Details

sample69.0ms

Algorithm

intervals

Results

27.0ms	807×	body	80	nan
11.0ms	256×	body	80	valid

simplify31.0ms

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

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

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

12.0ms	(+ (- (- (* x (log y)) y) z) (log t))
4.0ms	(- (* x (log y)) y)
4.0ms	(* x (log y))

series139.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (- (- (* x (log y)) y) z) (log t))
59.0ms	(- (* x (log y)) y)
37.0ms	(* x (log y))

simplify83.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	333	472
1	1030	432
2	3338	405
3	5002	405

prune167.0ms

Filtered

83 candidates to 56 candidates (67.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	5	84

Merged error: 0b

Counts

84 → 5

localize18.0ms

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))))
0.5b	(cbrt y)
0.5b	(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)

series573.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* x (log (cbrt y)))
112.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
180.0ms	(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

prune331.0ms

Filtered

114 candidates to 91 candidates (79.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	114	5	119

Merged error: 0b

Counts

119 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (log y)) (cbrt (log y)))
0.5b	(cbrt (log y))
0.5b	(cbrt (log y))
0.5b	(cbrt (log y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (log y)) (cbrt (log y)))
1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))

series1.1s

Counts

4 → 12

Calls

4 calls:

281.0ms	(* (cbrt (log y)) (cbrt (log y)))
278.0ms	(cbrt (log y))
264.0ms	(cbrt (log y))
264.0ms	(cbrt (log y))

simplify84.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	121	487
1	430	416
2	2982	358
3	5001	351

prune194.0ms

Filtered

93 candidates to 56 candidates (60.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	93	5	98

Merged error: 0b

Counts

98 → 5

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sqrt x) (* (sqrt x) (log y)))
0.2b	(* (sqrt x) (log y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 62

Calls

2 calls:

7.0ms	(* (sqrt x) (* (sqrt x) (log y)))
6.0ms	(* (sqrt x) (log y))

series118.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* (sqrt x) (* (sqrt x) (log y)))
67.0ms	(* (sqrt x) (log y))

simplify40.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	310	447
1	1206	384
2	5001	357

prune129.0ms

Filtered

68 candidates to 39 candidates (57.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	68	5	73

Merged error: 0b

Counts

73 → 5

regimes222.0ms

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

sample2.0s

Algorithm

intervals

Results

822.0ms	23760×	body	80	nan
355.0ms	8030×	body	80	valid
0.0ms	1×	body	640	valid