Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	258×	body	80	valid
6.0ms	232×	body	80	nan

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	21	6
1	63	6
2	212	6
3	725	5
4	1882	5
5	3231	5
6	4574	5
7	5001	5

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (- (fma (log y) (+ y 0.5) z) y))
0.1b	(fma (log y) (+ y 0.5) z)
0.1b	(- (fma (log y) (+ y 0.5) z) y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
35×	`add-sqr-sqrt`
33×	`prod-diff`
25×	`add-cube-cbrt`
12×	`associate--r+`
10×	`add-log-exp`
7×	`distribute-lft-out--`
6×	`fma-neg`
5×	`difference-of-squares`
4×	`diff-log`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--r-`

Counts

3 → 88

Calls

3 calls:

11.0ms	(- x (- (fma (log y) (+ y 0.5) z) y))
1.0ms	(fma (log y) (+ y 0.5) z)
4.0ms	(- (fma (log y) (+ y 0.5) z) y)

series139.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- x (- (fma (log y) (+ y 0.5) z) y))
43.0ms	(fma (log y) (+ y 0.5) z)
49.0ms	(- (fma (log y) (+ y 0.5) z) y)

simplify53.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	402	1160
1	1475	822
2	5001	746

prune157.0ms

Filtered

97 candidates to 61 candidates (37.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	5	98

Merged error: 0.0b

Counts

98 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series773.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(* (cbrt x) (cbrt x))
189.0ms	(cbrt x)
183.0ms	(cbrt x)
184.0ms	(cbrt x)

simplify100.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	128	331
1	526	287
2	3251	261
3	5002	258

prune239.0ms

Filtered

96 candidates to 72 candidates (25.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	96	5	101

Merged error: 0.0b

Counts

101 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
0.5b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.5b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.5b	(cbrt (- (fma (log y) (+ y 0.5) z) y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l` `add-cbrt-cube`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 112

Calls

4 calls:

14.0ms	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
3.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
3.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
3.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))

series3.7s

Counts

4 → 12

Calls

4 calls:

2.8s	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
318.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
335.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
330.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))

simplify121.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	957	2787
1	4668	2659
2	5001	2654

prune397.0ms

Filtered

124 candidates to 97 candidates (21.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	122	2	124
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	122	7	129

Merged error: 0b

Counts

129 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))
0.5b	(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))
0.5b	(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))
0.7b	(pow (cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y))) 3)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod`
22×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
12×	`cbrt-div`
11×	`unpow-prod-down`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `pow1/3` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`pow-unpow` `flip3--` `flip--`
2×	`pow-pow` `rem-cube-cbrt`
1×	`pow-to-exp` `unpow3` `pow-exp` `sqr-pow`

Counts

4 → 91

Calls

4 calls:

4.0ms	(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))
4.0ms	(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))
4.0ms	(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))
5.0ms	(pow (cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y))) 3)

series1.4s

Counts

4 → 12

Calls

4 calls:

311.0ms	(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))
318.0ms	(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))
311.0ms	(cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y)))
460.0ms	(pow (cbrt (cbrt (- (fma (log y) (+ y 0.5) z) y))) 3)

simplify87.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	635	1768
1	2847	1703
2	5001	1689

prune356.0ms

Filtered

103 candidates to 75 candidates (27.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	103	7	110

Merged error: 0b

Counts

110 → 7

regimes96.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	10
1	13	10

end0.0ms

sample806.0ms

Algorithm

intervals

Results

270.0ms	8041×	body	80	valid
217.0ms	7890×	body	80	nan