Details

sample423.0ms

Algorithm

intervals

Results

143.0ms	1972×	body	80	nan
24.0ms	302×	body	80	valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	11
1	101	11
2	428	11
3	1514	11
4	4620	11
5	5001	11

prune6.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) z)
0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.1b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
22×	`add-sqr-sqrt`
20×	`add-log-exp`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`distribute-rgt-in` `distribute-lft-in`
11×	`sum-log`
10×	`pow1`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
7×	`associate-+l+`
6×	`associate-+r+` `associate-*l/`
4×	`flip3-+` `frac-add` `flip-+`
3×	`flip3--` `flip--`
2×	`+-commutative` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 96

Calls

4 calls:

5.0ms	(+ (* x (log y)) z)
15.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
7.0ms	(* (- b 0.5) (log c))
5.0ms	(* x (log y))

series94.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (* x (log y)) z)
64.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
9.0ms	(* (- b 0.5) (log c))
7.0ms	(* x (log y))

simplify66.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	665	888
1	2567	831
2	5003	785

prune166.0ms

Filtered

108 candidates to 74 candidates (31.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	102	6	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	6	109

Merged error: 0.0b

Counts

109 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (- b 0.5) (log (sqrt c))))
0.1b	(* (log (sqrt c)) (- b 0.5))
0.1b	(* (- b 0.5) (log (sqrt c)))
0.3b	(* x (log y))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt` `log-prod`
24×	`*-un-lft-identity` `add-log-exp`
20×	`add-cube-cbrt` `frac-add`
17×	`distribute-rgt-in` `distribute-lft-in`
15×	`pow1` `associate-r` `sum-log`
14×	`associate-l` `associate-*l/`
12×	`associate-+r+` `flip3--` `sqrt-prod` `flip--`
10×	`add-exp-log` `associate-*r/` `add-cbrt-cube`
7×	`flip3-+` `log-pow` `flip-+`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`sub-neg` `sqrt-pow1` `pow1/2` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `associate-+l+`

Counts

4 → 131

Calls

4 calls:

22.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (- b 0.5) (log (sqrt c))))
7.0ms	(* (log (sqrt c)) (- b 0.5))
8.0ms	(* (- b 0.5) (log (sqrt c)))
5.0ms	(* x (log y))

series105.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (- b 0.5) (log (sqrt c))))
8.0ms	(* (log (sqrt c)) (- b 0.5))
7.0ms	(* (- b 0.5) (log (sqrt c)))
7.0ms	(* x (log y))

simplify122.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1012	2060
1	4877	1896
2	5001	1896

prune208.0ms

Filtered

143 candidates to 102 candidates (28.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	143	6	149

Merged error: 0.0b

Counts

149 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
10.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series87.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x (log (cbrt y)))
22.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
22.0ms	(cbrt y)
24.0ms	(cbrt y)

simplify51.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	362	765
1	1356	673
2	5002	593

prune167.0ms

Filtered

114 candidates to 87 candidates (23.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	114	6	120

Merged error: 0.0b

Counts

120 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.3b	(* x (log y))
0.5b	(cbrt c)
0.5b	(cbrt c)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

13.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
4.0ms	(* x (log y))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series88.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
7.0ms	(* x (log y))
21.0ms	(cbrt c)
24.0ms	(cbrt c)

simplify59.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	580	891
1	2054	779
2	5002	735

prune149.0ms

Filtered

111 candidates to 91 candidates (18.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	111	6	117

Merged error: 0.0b

Counts

117 → 6

regimes1.5s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	25
1	43	25

end0.0ms

sample9.0s

Algorithm

intervals

Results

3.9s	55360×	body	80	nan
757.0ms	9244×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

sample423.0ms

simplify72.0ms

prune6.0ms

localize17.0ms

rewrite35.0ms

series94.0ms

simplify66.0ms

prune166.0ms

localize21.0ms

rewrite47.0ms

series105.0ms

simplify122.0ms

prune208.0ms

localize23.0ms

rewrite23.0ms

series87.0ms

simplify51.0ms

prune167.0ms

localize22.0ms

rewrite24.0ms

series88.0ms

simplify59.0ms

prune149.0ms

regimes1.5s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample9.0s

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