Details

sample46.0ms

Algorithm

intervals

Results

12.0ms	289×	body	80	valid
9.0ms	250×	body	80	nan

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	51	6
2	104	6
3	191	6
4	262	6
5	353	6
6	466	6
7	712	6
8	1110	6
9	1256	6
10	1257	6
11	1257	6

prune4.0ms

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 3 expressions with local error:

0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

5.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
7.0ms	(+ (- 1.0 z) (log z))
9.0ms	(* y (+ (- 1.0 z) (log z)))

series40.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
14.0ms	(+ (- 1.0 z) (log z))
13.0ms	(* y (+ (- 1.0 z) (log z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	387	432
1	1513	383
2	5001	370

prune87.0ms

Filtered

70 candidates to 44 candidates (37.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	65	5	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	5	71

Merged error: 0b

Counts

71 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (+ (log z) 1.0)) (* 0.5 x))
0.0b	(- (+ (* y (+ (log z) 1.0)) (* 0.5 x)) (* z y))
0.0b	(+ (log z) 1.0)
0.2b	(* y (+ (log z) 1.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

6.0ms	(+ (* y (+ (log z) 1.0)) (* 0.5 x))
8.0ms	(- (+ (* y (+ (log z) 1.0)) (* 0.5 x)) (* z y))
5.0ms	(+ (log z) 1.0)
6.0ms	(* y (+ (log z) 1.0))

series46.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ (* y (+ (log z) 1.0)) (* 0.5 x))
13.0ms	(- (+ (* y (+ (log z) 1.0)) (* 0.5 x)) (* z y))
10.0ms	(+ (log z) 1.0)
8.0ms	(* y (+ (log z) 1.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	399	507
1	1697	463
2	5001	451

prune96.0ms

Filtered

79 candidates to 56 candidates (29.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	79	5	84

Merged error: 0b

Counts

84 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
0.0b	(* y (- 1.0 z))
0.2b	(+ (* y (- 1.0 z)) (* y (log z)))
0.3b	(* y (log z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

8.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
6.0ms	(* y (- 1.0 z))
7.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms	(* y (log z))

series42.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
5.0ms	(* y (- 1.0 z))
16.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
7.0ms	(* y (log z))

simplify60.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	461	552
1	2006	494
2	5002	475

prune97.0ms

Filtered

98 candidates to 63 candidates (35.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	98	5	103

Merged error: 0b

Counts

103 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
0.2b	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

12.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
11.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series125.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
46.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
23.0ms	(cbrt z)
21.0ms	(cbrt z)

simplify40.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	343	708
1	1277	629
2	5002	580

prune94.0ms

Filtered

87 candidates to 60 candidates (31.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	87	5	92

Merged error: 0b

Counts

92 → 5

regimes371.0ms

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	17	7
1	17	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

394.0ms	9186×	body	80	valid
327.0ms	9269×	body	80	nan

Details

sample46.0ms

simplify55.0ms

prune4.0ms

localize9.0ms

rewrite22.0ms

series40.0ms

simplify47.0ms

prune87.0ms

localize10.0ms

rewrite28.0ms

series46.0ms

simplify52.0ms

prune96.0ms

localize11.0ms

rewrite28.0ms

series42.0ms

simplify60.0ms

prune97.0ms

localize14.0ms

rewrite28.0ms

series125.0ms

simplify40.0ms

prune94.0ms

regimes371.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

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