Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
7.0ms	248×	body	80	nan

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	41	4
3	52	4
4	85	4
5	106	4
6	141	4
7	215	4
8	236	4
9	236	4

prune2.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

7.0ms	(- (- (* x (log y)) z) y)
4.0ms	(* x (log y))

series72.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(- (- (* x (log y)) z) y)
41.0ms	(* x (log y))

simplify53.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	213	276
1	651	251
2	2033	235
3	5002	235

prune96.0ms

Filtered

55 candidates to 36 candidates (65.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	50	5	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	6	56

Merged error: 0.0b

Counts

56 → 6

localize12.0ms

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)

rewrite21.0ms

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)

series517.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* x (log (cbrt y)))
96.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
163.0ms	(cbrt y)
171.0ms	(cbrt y)

simplify51.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (43.0ms)

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

prune279.0ms

Filtered

114 candidates to 91 candidates (79.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	115	5	120

Merged error: 0b

Counts

120 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* 2/3 (log y)) (log (cbrt (sqrt y))))
0.4b	(* 2/3 (log y))
0.6b	(cbrt (sqrt y))
0.6b	(cbrt (sqrt y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

21×	`log-prod`
19×	`add-sqr-sqrt`
18×	`cbrt-prod`
17×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-+r+` `sqrt-prod`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `add-cbrt-cube`
5×	`add-log-exp`
4×	`associate-r`
3×	`associate-l`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

6.0ms	(+ (* 2/3 (log y)) (log (cbrt (sqrt y))))
4.0ms	(* 2/3 (log y))
2.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))

series716.0ms

Counts

4 → 12

Calls

4 calls:

295.0ms	(+ (* 2/3 (log y)) (log (cbrt (sqrt y))))
136.0ms	(* 2/3 (log y))
141.0ms	(cbrt (sqrt y))
143.0ms	(cbrt (sqrt y))

simplify102.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	302	523
1	890	479
2	3326	445
3	5001	445

prune261.0ms

Filtered

91 candidates to 67 candidates (73.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	92	4	96

Merged error: 0b

Counts

96 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt (sqrt y))))
0.3b	(* x (* (log y) 5/6))
0.3b	(* (log y) 5/6)
0.6b	(cbrt (sqrt y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`cbrt-prod` `log-prod`
17×	`add-cube-cbrt` `*-un-lft-identity`
15×	`pow1`
13×	`add-exp-log` `add-cbrt-cube`
10×	`associate-l`
9×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `sqrt-prod`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`log-pow` `*-commutative`
2×	`pow1/3` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

5.0ms	(* x (log (cbrt (sqrt y))))
5.0ms	(* x (* (log y) 5/6))
7.0ms	(* (log y) 5/6)
2.0ms	(cbrt (sqrt y))

series441.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* x (log (cbrt (sqrt y))))
41.0ms	(* x (* (log y) 5/6))
142.0ms	(* (log y) 5/6)
146.0ms	(cbrt (sqrt y))

simplify49.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	335	568
1	1323	507
2	5001	494

prune209.0ms

Filtered

101 candidates to 65 candidates (64.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	101	4	105

Merged error: 0b

Counts

105 → 4

regimes84.0ms

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	8	4
1	8	4

end0.0ms

sample848.0ms

Algorithm

intervals

Results

295.0ms	8042×	body	80	valid
215.0ms	8035×	body	80	nan