Details

sample122.0ms

Algorithm

intervals

Results

51.0ms	724×	body	80	nan
25.0ms	257×	body	80	valid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (9.0ms)

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	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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
16×	`prod-diff`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
9×	`pow1`
7×	`log-pow`
6×	`distribute-lft-out`
5×	`add-log-exp`
4×	`fma-neg` `distribute-lft-out--`
3×	`log-prod` `associate--l+`
2×	`add-exp-log` `expm1-log1p-u` `diff-log` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `sum-log` `flip--` `fma-udef` `associate--r+` `difference-of-squares`

Counts

2 → 54

Calls

2 calls:

6.0ms	(- (log t) (+ y z))
1.0ms	(fma (log y) x (- (log t) (+ y z)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(- (log t) (+ y z))
52.0ms	(fma (log y) x (- (log t) (+ y z)))

simplify99.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	242	500
1	768	348
2	4200	307
3	5001	307

prune111.0ms

Filtered

60 candidates to 36 candidates (60.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	56	4	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	5	61

Merged error: 0.0b

Counts

61 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 81

Calls

4 calls:

1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
5.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

320.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
330.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
301.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
312.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

simplify55.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	393	1346
1	1556	1220
2	5001	1117

prune322.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	90	8	98

Merged error: 0.0b

Counts

98 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

38×	`cbrt-prod` `add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
18×	`pow1`
14×	`pow1/3`
12×	`swap-sqr` `associate-r` `associate-l`
8×	`add-exp-log` `unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 110

Calls

4 calls:

1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
8.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
5.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

328.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
307.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
303.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
304.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

simplify57.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	393	1824
1	1556	1664
2	5001	1490

prune455.0ms

Filtered

122 candidates to 88 candidates (72.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	122	8	130

Merged error: 0.0b

Counts

130 → 8

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
64×	`cbrt-prod`
36×	`add-cube-cbrt` `*-un-lft-identity`
32×	`pow1`
24×	`pow1/3` `swap-sqr` `associate-r` `associate-l`
16×	`unswap-sqr`
12×	`add-exp-log`
8×	`pow-prod-down` `pow-sqr` `pow-prod-up`
4×	`pow2` `expm1-log1p-u` `pow-plus` `prod-exp` `*-commutative` `add-cbrt-cube` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

4 → 168

Calls

4 calls:

5.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
6.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
5.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
5.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

331.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
375.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
333.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
309.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

simplify52.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	250	2780
1	1003	2552
2	5001	2236

prune681.0ms

Filtered

180 candidates to 120 candidates (66.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	180	8	188

Merged error: 0.0b

Counts

188 → 8

regimes208.0ms

Accuracy

0% (0.0b 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	5
1	10	5

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	24275×	body	80	nan
442.0ms	8035×	body	80	valid
1.0ms	1×	body	1280	valid