Details

sample35.0ms

Algorithm

intervals

Results

11.0ms	258×	body	80	valid
6.0ms	189×	body	80	nan

simplify132.0ms

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

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

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

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:

8.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
4.0ms	(- x (* (+ y 0.5) (log y)))
11.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
12.0ms	(* (+ y 0.5) (log y))

series72.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
15.0ms	(- x (* (+ y 0.5) (log y)))
20.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
22.0ms	(* (+ y 0.5) (log y))

simplify46.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (38.0ms)

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

prune134.0ms

Filtered

67 candidates to 93 candidates (-38.8%)

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

rewrite22.0ms

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:

7.0ms	(- (+ x (- y (* (log y) (+ y 0.5)))) z)
5.0ms	(+ x (- y (* (log y) (+ y 0.5))))
3.0ms	(- y (* (log y) (+ y 0.5)))
6.0ms	(* (log y) (+ y 0.5))

series84.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(- (+ x (- y (* (log y) (+ y 0.5)))) z)
11.0ms	(+ x (- y (* (log y) (+ y 0.5))))
35.0ms	(- y (* (log y) (+ y 0.5)))
23.0ms	(* (log y) (+ y 0.5))

simplify62.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (55.0ms)

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

prune153.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

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

Merged error: 0.0b

Counts

94 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ 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)

series216.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
106.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
23.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify68.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (56.0ms)

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

prune165.0ms

Filtered

87 candidates to 120 candidates (-37.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	120	9	129

Merged error: 0.0b

Counts

129 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ y 0.5))
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)))
0.5b	(* (sqrt (+ y 0.5)) (log y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

3.0ms	(sqrt (+ y 0.5))
6.0ms	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
13.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
8.0ms	(* (sqrt (+ y 0.5)) (log y))

series49.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (+ y 0.5))
11.0ms	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
21.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
14.0ms	(* (sqrt (+ y 0.5)) (log y))

simplify70.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	747	1109
1	2897	962
2	5002	926

prune168.0ms

Filtered

78 candidates to 118 candidates (-51.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	4	2	6
Picked	0	1	1
Done	0	2	2
Total	120	7	127

Merged error: 0b

Counts

127 → 7

regimes261.0ms

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

sample928.0ms

Algorithm

intervals

Results

347.0ms	8036×	body	80	valid
192.0ms	5551×	body	80	nan

Details

sample35.0ms

simplify132.0ms

prune4.0ms

localize12.0ms

rewrite37.0ms

series72.0ms

simplify46.0ms

prune134.0ms

localize9.0ms

rewrite22.0ms

series84.0ms

simplify62.0ms

prune153.0ms

localize14.0ms

rewrite28.0ms

series216.0ms

simplify68.0ms

prune165.0ms

localize12.0ms

rewrite33.0ms

series49.0ms

simplify70.0ms

prune168.0ms

regimes261.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample928.0ms

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