Details

sample45.0ms

Algorithm

intervals

Results

15.0ms	258×	body	80	valid
8.0ms	235×	body	80	nan

simplify158.0ms

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

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 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)
0.1b	(* (+ 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))

series60.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- x (* (+ y 0.5) (log y)))
19.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
11.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
21.0ms	(* (+ y 0.5) (log y))

simplify52.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (44.0ms)

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

prune473.0ms

Filtered

93 candidates to 67 candidates (28.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	84	9	93
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	10	94

Merged error: 0.0b

Counts

94 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ y 0.5) (* 2 (log (cbrt y))))
0.3b	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

49×	`distribute-rgt-in` `distribute-lft-in`
48×	`log-prod`
30×	`cbrt-prod`
25×	`*-un-lft-identity`
24×	`associate-+l+`
23×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `associate-*l/` `flip-+` `add-log-exp`
4×	`associate-r/` `associate-l*` `frac-add`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-+r+` `pow1/3`
1×	`+-commutative` `associate-r` `sum-log` `*-commutative` `distribute-lft-out`

Counts

4 → 108

Calls

4 calls:

9.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
12.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series222.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
109.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
26.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify76.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	692	1152
1	2432	1025
2	5003	966

prune1.3s

Filtered

120 candidates to 87 candidates (27.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	121	9	130

Merged error: 0.0b

Counts

130 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (log (cbrt y)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
0.2b	(* (log (cbrt y)) (+ y (* (+ y 0.5) 2)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

6.0ms	(+ (* (log (cbrt y)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
6.0ms	(* (log (cbrt y)) (+ y (* (+ y 0.5) 2)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series218.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(+ (* (log (cbrt y)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
63.0ms	(* (log (cbrt y)) (+ y (* (+ y 0.5) 2)))
22.0ms	(cbrt y)
24.0ms	(cbrt y)

simplify49.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	371	570
1	1416	499
2	5002	438

prune546.0ms

Filtered

72 candidates to 54 candidates (25.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	72	9	81

Merged error: 0.0b

Counts

81 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y) z)
0.1b	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
0.4b	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
0.4b	(* (sqrt (+ y 0.5)) (log y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

7.0ms	(- (+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y) z)
5.0ms	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
12.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
7.0ms	(* (sqrt (+ y 0.5)) (log y))

series63.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y) z)
11.0ms	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
20.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
12.0ms	(* (sqrt (+ y 0.5)) (log y))

simplify75.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	767	1286
1	2956	1099
2	5001	1060

prune918.0ms

Filtered

121 candidates to 78 candidates (35.5%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	121	9	130

Merged error: 0.0b

Counts

130 → 9

regimes386.0ms

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	13	6
1	13	6

end0.0ms

sample1.1s

Algorithm

intervals

Results

320.0ms	8045×	body	80	valid
245.0ms	7851×	body	80	nan
0.0ms	1×	body	320	valid

Details

sample45.0ms

simplify158.0ms

prune4.0ms

localize9.0ms

rewrite24.0ms

series60.0ms

simplify52.0ms

prune473.0ms

localize18.0ms

rewrite28.0ms

series222.0ms

simplify76.0ms

prune1.3s

localize15.0ms

rewrite16.0ms

series218.0ms

simplify49.0ms

prune546.0ms

localize14.0ms

rewrite35.0ms

series63.0ms

simplify75.0ms

prune918.0ms

regimes386.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

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