Details

sample46.0ms

Algorithm

intervals

Results

13.0ms	287×	body	80	valid
10.0ms	285×	body	80	nan

simplify54.0ms

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

prune7.0ms

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

localize10.0ms

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))))
6.0ms	(+ (- 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)))

simplify43.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (37.0ms)

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

prune89.0ms

Filtered

44 candidates to 70 candidates (-59.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	65	5	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	6	71

Merged error: 0.0b

Counts

71 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
0.2b	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
0.6b	(cbrt z)
0.6b	(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:

11.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
14.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series123.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
36.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
21.0ms	(cbrt z)
21.0ms	(cbrt z)

simplify38.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (30.0ms)

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

prune114.0ms

Filtered

60 candidates to 87 candidates (-45.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Merged error: 0b

Counts

93 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
18×	`distribute-lft-out`
15×	`pow1` `cbrt-prod`
13×	`add-sqr-sqrt` `associate-r`
11×	`add-cube-cbrt`
9×	`log-pow`
6×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
4×	`distribute-lft-out--` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

16.0ms	(* y (+ (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt (sqrt z)))) (log (cbrt (sqrt z)))))
1.0ms	(cbrt z)
2.0ms	(cbrt (sqrt z))
2.0ms	(cbrt (sqrt z))

series102.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* y (+ (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt (sqrt z)))) (log (cbrt (sqrt z)))))
24.0ms	(cbrt z)
15.0ms	(cbrt (sqrt z))
15.0ms	(cbrt (sqrt z))

simplify42.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	375	691
1	1433	604
2	5003	557

prune111.0ms

Filtered

58 candidates to 83 candidates (-43.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	83	5	88

Merged error: 0b

Counts

88 → 5

localize13.0ms

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))

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))

series39.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ (* 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))

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

prune91.0ms

Filtered

63 candidates to 98 candidates (-55.6%)

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

regimes279.0ms

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	26	16
1	26	16

end0.0ms

sample1.4s

Algorithm

intervals

Results

417.0ms	9159×	body	80	valid
331.0ms	9017×	body	80	nan

Details

sample46.0ms

simplify54.0ms

prune7.0ms

localize10.0ms

rewrite22.0ms

series40.0ms

simplify43.0ms

prune89.0ms

localize14.0ms

rewrite29.0ms

series123.0ms

simplify38.0ms

prune114.0ms

localize21.0ms

rewrite23.0ms

series102.0ms

simplify42.0ms

prune111.0ms

localize13.0ms

rewrite27.0ms

series39.0ms

simplify60.0ms

prune91.0ms

regimes279.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

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