Details

sample40.0ms

Algorithm

intervals

Results

11.0ms	257×	body	80	valid
9.0ms	240×	body	80	nan

simplify138.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	6
1	61	6
2	192	6
3	649	6
4	1602	6
5	2720	6
6	3667	6
7	4387	6
8	4711	6
9	4938	6
10	5002	6

prune3.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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` `distribute-lft-in` `diff-log` `add-cbrt-cube` `associate--r+`
4×	`associate-r` `associate-l` `sum-log`
3×	`sub-neg` `distribute-lft-out`
2×	`associate-+l-` `associate-+l+` `flip3--` `flip3-+` `associate-*l/` `flip--` `flip-+` `distribute-lft-out--`
1×	`+-commutative` `associate--l-` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

3.0ms	(- x (* (+ y 0.5) (log y)))
7.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
5.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
7.0ms	(* (+ y 0.5) (log y))

series57.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- x (* (+ y 0.5) (log y)))
15.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
10.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
22.0ms	(* (+ y 0.5) (log y))

simplify50.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	475	684
1	1731	613
2	5002	594

prune125.0ms

Filtered

93 candidates to 67 candidates (28.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	87	6	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	6	94

Merged error: 0.0b

Counts

94 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

7.0ms	(- (+ x (- y (* (log y) (+ y 0.5)))) z)
6.0ms	(* (log y) (+ y 0.5))
3.0ms	(- y (* (log y) (+ y 0.5)))

series72.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(- (+ x (- y (* (log y) (+ y 0.5)))) z)
22.0ms	(* (log y) (+ y 0.5))
35.0ms	(- y (* (log y) (+ y 0.5)))

simplify44.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	379	472
1	1494	421
2	5001	410

prune85.0ms

Filtered

66 candidates to 47 candidates (28.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	66	6	72

Merged error: 0.0b

Counts

72 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ y 0.5) (* 2 (log (cbrt y))))
0.2b	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

49×	`distribute-rgt-in` `distribute-lft-in`
48×	`log-prod`
30×	`cbrt-prod`
25×	`*-un-lft-identity`
24×	`associate-+l+`
23×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `associate-*l/` `flip-+` `add-log-exp`
4×	`associate-r/` `associate-l*` `frac-add`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-+r+` `pow1/3`
1×	`+-commutative` `associate-r` `sum-log` `*-commutative` `distribute-lft-out`

Counts

4 → 108

Calls

4 calls:

9.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
12.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series214.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
110.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify74.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	692	1152
1	2432	1025
2	5003	966

prune164.0ms

Filtered

120 candidates to 87 candidates (27.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	119	7	126

Merged error: 0b

Counts

126 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ y 0.5) (* 2 (log (pow y 1/3))))
0.2b	(+ (* (+ y 0.5) (* 2 (log (pow y 1/3)))) (* (log (cbrt y)) (+ y 0.5)))
0.5b	(cbrt y)
5.2b	(pow y 1/3)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

57×	`distribute-rgt-in` `distribute-lft-in`
56×	`log-prod`
28×	`associate-+l+`
27×	`unpow-prod-down`
26×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`pow1` `add-exp-log`
9×	`add-cbrt-cube` `sqr-pow`
6×	`flip3-+` `associate-*l/` `flip-+` `add-log-exp`
4×	`associate-r/` `associate-l*` `frac-add`
3×	`cbrt-prod` `pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-+r+`
1×	`+-commutative` `pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `associate-r` `pow-exp` `sum-log` `*-commutative` `distribute-lft-out`

Counts

4 → 123

Calls

4 calls:

10.0ms	(* (+ y 0.5) (* 2 (log (pow y 1/3))))
12.0ms	(+ (* (+ y 0.5) (* 2 (log (pow y 1/3)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series234.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (+ y 0.5) (* 2 (log (pow y 1/3))))
134.0ms	(+ (* (+ y 0.5) (* 2 (log (pow y 1/3)))) (* (log (cbrt y)) (+ y 0.5)))
21.0ms	(cbrt y)
22.0ms	(pow y 1/3)

simplify108.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	852	1232
1	3423	1012
2	5002	942

prune202.0ms

Filtered

135 candidates to 90 candidates (33.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	135	7	142

Merged error: 0b

Counts

142 → 7

regimes190.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

sample1.2s

Algorithm

intervals

Results

358.0ms	8042×	body	80	valid
293.0ms	8081×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

Details

sample40.0ms

simplify138.0ms

prune3.0ms

localize9.0ms

rewrite24.0ms

series57.0ms

simplify50.0ms

prune125.0ms

localize9.0ms

rewrite17.0ms

series72.0ms

simplify44.0ms

prune85.0ms

localize17.0ms

rewrite28.0ms

series214.0ms

simplify74.0ms

prune164.0ms

localize23.0ms

rewrite32.0ms

series234.0ms

simplify108.0ms

prune202.0ms

regimes190.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

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