Details

sample80.0ms

Algorithm

intervals

Results

32.0ms	761×	body	80	nan
17.0ms	260×	body	80	valid

simplify33.0ms

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

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

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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:

11.0ms	(+ (- (- (* x (log y)) y) z) (log t))
7.0ms	(- (- (* x (log y)) y) z)
4.0ms	(- (* x (log y)) y)
4.0ms	(* x (log y))

series175.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (- (- (* x (log y)) y) z) (log t))
37.0ms	(- (- (* x (log y)) y) z)
54.0ms	(- (* x (log y)) y)
42.0ms	(* x (log y))

simplify104.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	376	617
1	1219	584
2	4445	548
3	5001	548

prune216.0ms

Filtered

110 candidates to 76 candidates (69.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	105	5	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	105	6	111

Merged error: 0.0b

Counts

111 → 6

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)

rewrite22.0ms

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

series577.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* x (log (cbrt y)))
99.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
208.0ms	(cbrt y)
179.0ms	(cbrt y)

simplify52.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (44.0ms)

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

prune339.0ms

Filtered

114 candidates to 91 candidates (79.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	114	6	120

Merged error: 0b

Counts

120 → 6

localize23.0ms

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)
5.1b	(pow y 1/3)

rewrite24.0ms

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:

5.0ms	(* x (log (pow y 1/3)))
10.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series782.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* x (log (pow y 1/3)))
139.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
377.0ms	(cbrt y)
182.0ms	(pow y 1/3)

simplify68.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (58.0ms)

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

prune389.0ms

Filtered

124 candidates to 93 candidates (75.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	124	6	130

Merged error: 0b

Counts

130 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 3 (* x (log (pow (/ 1 y) -1/3)))) y)
0.3b	(* x (log (pow (/ 1 y) -1/3)))
0.3b	(* 3 (* x (log (pow (/ 1 y) -1/3))))
5.1b	(pow (/ 1 y) -1/3)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

170×	`log-prod`
153×	`distribute-rgt-in` `distribute-lft-in`
143×	`unpow-prod-down`
99×	`times-frac`
97×	`add-sqr-sqrt`
95×	`add-cube-cbrt` `*-un-lft-identity`
68×	`associate--l+`
16×	`add-exp-log`
13×	`pow1`
11×	`add-cbrt-cube` `div-inv` `sqr-pow`
6×	`associate-l` `add-log-exp`
5×	`associate-r`
4×	`pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod`
3×	`pow-unpow` `pow-pow`
2×	`div-exp` `*-commutative`
1×	`pow-to-exp` `sub-neg` `rec-exp` `flip3--` `pow-flip` `diff-log` `1-exp` `log-pow` `flip--` `inv-pow` `unswap-sqr`

Counts

4 → 251

Calls

4 calls:

13.0ms	(- (* 3 (* x (log (pow (/ 1 y) -1/3)))) y)
8.0ms	(* x (log (pow (/ 1 y) -1/3)))
11.0ms	(* 3 (* x (log (pow (/ 1 y) -1/3))))
10.0ms	(pow (/ 1 y) -1/3)

series490.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(- (* 3 (* x (log (pow (/ 1 y) -1/3)))) y)
83.0ms	(* x (log (pow (/ 1 y) -1/3)))
90.0ms	(* 3 (* x (log (pow (/ 1 y) -1/3))))
180.0ms	(pow (/ 1 y) -1/3)

simplify97.0ms

Algorithm

egg-herbie

Counts

263 → 263

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	838	2240
1	2923	1897
2	5002	1808

prune583.0ms

Filtered

263 candidates to 150 candidates (57.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	263	0	263
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	263	6	269

Merged error: 0b

Counts

269 → 6

regimes263.0ms

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	12	6
1	12	6

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.0s	23560×	body	80	nan
430.0ms	8036×	body	80	valid
1.0ms	3×	body	640	valid
0.0ms	1×	body	1280	valid