Details

sample73.0ms

Algorithm

intervals

Results

29.0ms	878×	body	80	nan
10.0ms	257×	body	80	valid

simplify36.0ms

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

prune10.0ms

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)))

rewrite10.0ms

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:

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

series93.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- (log t) (+ y z))
52.0ms	(fma (log y) x (- (log t) (+ y z)))

simplify101.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (24.0ms)

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

prune130.0ms

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: 0.1b

Counts

61 → 5

localize17.0ms

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

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`
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:

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

series1.3s

Counts

4 → 12

Calls

4 calls:

318.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
322.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
317.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
311.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))

simplify58.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	393	1346
1	1549	1220
2	5001	1117

prune329.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	87	6	93
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	89	9	98

Merged error: 0.0b

Counts

98 → 9

localize19.0ms

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 50

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))))
7.0ms	(cbrt (* (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:

316.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
325.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
312.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
319.0ms	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))

simplify43.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	355	925
1	1186	825
2	5001	796

prune355.0ms

Filtered

62 candidates to 58 candidates (93.5%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	60	11	71

Merged error: 0.0b

Counts

71 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 46

Calls

4 calls:

1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
4.0ms	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
4.0ms	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
4.0ms	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))

series1.5s

Counts

4 → 12

Calls

4 calls:

317.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
518.0ms	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
326.0ms	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
329.0ms	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))

simplify45.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	355	1039
1	1186	923
2	5001	892

prune289.0ms

Filtered

58 candidates to 53 candidates (91.4%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	3	4	7
Picked	0	1	1
Done	0	3	3
Total	58	11	69

Merged error: 0.0b

Counts

69 → 11

regimes283.0ms

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

sample2.0s

Algorithm

intervals

Results

817.0ms	24289×	body	80	nan
335.0ms	8029×	body	80	valid
0.0ms	1×	body	640	valid