Details

sample44.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
11.0ms	293×	body	80	nan

simplify215.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (214.0ms)

Iter	Nodes	Cost
0	4185	12
1	4185	12

prune8.0ms

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 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

7.0ms	(+ (* (+ y 0.5) (log y)) z)
9.0ms	(+ x (- y (+ (* (+ y 0.5) (log y)) z)))
9.0ms	(- y (+ (* (+ y 0.5) (log y)) z))
6.0ms	(* (+ y 0.5) (log y))

series56.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (* (+ y 0.5) (log y)) z)
15.0ms	(+ x (- y (+ (* (+ y 0.5) (log y)) z)))
11.0ms	(- y (+ (* (+ y 0.5) (log y)) z))
20.0ms	(* (+ y 0.5) (log y))

simplify28.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5410	1078

prune337.0ms

Filtered

67 candidates to 91 candidates (-35.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	83	8	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	8	92

Merged error: 0b

Counts

92 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod`
27×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
15×	`sqrt-prod`
14×	`pow1`
13×	`add-log-exp`
12×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
9×	`add-exp-log` `log-pow`
8×	`associate-l` `add-cbrt-cube`
4×	`associate-*l/`
3×	`sqrt-pow1` `pow1/2` `diff-log` `sum-log` `distribute-lft-out`
2×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `unswap-sqr`
1×	`sub-neg` `flip3--` `rem-log-exp` `flip--` `associate--r+` `difference-of-squares`

Counts

4 → 107

Calls

4 calls:

2.0ms	(log (sqrt y))
14.0ms	(- y (+ (+ (* (+ y 0.5) (log (sqrt y))) (* (+ y 0.5) (log (sqrt y)))) z))
8.0ms	(* (+ y 0.5) (log (sqrt y)))
8.0ms	(* (+ y 0.5) (log (sqrt y)))

series34.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(log (sqrt y))
17.0ms	(- y (+ (+ (* (+ y 0.5) (log (sqrt y))) (* (+ y 0.5) (log (sqrt y)))) z))
7.0ms	(* (+ y 0.5) (log (sqrt y)))
7.0ms	(* (+ y 0.5) (log (sqrt y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5034	1390

prune135.0ms

Filtered

77 candidates to 119 candidates (-54.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	119	8	127

Merged error: 0b

Counts

127 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ y 0.5) (* 2 (log (cbrt y))))
0.3b	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (+ y 0.5) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

60×	`log-prod`
54×	`distribute-rgt-in` `distribute-lft-in`
36×	`cbrt-prod`
29×	`*-un-lft-identity`
27×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`associate-+l+`
12×	`associate-+r+`
10×	`associate-*l/`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `add-log-exp`
4×	`associate-l` `frac-add`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `distribute-lft-out`
1×	`+-commutative` `associate-r` `sum-log` `*-commutative`

Counts

4 → 119

Calls

4 calls:

8.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
13.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (+ y 0.5) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series209.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
103.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (+ y 0.5) (log (cbrt y))))
21.0ms	(cbrt y)
23.0ms	(cbrt y)

simplify68.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4926	1548
1	4926	1548

prune157.0ms

Filtered

91 candidates to 131 candidates (-44.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	131	8	139

Merged error: 0b

Counts

139 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- y (+ (* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5)))) z)))
0.1b	(- y (+ (* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5)))) z))
0.4b	(* (log y) (sqrt (+ y 0.5)))
0.4b	(* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
18×	`add-log-exp`
15×	`add-sqr-sqrt`
14×	`sqrt-div`
12×	`pow1`
11×	`add-exp-log` `associate-l` `add-cbrt-cube`
10×	`associate-*r/`
9×	`add-cube-cbrt` `sqrt-prod`
8×	`flip3-+` `associate-r` `flip-+`
5×	`sum-log`
4×	`frac-times` `diff-log` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out`
2×	`sub-neg` `associate-+r+` `associate-l/` `-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `flip3--` `log-pow` `flip--` `associate--r+` `difference-of-squares`

Counts

4 → 90

Calls

4 calls:

13.0ms	(+ x (- y (+ (* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5)))) z)))
13.0ms	(- y (+ (* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5)))) z))
7.0ms	(* (log y) (sqrt (+ y 0.5)))
11.0ms	(* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5))))

series56.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ x (- y (+ (* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5)))) z)))
11.0ms	(- y (+ (* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5)))) z))
11.0ms	(* (log y) (sqrt (+ y 0.5)))
20.0ms	(* (sqrt (+ y 0.5)) (* (log y) (sqrt (+ y 0.5))))

simplify33.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5270	1457

prune132.0ms

Filtered

72 candidates to 102 candidates (-41.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	102	8	110

Merged error: 0b

Counts

110 → 8

regimes193.0ms

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	16	21
1	16	21

end0.0ms

sample1.2s

Algorithm

intervals

Results

367.0ms	8034×	body	80	valid
291.0ms	7991×	body	80	nan
0.0ms	1×	body	1280	valid

Details

sample44.0ms

simplify215.0ms

prune8.0ms

localize9.0ms

rewrite34.0ms

series56.0ms

simplify28.0ms

prune337.0ms

localize11.0ms

rewrite34.0ms

series34.0ms

simplify40.0ms

prune135.0ms

localize14.0ms

rewrite29.0ms

series209.0ms

simplify68.0ms

prune157.0ms

localize12.0ms

rewrite47.0ms

series56.0ms

simplify33.0ms

prune132.0ms

regimes193.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

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