Details

sample120.0ms

Algorithm

intervals

Results

57.0ms	895×	body	80	nan
18.0ms	256×	body	80	valid

simplify31.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	6
1	48	6
2	118	6
3	247	6
4	525	6
5	732	6
6	937	6
7	1108	6
8	1128	6
9	1128	6

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

5.0ms	(- (* x (log y)) y)
8.0ms	(- (- (* x (log y)) y) z)
12.0ms	(+ (- (- (* x (log y)) y) z) (log t))
5.0ms	(* x (log y))

series165.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (* x (log y)) y)
35.0ms	(- (- (* x (log y)) y) z)
41.0ms	(+ (- (- (* x (log y)) y) z) (log t))
36.0ms	(* x (log y))

simplify112.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	376	617
1	1219	584
2	4453	548
3	5002	548

prune234.0ms

Filtered

110 candidates to 76 candidates (69.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	105	5	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	5	111

Merged error: 0.0b

Counts

111 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

8.0ms	(- (- (* x (log y)) y) z)
13.0ms	(+ (- (- (* x (log y)) y) z) (log (sqrt t)))
16.0ms	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
8.0ms	(* x (log y))

series172.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (- (* x (log y)) y) z)
51.0ms	(+ (- (- (* x (log y)) y) z) (log (sqrt t)))
55.0ms	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
36.0ms	(* x (log y))

simplify45.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	452	964
1	1647	879
2	5001	828

prune244.0ms

Filtered

127 candidates to 79 candidates (62.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	127	5	132

Merged error: 0.0b

Counts

132 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

8.0ms	(* x (log (cbrt y)))
10.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series522.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* x (log (cbrt y)))
95.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
169.0ms	(cbrt y)
169.0ms	(cbrt y)

simplify56.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	345	729
1	1431	634
2	5001	547

prune338.0ms

Filtered

114 candidates to 92 candidates (80.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	114	5	119

Merged error: 0b

Counts

119 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (pow y 1/3)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
0.6b	(cbrt y)
5.2b	(pow y 1/3)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

52×	`log-prod`
38×	`distribute-rgt-in` `distribute-lft-in`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
24×	`associate-+l+`
15×	`cbrt-prod` `unpow-prod-down`
14×	`associate-+r+`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`sqr-pow`
4×	`associate-r`
3×	`pow-unpow` `associate-l`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

6.0ms	(* x (log (pow y 1/3)))
11.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series567.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* x (log (pow y 1/3)))
137.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
175.0ms	(cbrt y)
179.0ms	(pow y 1/3)

simplify62.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	445	770
1	1784	666
2	5001	518

prune355.0ms

Filtered

124 candidates to 94 candidates (75.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	124	5	129

Merged error: 0b

Counts

129 → 5

regimes248.0ms

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	15	10
1	15	10

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.0s	24300×	body	80	nan
416.0ms	8031×	body	80	valid
0.0ms	1×	body	1280	valid

Details

sample120.0ms

simplify31.0ms

prune2.0ms

localize10.0ms

rewrite35.0ms

series165.0ms

simplify112.0ms

prune234.0ms

localize12.0ms

rewrite49.0ms

series172.0ms

simplify45.0ms

prune244.0ms

localize15.0ms

rewrite25.0ms

series522.0ms

simplify56.0ms

prune338.0ms

localize22.0ms

rewrite28.0ms

series567.0ms

simplify62.0ms

prune355.0ms

regimes248.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

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