Details

sample200.0ms

Algorithm

intervals

Results

112.0ms	1870×	body	80	nan
17.0ms	256×	body	80	valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	9
1	59	9
2	153	9
3	360	9
4	813	9
5	1639	9
6	3143	9
7	5001	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: 0.3b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(* (- a 0.5) (log t))
0.2b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.5b	(+ (log (+ x y)) (log z))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

7.0ms	(- (+ (log (+ x y)) (log z)) t)
7.0ms	(* (- a 0.5) (log t))
12.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
7.0ms	(+ (log (+ x y)) (log z))

series505.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(- (+ (log (+ x y)) (log z)) t)
60.0ms	(* (- a 0.5) (log t))
201.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
75.0ms	(+ (log (+ x y)) (log z))

simplify59.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	618	1003
1	2230	940
2	5001	924

prune350.0ms

Filtered

114 candidates to 80 candidates (70.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	106	8	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	8	115

Merged error: 0.0b

Counts

115 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a 0.5) (log t))
0.2b	(+ (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- a 0.5) (log t)))
0.4b	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
0.4b	(+ (log (sqrt (+ x y))) (log z))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
29×	`log-prod`
24×	`pow1` `distribute-lft-out`
19×	`add-sqr-sqrt`
18×	`log-pow`
17×	`associate-+l+`
15×	`add-cube-cbrt` `add-log-exp`
11×	`sum-log`
10×	`associate-+r+`
8×	`sqrt-prod`
7×	`associate-+l-`
6×	`add-exp-log` `distribute-rgt-in` `log-div` `distribute-lft-in` `flip3-+` `sqrt-div` `associate-*l/` `add-cbrt-cube` `flip-+`
5×	`flip3--` `associate-l` `flip--`
4×	`associate-r` `frac-add`
3×	`+-commutative` `diff-log`
2×	`associate-+r-`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

7.0ms	(* (- a 0.5) (log t))
18.0ms	(+ (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- a 0.5) (log t)))
15.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
8.0ms	(+ (log (sqrt (+ x y))) (log z))

series586.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (- a 0.5) (log t))
286.0ms	(+ (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- a 0.5) (log t)))
131.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
113.0ms	(+ (log (sqrt (+ x y))) (log z))

simplify75.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	780	1487
1	2817	1345
2	5001	1330

prune417.0ms

Filtered

130 candidates to 92 candidates (70.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	130	8	138

Merged error: 0.0b

Counts

138 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a 0.5) (log t))
0.1b	(+ (- (+ (log (sqrt (+ x y))) (log z)) t) (* (- a 0.5) (log t)))
0.2b	(+ (log (sqrt (+ x y))) (+ (- (+ (log (sqrt (+ x y))) (log z)) t) (* (- a 0.5) (log t))))
0.4b	(+ (log (sqrt (+ x y))) (log z))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

29×	`log-prod`
28×	`*-un-lft-identity`
19×	`add-sqr-sqrt` `add-log-exp`
17×	`associate-+l+`
15×	`add-cube-cbrt`
13×	`sum-log`
12×	`pow1`
10×	`associate-+r+`
8×	`sqrt-prod` `distribute-lft-out`
6×	`add-exp-log` `distribute-rgt-in` `associate-+l-` `distribute-lft-in` `associate-*l/` `log-pow` `add-cbrt-cube`
5×	`flip3--` `flip3-+` `associate-l` `flip--` `flip-+`
4×	`log-div` `sqrt-div` `diff-log` `associate-r` `frac-add`
3×	`+-commutative`
1×	`associate-+r-` `sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 110

Calls

4 calls:

7.0ms	(* (- a 0.5) (log t))
12.0ms	(+ (- (+ (log (sqrt (+ x y))) (log z)) t) (* (- a 0.5) (log t)))
16.0ms	(+ (log (sqrt (+ x y))) (+ (- (+ (log (sqrt (+ x y))) (log z)) t) (* (- a 0.5) (log t))))
8.0ms	(+ (log (sqrt (+ x y))) (log z))

series730.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (- a 0.5) (log t))
255.0ms	(+ (- (+ (log (sqrt (+ x y))) (log z)) t) (* (- a 0.5) (log t)))
301.0ms	(+ (log (sqrt (+ x y))) (+ (- (+ (log (sqrt (+ x y))) (log z)) t) (* (- a 0.5) (log t))))
112.0ms	(+ (log (sqrt (+ x y))) (log z))

simplify73.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	777	1442
1	2891	1336
2	5003	1318

prune407.0ms

Filtered

122 candidates to 89 candidates (73.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	122	8	130

Merged error: 0.0b

Counts

130 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(+ (log (+ x y)) (log z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

43×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
26×	`*-un-lft-identity`
24×	`cbrt-prod`
20×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`associate-+r+`
8×	`pow1` `associate-*l/`
6×	`distribute-lft-out` `add-log-exp`
4×	`add-exp-log` `flip3--` `frac-add` `log-pow` `add-cbrt-cube` `flip--`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `pow1/3` `sum-log`

Counts

4 → 98

Calls

4 calls:

14.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
6.0ms	(+ (log (+ x y)) (log z))

series621.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
183.0ms	(cbrt t)
185.0ms	(cbrt t)
77.0ms	(+ (log (+ x y)) (log z))

simplify64.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	598	898
1	2124	774
2	5001	748

prune475.0ms

Filtered

110 candidates to 98 candidates (89.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	109	9	118

Merged error: 0.0b

Counts

118 → 9

regimes606.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	14
1	22	14

end0.0ms

sample5.7s

Algorithm

intervals

Results

3.2s	55627×	body	80	nan
543.0ms	8022×	body	80	valid

Details

sample200.0ms

simplify60.0ms

prune3.0ms

localize15.0ms

rewrite36.0ms

series505.0ms

simplify59.0ms

prune350.0ms

localize17.0ms

rewrite52.0ms

series586.0ms

simplify75.0ms

prune417.0ms

localize20.0ms

rewrite47.0ms

series730.0ms

simplify73.0ms

prune407.0ms

localize24.0ms

rewrite26.0ms

series621.0ms

simplify64.0ms

prune475.0ms

regimes606.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.7s

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