Details

sample147.0ms

Algorithm

intervals

Results

48.0ms	793×	body	80	nan
15.0ms	165×	body	80	valid
12.0ms	17×	body	1280	valid
10.0ms	26×	body	640	valid
7.0ms	33×	body	320	valid
2.0ms	16×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	97	13
1	97	13

prune9.0ms

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: 12.5b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) (* z (log (- 1.0 y))))
0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.3b	(* x (log y))
6.0b	(log (- 1.0 y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

7.0ms	(+ (* x (log y)) (* z (log (- 1.0 y))))
6.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
4.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series43.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (* x (log y)) (* z (log (- 1.0 y))))
19.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
7.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

simplify48.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4983	1073
1	4983	1073

prune178.0ms

Filtered

74 candidates to 96 candidates (-29.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	87	9	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	9	97

Merged error: 0.1b

Counts

97 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))) t)
0.0b	(* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
0.0b	(+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
0.3b	(* x (log y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

6.0ms	(- (+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))) t)
13.0ms	(* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
9.0ms	(+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
8.0ms	(* x (log y))

series80.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))) t)
14.0ms	(* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
25.0ms	(+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
7.0ms	(* x (log y))

simplify27.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	5044	1687

prune173.0ms

Filtered

71 candidates to 96 candidates (-35.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	98	7	105

Merged error: 0.0b

Counts

105 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (+ 1.0 y))
0.3b	(* x (log y))
1.7b	(log (- (pow 1.0 3) (pow y 3)))
5.8b	(log (+ (* 1.0 1.0) (* y (+ 1.0 y))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
34×	`log-prod`
24×	`*-un-lft-identity`
16×	`difference-of-squares`
12×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
11×	`pow1`
10×	`add-exp-log`
8×	`associate-r` `add-cbrt-cube` `sqr-pow`
6×	`associate-l`
5×	`distribute-lft-out--`
4×	`distribute-rgt-in` `log-div` `distribute-lft-in` `add-log-exp`
3×	`log-pow`
2×	`flip3-+` `associate-r/` `rem-log-exp` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`difference-cubes` `flip3--` `flip--` `distribute-lft-out`

Counts

4 → 98

Calls

4 calls:

6.0ms	(* y (+ 1.0 y))
4.0ms	(* x (log y))
11.0ms	(log (- (pow 1.0 3) (pow y 3)))
3.0ms	(log (+ (* 1.0 1.0) (* y (+ 1.0 y))))

series32.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* y (+ 1.0 y))
7.0ms	(* x (log y))
16.0ms	(log (- (pow 1.0 3) (pow y 3)))
4.0ms	(log (+ (* 1.0 1.0) (* y (+ 1.0 y))))

simplify69.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4977	1158
1	4977	1158

prune208.0ms

Filtered

65 candidates to 110 candidates (-69.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	110	7	117

Merged error: 0.0b

Counts

117 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
1.7b	(log (- (pow 1.0 3) (pow y 3)))
5.8b	(log (+ (* 1.0 1.0) (* y (+ 1.0 y))))
5.8b	(log (+ (* 1.0 1.0) (* y (+ 1.0 y))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt` `log-prod`
21×	`*-un-lft-identity`
16×	`difference-of-squares`
12×	`unpow-prod-down` `cube-prod`
11×	`add-cube-cbrt`
10×	`pow1`
9×	`add-exp-log`
8×	`sqr-pow`
6×	`log-div` `add-cbrt-cube`
5×	`distribute-lft-out--`
4×	`associate-r` `log-pow` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `rem-log-exp` `associate-l`
2×	`flip3-+` `flip-+`
1×	`difference-cubes` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

4.0ms	(* x (log y))
11.0ms	(log (- (pow 1.0 3) (pow y 3)))
4.0ms	(log (+ (* 1.0 1.0) (* y (+ 1.0 y))))
4.0ms	(log (+ (* 1.0 1.0) (* y (+ 1.0 y))))

series30.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* x (log y))
13.0ms	(log (- (pow 1.0 3) (pow y 3)))
4.0ms	(log (+ (* 1.0 1.0) (* y (+ 1.0 y))))
4.0ms	(log (+ (* 1.0 1.0) (* y (+ 1.0 y))))

simplify76.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5026	1251

prune232.0ms

Filtered

63 candidates to 101 candidates (-60.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	101	7	108

Merged error: 0.0b

Counts

108 → 7

regimes312.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	25
1	26	25

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.4s	24392×	body	80	nan
359.0ms	5601×	body	80	valid
293.0ms	840×	body	640	valid
270.0ms	410×	body	1280	valid
163.0ms	758×	body	320	valid
58.0ms	422×	body	160	valid

Details

sample147.0ms

simplify4.0ms

prune9.0ms

localize11.0ms

rewrite22.0ms

series43.0ms

simplify48.0ms

prune178.0ms

localize21.0ms

rewrite38.0ms

series80.0ms

simplify27.0ms

prune173.0ms

localize20.0ms

rewrite28.0ms

series32.0ms

simplify69.0ms

prune208.0ms

localize23.0ms

rewrite25.0ms

series30.0ms

simplify76.0ms

prune232.0ms

regimes312.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.9s

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