Details

sample68.0ms

Algorithm

intervals

Results

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

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (10.0ms)

Iter	Nodes	Cost
0	21	6
1	52	6
2	134	6
3	282	6
4	541	5
5	752	5
6	968	5
7	1199	5
8	1327	5
9	1327	5

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize14.0ms

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))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
23×	`associate--l+`
22×	`associate-+l+`
21×	`add-cube-cbrt` `log-prod`
15×	`prod-diff`
11×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1`
5×	`add-exp-log` `fma-def` `add-cbrt-cube`
4×	`diff-log` `associate-r` `distribute-lft-out`
3×	`expm1-log1p-u` `sub-neg` `associate-+r+` `associate-l` `sum-log` `log-pow` `log1p-expm1-u` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `fma-neg` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

3 → 101

Calls

3 calls:

14.0ms	(+ (- (- (* x (log y)) y) z) (log t))
5.0ms	(- (* x (log y)) y)
4.0ms	(* x (log y))

series138.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ (- (- (* x (log y)) y) z) (log t))
59.0ms	(- (* x (log y)) y)
37.0ms	(* x (log y))

simplify57.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	429	636
1	1567	511
2	5002	472

prune248.0ms

Filtered

110 candidates to 80 candidates (72.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	106	4	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	5	111

Merged error: 0b

Counts

111 → 5

localize16.0ms

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)

rewrite33.0ms

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`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

10.0ms	(* x (log (cbrt y)))
13.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series548.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* x (log (cbrt y)))
100.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
178.0ms	(cbrt y)
176.0ms	(cbrt y)

simplify59.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	384	753
1	1636	640
2	5001	570

prune414.0ms

Filtered

123 candidates to 101 candidates (82.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	123	5	128

Merged error: 0b

Counts

128 → 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))

rewrite16.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 89

Calls

4 calls:

10.0ms	(* (cbrt (log y)) (cbrt (log y)))
1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))

series1.2s

Counts

4 → 12

Calls

4 calls:

274.0ms	(* (cbrt (log y)) (cbrt (log y)))
252.0ms	(cbrt (log y))
254.0ms	(cbrt (log y))
434.0ms	(cbrt (log y))

simplify87.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	125	517
1	435	446
2	2997	388
3	5001	381

prune235.0ms

Filtered

101 candidates to 64 candidates (63.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	101	5	106

Merged error: 0b

Counts

106 → 5

localize23.0ms

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×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`log-pow`

Counts

2 → 66

Calls

2 calls:

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

series108.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* (sqrt x) (* (sqrt x) (log y)))
64.0ms	(* (sqrt x) (log y))

simplify41.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	323	467
1	1238	404
2	5002	376

prune150.0ms

Filtered

72 candidates to 43 candidates (59.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	72	5	77

Merged error: 0b

Counts

77 → 5

regimes215.0ms

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

825.0ms	23760×	body	80	nan
343.0ms	8030×	body	80	valid
0.0ms	1×	body	640	valid