Details

analyze191.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

sample21.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	10×	body	80	invalid
0.0ms	2×	body	80	nan

simplify111.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4855	12
1	4855	12

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (* y (+ 1.0 (- (log z) z))))
0.0b	(- (log z) z)
0.1b	(* y (+ 1.0 (- (log z) z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

4.0ms	(+ (* x 0.5) (* y (+ 1.0 (- (log z) z))))
4.0ms	(- (log z) z)
8.0ms	(* y (+ 1.0 (- (log z) z)))

series40.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (* x 0.5) (* y (+ 1.0 (- (log z) z))))
13.0ms	(- (log z) z)
13.0ms	(* y (+ 1.0 (- (log z) z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4988	636
1	4988	636

prune91.0ms

Filtered

43 candidates to 64 candidates (-48.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	58	6	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	7	65

Merged error: 0.0b

Counts

65 → 7

localize16.0ms

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)

rewrite13.0ms

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:

7.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series92.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt z) (cbrt z))
21.0ms	(cbrt z)
22.0ms	(cbrt z)
22.0ms	(cbrt z)

simplify47.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5165	356

prune109.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* y (+ 1.0 (- (log z) z)))) (cbrt (* y (+ 1.0 (- (log z) z)))))
0.6b	(cbrt (* y (+ 1.0 (- (log z) z))))
0.6b	(cbrt (* y (+ 1.0 (- (log z) z))))
0.6b	(cbrt (* y (+ 1.0 (- (log z) z))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (* y (+ 1.0 (- (log z) z)))) (cbrt (* y (+ 1.0 (- (log z) z)))))
7.0ms	(cbrt (* y (+ 1.0 (- (log z) z))))
6.0ms	(cbrt (* y (+ 1.0 (- (log z) z))))
7.0ms	(cbrt (* y (+ 1.0 (- (log z) z))))

series169.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (cbrt (* y (+ 1.0 (- (log z) z)))) (cbrt (* y (+ 1.0 (- (log z) z)))))
36.0ms	(cbrt (* y (+ 1.0 (- (log z) z))))
35.0ms	(cbrt (* y (+ 1.0 (- (log z) z))))
37.0ms	(cbrt (* y (+ 1.0 (- (log z) z))))

simplify48.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5354	3548

prune386.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- z (log z))
0.3b	(* (- (log z) z) (- z (log z)))
3.3b	(* y (+ (* 1.0 1.0) (* (- (log z) z) (- z (log z)))))
8.7b	(/ (* y (+ (* 1.0 1.0) (* (- (log z) z) (- z (log z))))) (- 1.0 (- (log z) z)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

4.0ms	(- z (log z))
10.0ms	(* (- (log z) z) (- z (log z)))
6.0ms	(* y (+ (* 1.0 1.0) (* (- (log z) z) (- z (log z)))))
12.0ms	(/ (* y (+ (* 1.0 1.0) (* (- (log z) z) (- z (log z))))) (- 1.0 (- (log z) z)))

series114.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- z (log z))
6.0ms	(* (- (log z) z) (- z (log z)))
27.0ms	(* y (+ (* 1.0 1.0) (* (- (log z) z) (- z (log z)))))
65.0ms	(/ (* y (+ (* 1.0 1.0) (* (- (log z) z) (- z (log z))))) (- 1.0 (- (log z) z)))

simplify44.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5028	2362

prune167.0ms

Filtered

87 candidates to 118 candidates (-35.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	1	2	3
Picked	0	1	1
Done	1	2	3
Total	119	6	125

Merged error: 0b

Counts

125 → 6

regimes233.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	20
1	30	20

end0.0ms

sample549.0ms

Algorithm

intervals

Results

364.0ms	8000×	body	80	valid
15.0ms	276×	body	80	invalid
3.0ms	69×	body	80	nan

Details

analyze191.0ms

sample21.0ms

simplify111.0ms

prune10.0ms

localize9.0ms

rewrite17.0ms

series40.0ms

simplify47.0ms

prune91.0ms

localize16.0ms

rewrite13.0ms

series92.0ms

simplify47.0ms

prune109.0ms

localize13.0ms

rewrite27.0ms

series169.0ms

simplify48.0ms

prune386.0ms

localize15.0ms

rewrite35.0ms

series114.0ms

simplify44.0ms

prune167.0ms

regimes233.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample549.0ms

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