Details

sample131.0ms

Algorithm

intervals

Results

53.0ms	796×	body	80	nan
14.0ms	187×	body	80	valid
13.0ms	25×	body	640	valid
8.0ms	9×	body	1280	valid
6.0ms	26×	body	320	valid
2.0ms	13×	body	160	valid

simplify133.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	9
1	49	9
2	118	9
3	256	9
4	533	9
5	1250	9
6	2637	9
7	4297	9
8	4573	9
9	4588	9
10	4588	9

prune3.0ms

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: 6.3b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.2b	(* (- x 1.0) (log y))
4.8b	(log (- 1.0 y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

9.0ms	(* (- z 1.0) (log (- 1.0 y)))
16.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
7.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

series303.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (- z 1.0) (log (- 1.0 y)))
158.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
62.0ms	(* (- x 1.0) (log y))
42.0ms	(log (- 1.0 y))

simplify49.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	498	803
1	1805	714
2	5001	701

prune281.0ms

Filtered

106 candidates to 75 candidates (70.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	98	8	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	8	107

Merged error: 0.1b

Counts

107 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
0.0b	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.2b	(* (- x 1.0) (log y))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
80×	`times-frac`
72×	`associate-r`
56×	`unpow-prod-down`
50×	`*-un-lft-identity`
46×	`add-cube-cbrt`
29×	`add-exp-log`
24×	`unpow2` `sqr-pow`
22×	`flip3--` `associate-*l/` `flip--`
18×	`log-prod` `unswap-sqr`
16×	`frac-add`
11×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `add-cbrt-cube` `add-log-exp`
10×	`associate-+r+`
9×	`pow1` `div-exp`
8×	`frac-times` `associate-l`
7×	`associate--l+`
6×	`pow-to-exp` `associate-+l+` `pow-exp`
5×	`associate-*r/`
3×	`sub-neg` `cbrt-unprod`
2×	`diff-log` `pow-prod-down` `sum-log` `*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `log-pow` `flip-+` `div-inv`

Counts

4 → 198

Calls

4 calls:

12.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
22.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
11.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
7.0ms	(* (- x 1.0) (log y))

series528.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
60.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
145.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
63.0ms	(* (- x 1.0) (log y))

simplify55.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1301	2619
1	5001	2421

prune733.0ms

Filtered

210 candidates to 148 candidates (70.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	207	3	210
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	211	7	218

Merged error: 0.0b

Counts

218 → 7

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 1.0) (log (cbrt y)))
0.3b	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

8.0ms	(* (- x 1.0) (log (cbrt y)))
11.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series771.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (- x 1.0) (log (cbrt y)))
291.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
176.0ms	(cbrt y)
176.0ms	(cbrt y)

simplify65.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	450	835
1	2041	746
2	5002	703

prune499.0ms

Filtered

101 candidates to 78 candidates (77.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	97	4	101
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	99	9	108

Merged error: 0.0b

Counts

108 → 9

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 1.0) (log (pow y 1/3)))
0.3b	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (pow y 1/3))))
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod`
21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`distribute-rgt-in` `distribute-lft-in`
15×	`unpow-prod-down`
14×	`associate-+r+`
7×	`pow1` `add-exp-log`
6×	`associate-*l/` `add-cbrt-cube` `add-log-exp`
5×	`flip3--` `associate-l` `flip--` `sqr-pow`
4×	`associate-+l+` `associate-r/` `associate-r*` `frac-add`
3×	`cbrt-prod` `pow-unpow`
2×	`sub-neg`
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--` `difference-of-squares` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

8.0ms	(* (- x 1.0) (log (pow y 1/3)))
12.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (pow y 1/3))))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series889.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (- x 1.0) (log (pow y 1/3)))
431.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (pow y 1/3))))
180.0ms	(cbrt y)
170.0ms	(pow y 1/3)

simplify78.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	565	902
1	2477	789
2	5001	752

prune512.0ms

Filtered

111 candidates to 81 candidates (73.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	111	9	120

Merged error: 0.0b

Counts

120 → 9

regimes341.0ms

Accuracy

0% (0.4b 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 (0.0ms)

Iter	Nodes	Cost
0	38	22
1	38	22

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.6s	24100×	body	80	nan
434.0ms	5863×	body	80	valid
296.0ms	782×	body	640	valid
198.0ms	284×	body	1280	valid
169.0ms	689×	body	320	valid
63.0ms	417×	body	160	valid

Details

sample131.0ms

simplify133.0ms

prune3.0ms

localize14.0ms

rewrite38.0ms

series303.0ms

simplify49.0ms

prune281.0ms

localize21.0ms

rewrite63.0ms

series528.0ms

simplify55.0ms

prune733.0ms

localize26.0ms

rewrite25.0ms

series771.0ms

simplify65.0ms

prune499.0ms

localize34.0ms

rewrite27.0ms

series889.0ms

simplify78.0ms

prune512.0ms

regimes341.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.7s

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