Details

sample39.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
8.0ms	241×	body	80	nan

simplify123.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	4964	12
1	4964	12

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize10.0ms

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)
0.2b	(* (+ y 0.5) (log y))

rewrite26.0ms

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

series61.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
10.0ms	(- x (* (+ y 0.5) (log y)))
11.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
22.0ms	(* (+ y 0.5) (log y))

simplify62.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4990	1081
1	4990	1081

prune138.0ms

Filtered

67 candidates to 93 candidates (-38.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	85	8	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	8	94

Merged error: 0.0b

Counts

94 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- x (* (+ y 0.5) (log (sqrt y)))) (* (+ y 0.5) (log (sqrt y))))
0.1b	(+ (- (- x (* (+ y 0.5) (log (sqrt y)))) (* (+ y 0.5) (log (sqrt y)))) y)
0.2b	(* (+ y 0.5) (log (sqrt y)))
0.2b	(* (+ y 0.5) (log (sqrt y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
26×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
20×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `add-log-exp`
12×	`pow1` `associate-r` `associate--r+`
8×	`add-exp-log` `associate-l` `associate-*l/` `add-cbrt-cube`
6×	`diff-log` `log-pow`
5×	`flip3-+` `flip-+`
4×	`sub-neg` `associate-+l+` `associate--l+` `frac-sub`
3×	`flip3--` `sum-log` `flip--` `distribute-lft-out`
2×	`sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate--l-` `associate-+l-`

Counts

4 → 123

Calls

4 calls:

8.0ms	(- (- x (* (+ y 0.5) (log (sqrt y)))) (* (+ y 0.5) (log (sqrt y))))
9.0ms	(+ (- (- x (* (+ y 0.5) (log (sqrt y)))) (* (+ y 0.5) (log (sqrt y)))) y)
8.0ms	(* (+ y 0.5) (log (sqrt y)))
10.0ms	(* (+ y 0.5) (log (sqrt y)))

series45.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(- (- x (* (+ y 0.5) (log (sqrt y)))) (* (+ y 0.5) (log (sqrt y))))
16.0ms	(+ (- (- x (* (+ y 0.5) (log (sqrt y)))) (* (+ y 0.5) (log (sqrt y)))) y)
7.0ms	(* (+ y 0.5) (log (sqrt y)))
7.0ms	(* (+ y 0.5) (log (sqrt y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5154	1925

prune182.0ms

Filtered

90 candidates to 135 candidates (-50.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	137	6	143

Merged error: 0.0b

Counts

143 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- x (* (+ y 0.5) (log (sqrt y)))) (- y (* (+ y 0.5) (log (sqrt y)))))
0.1b	(- y (* (+ y 0.5) (log (sqrt y))))
0.2b	(* (+ y 0.5) (log (sqrt y)))
0.2b	(* (+ y 0.5) (log (sqrt y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
26×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
20×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `add-log-exp`
12×	`pow1` `associate-r` `associate--r+`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
6×	`log-pow`
5×	`flip3--` `diff-log` `flip--`
4×	`associate-*l/` `frac-add` `sum-log`
3×	`sub-neg` `flip3-+` `flip-+` `distribute-lft-out`
2×	`associate-+l+` `associate-+r+` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `associate-+r-`

Counts

4 → 121

Calls

4 calls:

8.0ms	(+ (- x (* (+ y 0.5) (log (sqrt y)))) (- y (* (+ y 0.5) (log (sqrt y)))))
4.0ms	(- y (* (+ y 0.5) (log (sqrt y))))
8.0ms	(* (+ y 0.5) (log (sqrt y)))
9.0ms	(* (+ y 0.5) (log (sqrt y)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ (- x (* (+ y 0.5) (log (sqrt y)))) (- y (* (+ y 0.5) (log (sqrt y)))))
15.0ms	(- y (* (+ y 0.5) (log (sqrt y))))
7.0ms	(* (+ y 0.5) (log (sqrt y)))
8.0ms	(* (+ y 0.5) (log (sqrt y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4975	2060
1	4975	2060

prune169.0ms

Filtered

87 candidates to 133 candidates (-52.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	132	7	139

Merged error: 0.0b

Counts

139 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (- x (* (+ y 0.5) (+ (log (sqrt y)) (log (fabs (cbrt y)))))) (* (+ y 0.5) (log (sqrt (cbrt y)))))
0.3b	(+ (log (sqrt y)) (log (fabs (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

27×	`log-prod`
19×	`*-un-lft-identity`
18×	`associate--r+`
15×	`add-sqr-sqrt` `add-cube-cbrt` `sqrt-prod`
12×	`cbrt-prod`
9×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
8×	`pow1`
6×	`associate-+l+`
4×	`add-exp-log` `associate-*l/` `log-pow` `frac-sub` `add-cbrt-cube` `distribute-lft-out`
3×	`associate-+r+` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+`
2×	`sub-neg` `pow1/3` `associate--l+`
1×	`+-commutative` `associate--l-` `sum-log`

Counts

4 → 84

Calls

4 calls:

9.0ms	(- (- x (* (+ y 0.5) (+ (log (sqrt y)) (log (fabs (cbrt y)))))) (* (+ y 0.5) (log (sqrt (cbrt y)))))
6.0ms	(+ (log (sqrt y)) (log (fabs (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series117.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (- x (* (+ y 0.5) (+ (log (sqrt y)) (log (fabs (cbrt y)))))) (* (+ y 0.5) (log (sqrt (cbrt y)))))
10.0ms	(+ (log (sqrt y)) (log (fabs (cbrt y))))
24.0ms	(cbrt y)
23.0ms	(cbrt y)

simplify38.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5372	1708

prune150.0ms

Filtered

76 candidates to 96 candidates (-26.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	97	6	103

Merged error: 0b

Counts

103 → 6

regimes189.0ms

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	67	21
1	67	21

end0.0ms

sample1.2s

Algorithm

intervals

Results

347.0ms	8038×	body	80	valid
280.0ms	8058×	body	80	nan
0.0ms	1×	body	640	valid

Details

sample39.0ms

simplify123.0ms

prune11.0ms

localize10.0ms

rewrite26.0ms

series61.0ms

simplify62.0ms

prune138.0ms

localize12.0ms

rewrite39.0ms

series45.0ms

simplify45.0ms

prune182.0ms

localize13.0ms

rewrite33.0ms

series47.0ms

simplify59.0ms

prune169.0ms

localize24.0ms

rewrite24.0ms

series117.0ms

simplify38.0ms

prune150.0ms

regimes189.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling