.6b	(cbrt (- z y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-exp-log`
35×	`prod-exp`
26×	`add-cbrt-cube`
15×	`cbrt-prod` `div-exp` `cbrt-unprod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1`
8×	`add-cube-cbrt`
7×	`cbrt-undiv`
6×	`cbrt-div`
4×	`rec-exp` `1-exp` `associate-*l/` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-r` `pow-prod-down` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `associate-r/` `associate-l` `-commutative`

Counts

4 → 84

Calls

4 calls:

26.0ms	(* (* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (/ (- x y) (cbrt (- z y)))) t)
3.0ms	(cbrt (- z y))
3.0ms	(cbrt (- z y))
3.0ms	(cbrt (- z y))

series106.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (/ (- x y) (cbrt (- z y)))) t)
29.0ms	(cbrt (- z y))
25.0ms	(cbrt (- z y))
25.0ms	(cbrt (- z y))

simplify63.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4914	831
1	4914	831

prune102.0ms

Filtered

57 candidates to 96 candidates (-68.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	96	9	105

Merged error: 0.0b

Counts

105 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow (cbrt (- z y)) 2)
0.6b	(cbrt (- z y))
0.6b	(cbrt (- z y))
2.5b	(/ (* t (/ (- x y) (pow (cbrt (- z y)) 2))) (cbrt (- z y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`add-exp-log`
13×	`add-cube-cbrt`
10×	`add-cbrt-cube`
8×	`unpow-prod-down` `times-frac` `div-exp` `associate-/r*`
6×	`cbrt-div`
5×	`pow1` `distribute-lft-out--` `difference-of-squares`
4×	`cbrt-undiv` `prod-exp` `add-log-exp`
3×	`pow-unpow` `flip3--` `pow1/3` `flip--`
2×	`pow-to-exp` `pow-pow` `pow-exp` `associate-/r/` `cbrt-unprod`
1×	`frac-2neg` `associate-r/` `clear-num` `div-inv` `associate-/l/` `associate-/l` `unpow2` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

5.0ms	(pow (cbrt (- z y)) 2)
3.0ms	(cbrt (- z y))
3.0ms	(cbrt (- z y))
17.0ms	(/ (* t (/ (- x y) (pow (cbrt (- z y)) 2))) (cbrt (- z y)))

series122.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(pow (cbrt (- z y)) 2)
25.0ms	(cbrt (- z y))
25.0ms	(cbrt (- z y))
18.0ms	(/ (* t (/ (- x y) (pow (cbrt (- z y)) 2))) (cbrt (- z y)))

simplify74.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4987	1078
1	4987	1078

prune115.0ms

Filtered

74 candidates to 104 candidates (-40.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	1	4	5
Picked	0	1	1
Done	2	1	3
Total	105	8	113

Merged error: 0b

Counts

113 → 8

regimes458.0ms

Accuracy

0% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms

sample494.0ms

Algorithm

intervals

Results

256.0ms	8000×	body	80	valid
18.0ms	605×	body	80	invalid

Details

analyze582.0ms

sample20.0ms

simplify173.0ms

prune12.0ms

localize7.0ms

rewrite28.0ms

series31.0ms

simplify47.0ms

prune124.0ms

localize14.0ms

rewrite39.0ms

series256.0ms

simplify35.0ms

prune122.0ms

localize12.0ms

rewrite38.0ms

series106.0ms

simplify63.0ms

prune102.0ms

localize12.0ms

rewrite30.0ms

series122.0ms

simplify74.0ms

prune115.0ms

regimes458.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample494.0ms

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