Details

sample43.0ms

Algorithm

intervals

Results

12.0ms	270×	body	80	nan
10.0ms	257×	body	80	valid

simplify137.0ms

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)
0.2b	(* (+ 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))

series56.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- x (* (+ y 0.5) (log y)))
15.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
13.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
20.0ms	(* (+ y 0.5) (log y))

simplify47.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (40.0ms)

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

prune134.0ms

Filtered

93 candidates to 67 candidates (28.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	84	9	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
15×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
7×	`pow1`
6×	`add-exp-log` `add-cube-cbrt` `diff-log` `add-cbrt-cube`
4×	`associate-r` `associate-l` `sum-log`
3×	`sub-neg` `distribute-lft-out`
2×	`distribute-rgt-in` `associate-+r-` `associate-+r+` `flip3--` `distribute-lft-in` `flip3-+` `associate-*r/` `flip--` `flip-+` `associate--r+` `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 → 73

Calls

4 calls:

4.0ms	(+ x (- y (* (log y) (+ y 0.5))))
6.0ms	(- (+ x (- y (* (log y) (+ y 0.5)))) z)
6.0ms	(* (log y) (+ y 0.5))
3.0ms	(- y (* (log y) (+ y 0.5)))

series79.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ x (- y (* (log y) (+ y 0.5))))
15.0ms	(- (+ x (- y (* (log y) (+ y 0.5)))) z)
21.0ms	(* (log y) (+ y 0.5))
33.0ms	(- y (* (log y) (+ y 0.5)))

simplify49.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	437	605
1	1779	551
2	5001	534

prune113.0ms

Filtered

85 candidates to 60 candidates (29.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

8.0ms	(- (+ x (- (- y (* y (log y))) (* (log y) 0.5))) z)
5.0ms	(- (- y (* y (log y))) (* (log y) 0.5))
3.0ms	(- y (* y (log y)))
6.0ms	(* y (log y))

series80.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (+ x (- (- y (* y (log y))) (* (log y) 0.5))) z)
35.0ms	(- (- y (* y (log y))) (* (log y) 0.5))
15.0ms	(- y (* y (log y)))
14.0ms	(* y (log y))

simplify47.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	440	666
1	1670	573
2	5001	535

prune104.0ms

Filtered

91 candidates to 60 candidates (34.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	93	7	100

Merged error: 0b

Counts

100 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (+ 1 (* -2 (log (cbrt y)))))
0.3b	(* y (log (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

5.0ms	(* y (+ 1 (* -2 (log (cbrt y)))))
5.0ms	(* y (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series138.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* y (+ 1 (* -2 (log (cbrt y)))))
44.0ms	(* y (log (cbrt y)))
23.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify40.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	301	498
1	1247	422
2	5001	402

prune91.0ms

Filtered

88 candidates to 61 candidates (30.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	88	7	95

Merged error: 0b

Counts

95 → 7

regimes244.0ms

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	14	8
1	14	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

328.0ms	8041×	body	80	valid
258.0ms	7884×	body	80	nan

Details

sample43.0ms

simplify137.0ms

prune3.0ms

localize9.0ms

rewrite24.0ms

series56.0ms

simplify47.0ms

prune134.0ms

localize9.0ms

rewrite21.0ms

series79.0ms

simplify49.0ms

prune113.0ms

localize10.0ms

rewrite24.0ms

series80.0ms

simplify47.0ms

prune104.0ms

localize17.0ms

rewrite14.0ms

series138.0ms

simplify40.0ms

prune91.0ms

regimes244.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

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