Details

sample51.0ms

Algorithm

intervals

Results

13.0ms	287×	body	80	valid
10.0ms	262×	body	80	nan

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize10.0ms

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

rewrite25.0ms

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))
6.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
10.0ms	(* y (+ (- 1.0 z) (log z)))

series47.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ (- 1.0 z) (log z))
14.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
15.0ms	(* y (+ (- 1.0 z) (log z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (47.0ms)

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

prune96.0ms

Filtered

70 candidates to 44 candidates (37.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	6	71

Merged error: 0.0b

Counts

71 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
0.2b	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
0.7b	(cbrt z)
0.7b	(cbrt z)

rewrite31.0ms

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))))
12.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series135.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
52.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
23.0ms	(cbrt z)
22.0ms	(cbrt z)

simplify47.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (38.0ms)

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

prune118.0ms

Filtered

87 candidates to 60 candidates (31.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	88	5	93

Merged error: 0.0b

Counts

93 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (- (+ (* 2 (log (cbrt z))) 1.0) z))
0.2b	(* y (log (cbrt z)))
0.7b	(cbrt z)
0.7b	(cbrt z)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

9.0ms	(* y (- (+ (* 2 (log (cbrt z))) 1.0) z))
5.0ms	(* y (log (cbrt z)))
2.0ms	(cbrt z)
1.0ms	(cbrt z)

series104.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* y (- (+ (* 2 (log (cbrt z))) 1.0) z))
22.0ms	(* y (log (cbrt z)))
23.0ms	(cbrt z)
22.0ms	(cbrt z)

simplify47.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	322	577
1	1237	513
2	5001	479

prune114.0ms

Filtered

94 candidates to 63 candidates (33.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	94	5	99

Merged error: 0.0b

Counts

99 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- 1.0 z))
0.0b	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
0.1b	(+ (* y (- 1.0 z)) (* y (log z)))
0.3b	(* y (log z))

rewrite33.0ms

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:

6.0ms	(* y (- 1.0 z))
8.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
10.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
5.0ms	(* y (log z))

series43.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* y (- 1.0 z))
15.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
15.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
8.0ms	(* y (log z))

simplify69.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (61.0ms)

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

prune90.0ms

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: 0.0b

Counts

103 → 5

regimes455.0ms

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	23	12
1	23	12

end0.0ms

sample1.4s

Algorithm

intervals

Results

437.0ms	9146×	body	80	valid
342.0ms	9064×	body	80	nan

Details

sample51.0ms

simplify72.0ms

prune4.0ms

localize10.0ms

rewrite25.0ms

series47.0ms

simplify54.0ms

prune96.0ms

localize17.0ms

rewrite31.0ms

series135.0ms

simplify47.0ms

prune118.0ms

localize16.0ms

rewrite20.0ms

series104.0ms

simplify47.0ms

prune114.0ms

localize12.0ms

rewrite33.0ms

series43.0ms

simplify69.0ms

prune90.0ms

regimes455.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

Profiling