Details

sample31.0ms

Algorithm

intervals

Results

10.0ms	257×	body	80	valid
7.0ms	286×	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 3 expressions with local error:

0.0b	(- (- (* x (log y)) z) y)
0.0b	(- (* x (log y)) z)
0.2b	(* x (log y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

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

series126.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- (- (* x (log y)) z) y)
51.0ms	(- (* x (log y)) z)
40.0ms	(* x (log y))

simplify61.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	257	372
1	752	352
2	2351	328
3	5002	328

prune127.0ms

Filtered

76 candidates to 53 candidates (69.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	70	6	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	6	77

Merged error: 0.0b

Counts

77 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt y))
0.0b	(log (sqrt y))
0.2b	(* x (log (sqrt y)))
0.2b	(* x (log (sqrt y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
24×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`sqrt-prod`
16×	`pow1`
12×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `log-pow`
10×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`associate-l`
4×	`sqrt-pow1` `pow1/2` `add-log-exp`
2×	`rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 100

Calls

4 calls:

2.0ms	(log (sqrt y))
2.0ms	(log (sqrt y))
5.0ms	(* x (log (sqrt y)))
5.0ms	(* x (log (sqrt y)))

series295.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(log (sqrt y))
64.0ms	(log (sqrt y))
84.0ms	(* x (log (sqrt y)))
84.0ms	(* x (log (sqrt y)))

simplify76.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	203	632
1	700	556
2	2954	528
3	5001	528

prune202.0ms

Filtered

112 candidates to 70 candidates (62.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	111	7	118

Merged error: 0.0b

Counts

118 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite24.0ms

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)
4.0ms	(cbrt y)

series540.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* x (log (cbrt y)))
104.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
172.0ms	(cbrt y)
174.0ms	(cbrt y)

simplify50.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (43.0ms)

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

prune293.0ms

Filtered

114 candidates to 92 candidates (80.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	111	3	114
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	115	6	121

Merged error: 0b

Counts

121 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))
5.0b	(pow y 1/3)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow-exp` `sqr-pow`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt y)
2.0ms	(cbrt (cbrt y))
2.0ms	(cbrt (cbrt y))
2.0ms	(pow y 1/3)

series821.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt y)
240.0ms	(cbrt (cbrt y))
236.0ms	(cbrt (cbrt y))
174.0ms	(pow y 1/3)

simplify44.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	128	228
1	366	206
2	1321	196
3	5001	191

prune234.0ms

Filtered

69 candidates to 56 candidates (81.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	69	6	75

Merged error: 0b

Counts

75 → 6

regimes83.0ms

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	10	9
1	10	9

end0.0ms

sample859.0ms

Algorithm

intervals

Results

292.0ms	8028×	body	80	valid
225.0ms	8112×	body	80	nan
1.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid