Details

sample118.0ms

Algorithm

intervals

Results

45.0ms	767×	body	80	nan
18.0ms	282×	body	80	valid
0.0ms	1×	body	640	valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	38	11
1	101	11
2	428	11
3	1514	11
4	4620	11
5	5001	11

prune4.0ms

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

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

15.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
14.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
7.0ms	(* (- b 0.5) (log c))
5.0ms	(* x (log y))

series869.0ms

Counts

4 → 12

Calls

4 calls:

530.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
243.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
58.0ms	(* (- b 0.5) (log c))
38.0ms	(* x (log y))

simplify70.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	647	1027
1	2625	970
2	5001	954

prune361.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	101	6	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	6	108

Merged error: 0.0b

Counts

108 → 6

localize28.0ms

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)

rewrite23.0ms

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:

6.0ms	(* x (log (cbrt y)))
10.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series556.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* x (log (cbrt y)))
103.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
183.0ms	(cbrt y)
176.0ms	(cbrt y)

simplify55.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (46.0ms)

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

prune572.0ms

Filtered

114 candidates to 92 candidates (80.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	113	7	120

Merged error: 0.0b

Counts

120 → 7

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.3b	(* x (log y))
0.5b	(cbrt c)
0.5b	(cbrt c)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod`
33×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod` `add-sqr-sqrt` `associate-+l+`
22×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-+r+`
8×	`associate-*l/`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`flip3--` `associate-r` `frac-add` `flip--`
3×	`associate-l`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

14.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
5.0ms	(* x (log y))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series563.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
36.0ms	(* x (log y))
182.0ms	(cbrt c)
174.0ms	(cbrt c)

simplify67.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	549	851
1	2155	729
2	5003	698

prune576.0ms

Filtered

111 candidates to 94 candidates (84.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	108	3	111
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	109	9	118

Merged error: 0.0b

Counts

118 → 9

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.3b	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (pow c 1/3))))
0.5b	(cbrt c)
5.0b	(pow c 1/3)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

44×	`log-prod`
34×	`distribute-rgt-in` `distribute-lft-in`
25×	`add-sqr-sqrt`
24×	`associate-+l+`
23×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
14×	`associate-+r+`
9×	`unpow-prod-down`
8×	`pow1` `associate-*l/`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
4×	`flip3--` `associate-r` `frac-add` `flip--`
3×	`pow-unpow` `associate-l` `sqr-pow`
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 → 108

Calls

4 calls:

5.0ms	(* x (log y))
15.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (pow c 1/3))))
1.0ms	(cbrt c)
2.0ms	(pow c 1/3)

series622.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* x (log y))
234.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (pow c 1/3))))
178.0ms	(cbrt c)
172.0ms	(pow c 1/3)

simplify81.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	659	892
1	2528	762
2	5002	711

prune593.0ms

Filtered

120 candidates to 97 candidates (80.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	120	9	129

Merged error: 0.0b

Counts

129 → 9

regimes821.0ms

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	36	17
1	36	17

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.6s	27029×	body	80	nan
589.0ms	9130×	body	80	valid
1.0ms	3×	body	640	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid