Details

analyze188.0ms

Algorithm: search

sample22.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	11×	body	80	invalid
0.0ms	2×	body	80	nan

simplify58.0ms

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

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

rewrite23.0ms

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:

7.0ms	(+ (- 1.0 z) (log z))
5.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
10.0ms	(* y (+ (- 1.0 z) (log z)))

series43.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ (- 1.0 z) (log z))
14.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
15.0ms	(* y (+ (- 1.0 z) (log z)))

simplify44.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (38.0ms)

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

prune91.0ms

Filtered

44 candidates to 70 candidates (-59.1%)

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: 0.0b

Counts

71 → 5

localize10.0ms

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))
0.1b	(+ (* y (- 1.0 z)) (* y (log z)))
0.3b	(* y (log z))

rewrite27.0ms

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:

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

simplify58.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (51.0ms)

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

prune112.0ms

Filtered

63 candidates to 98 candidates (-55.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	97	6	103

Merged error: 0.0b

Counts

103 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
0.3b	(* y (log (cbrt z)))
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
12×	`cbrt-prod` `log-prod`
9×	`pow1`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`add-log-exp`
3×	`pow1/3`
2×	`pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 76

Calls

4 calls:

7.0ms	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
5.0ms	(* y (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series91.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
20.0ms	(* y (log (cbrt z)))
24.0ms	(cbrt z)
22.0ms	(cbrt z)

simplify38.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	301	543
1	1196	479
2	5001	445

prune113.0ms

Filtered

61 candidates to 88 candidates (-44.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	88	6	94

Merged error: 0.0b

Counts

94 → 6

localize15.0ms

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)))
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite29.0ms

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:

13.0ms	(* 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:

34.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
49.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
21.0ms	(cbrt z)
21.0ms	(cbrt z)

simplify41.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (33.0ms)

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

prune99.0ms

Filtered

60 candidates to 87 candidates (-45.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	89	4	93

Merged error: 0.0b

Counts

93 → 4

regimes215.0ms

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

analyze180.0ms

Algorithm: search

sample565.0ms

Algorithm

intervals

Results

374.0ms	8000×	body	80	valid
14.0ms	326×	body	80	invalid
3.0ms	72×	body	80	nan

Details

analyze188.0ms

sample22.0ms

simplify58.0ms

prune4.0ms

localize9.0ms

rewrite23.0ms

series43.0ms

simplify44.0ms

prune91.0ms

localize10.0ms

rewrite27.0ms

series42.0ms

simplify58.0ms

prune112.0ms

localize15.0ms

rewrite16.0ms

series91.0ms

simplify38.0ms

prune113.0ms

localize15.0ms

rewrite29.0ms

series125.0ms

simplify41.0ms

prune99.0ms

regimes215.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze180.0ms

sample565.0ms

Profiling