Details

sample55.0ms

Algorithm

intervals

Results

19.0ms	296×	body	80	valid
13.0ms	264×	body	80	nan

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	8
1	85	8
2	273	8
3	800	8
4	2123	8
5	5001	8

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: 0.1b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a 0.5) b)
0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

6.0ms	(* (- a 0.5) b)
11.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
8.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series225.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (- a 0.5) b)
121.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
32.0ms	(- (+ (+ x y) z) (* z (log t)))
40.0ms	(* z (log t))

simplify71.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	540	767
1	2622	717
2	5003	712

prune276.0ms

Filtered

102 candidates to 72 candidates (70.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	94	8	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	8	103

Merged error: 0b

Counts

103 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (log (cbrt t)))
0.3b	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite20.0ms

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:

5.0ms	(* z (log (cbrt t)))
9.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series530.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* z (log (cbrt t)))
96.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
175.0ms	(cbrt t)
171.0ms	(cbrt t)

simplify52.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	346	729
1	1432	634
2	5001	547

prune398.0ms

Filtered

114 candidates to 93 candidates (81.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	114	8	122

Merged error: 0b

Counts

122 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a 0.5) b)
0.0b	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
0.3b	(* z (log t))
0.3b	(- z (* z (log t)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

6.0ms	(* (- a 0.5) b)
11.0ms	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
4.0ms	(* z (log t))
3.0ms	(- z (* z (log t)))

series243.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- a 0.5) b)
134.0ms	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
34.0ms	(* z (log t))
46.0ms	(- z (* z (log t)))

simplify124.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (112.0ms)

Iter	Nodes	Cost
0	884	1139
1	4435	1094
2	5001	1092

prune307.0ms

Filtered

106 candidates to 78 candidates (73.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	107	7	114

Merged error: 0b

Counts

114 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a 0.5) b)
0.0b	(+ (+ (+ x y) (* (- 1 (log t)) z)) (* (- a 0.5) b))
0.0b	(- 1 (log t))
0.3b	(* (- 1 (log t)) z)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-*l/`
21×	`add-sqr-sqrt`
20×	`frac-add`
19×	`*-un-lft-identity`
14×	`add-log-exp`
13×	`flip3--` `flip--`
12×	`associate-l`
10×	`pow1`
9×	`add-cube-cbrt`
8×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+`
6×	`associate-r` `sum-log`
5×	`distribute-lft-out--` `difference-of-squares`
3×	`log-prod` `associate--r+`
2×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sub-neg` `associate-+l+` `diff-log`

Counts

4 → 91

Calls

4 calls:

6.0ms	(* (- a 0.5) b)
10.0ms	(+ (+ (+ x y) (* (- 1 (log t)) z)) (* (- a 0.5) b))
4.0ms	(- 1 (log t))
7.0ms	(* (- 1 (log t)) z)

series417.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (- a 0.5) b)
190.0ms	(+ (+ (+ x y) (* (- 1 (log t)) z)) (* (- a 0.5) b))
118.0ms	(- 1 (log t))
66.0ms	(* (- 1 (log t)) z)

simplify128.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (108.0ms)

Iter	Nodes	Cost
0	859	1037
1	4296	994
2	5001	993

prune286.0ms

Filtered

103 candidates to 76 candidates (73.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	103	7	110

Merged error: 0b

Counts

110 → 7

regimes498.0ms

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	28	14
1	28	14

end0.0ms

sample1.6s

Algorithm

intervals

Results

547.0ms	9159×	body	80	valid
441.0ms	8900×	body	80	nan
0.0ms	1×	body	1280	valid

Details

sample55.0ms

simplify66.0ms

prune3.0ms

localize13.0ms

rewrite31.0ms

series225.0ms

simplify71.0ms

prune276.0ms

localize17.0ms

rewrite20.0ms

series530.0ms

simplify52.0ms

prune398.0ms

localize13.0ms

rewrite27.0ms

series243.0ms

simplify124.0ms

prune307.0ms

localize17.0ms

rewrite29.0ms

series417.0ms

simplify128.0ms

prune286.0ms

regimes498.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

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