Details

sample153.0ms

Algorithm

intervals

Results

62.0ms	864×	body	80	nan
19.0ms	257×	body	80	valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 4 (140.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	52	11
3	126	11
4	223	10
5	297	10
6	414	10
7	504	10
8	587	10
9	594	10
done	594	10

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
21×	`prod-diff`
19×	`add-cube-cbrt`
8×	`pow1`
7×	`fma-neg`
6×	`add-log-exp`
5×	`log-pow`
4×	`associate--l+`
3×	`add-exp-log` `expm1-log1p-u` `log-prod` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef` `difference-of-squares`

Counts

3 → 75

Calls

3 calls:

19.0ms	(- (log t) z)
14.0ms	(- (fma x (log y) (- (log t) z)) y)
1.0ms	(fma x (log y) (- (log t) z))

series311.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(- (log t) z)
98.0ms	(- (fma x (log y) (- (log t) z)) y)
111.0ms	(fma x (log y) (- (log t) z))

simplify2.8s

Counts

84 → 84

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	157	1257
1	330	1037
2	729	872
3	3067	756
done	5000	756

prune313.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow (cbrt (fma x (log y) (- (log t) z))) 3) y)
0.1b	(fma x (log y) (- (log t) z))
0.5b	(cbrt (fma x (log y) (- (log t) z)))
0.7b	(pow (cbrt (fma x (log y) (- (log t) z))) 3)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
54×	`prod-diff`
50×	`*-un-lft-identity`
48×	`add-cube-cbrt`
35×	`cbrt-prod`
32×	`unpow-prod-down` `cube-prod`
18×	`fma-neg`
6×	`add-log-exp` `difference-of-squares` `sqr-pow`
5×	`pow1` `add-exp-log` `cube-mult` `unpow3`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow-unpow`
2×	`pow-pow` `pow1/3`
1×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `pow-exp` `flip--` `fma-udef` `distribute-lft-out--` `rem-cube-cbrt`

Counts

4 → 148

Calls

4 calls:

45.0ms	(- (pow (cbrt (fma x (log y) (- (log t) z))) 3) y)
0.0ms	(fma x (log y) (- (log t) z))
1.0ms	(cbrt (fma x (log y) (- (log t) z)))
12.0ms	(pow (cbrt (fma x (log y) (- (log t) z))) 3)

series1.3s

Counts

4 → 12

Calls

4 calls:

103.0ms	(- (pow (cbrt (fma x (log y) (- (log t) z))) 3) y)
122.0ms	(fma x (log y) (- (log t) z))
657.0ms	(cbrt (fma x (log y) (- (log t) z)))
413.0ms	(pow (cbrt (fma x (log y) (- (log t) z))) 3)

simplify1.5s

Counts

160 → 160

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	247	4273
1	651	2765
2	2031	2226
done	5000	2188

prune521.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma x (log y) (- (log t) z)))
0.5b	(cbrt (fma x (log y) (- (log t) z)))
0.7b	(pow (cbrt (* (cbrt (fma x (log y) (- (log t) z))) (cbrt (fma x (log y) (- (log t) z))))) 3)
0.7b	(pow (cbrt (cbrt (fma x (log y) (- (log t) z)))) 3)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-prod`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`unpow-prod-down` `cube-prod`
6×	`pow1` `add-exp-log` `pow-unpow`
4×	`expm1-log1p-u` `pow-pow` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

1.0ms	(cbrt (fma x (log y) (- (log t) z)))
1.0ms	(cbrt (fma x (log y) (- (log t) z)))
8.0ms	(pow (cbrt (* (cbrt (fma x (log y) (- (log t) z))) (cbrt (fma x (log y) (- (log t) z))))) 3)
9.0ms	(pow (cbrt (cbrt (fma x (log y) (- (log t) z)))) 3)

series2.9s

Counts

4 → 12

Calls

4 calls:

509.0ms	(cbrt (fma x (log y) (- (log t) z)))
527.0ms	(cbrt (fma x (log y) (- (log t) z)))
1.1s	(pow (cbrt (* (cbrt (fma x (log y) (- (log t) z))) (cbrt (fma x (log y) (- (log t) z))))) 3)
824.0ms	(pow (cbrt (cbrt (fma x (log y) (- (log t) z)))) 3)

simplify1.8s

Counts

104 → 104

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	249	3305
1	784	2689
2	3276	2409
done	5001	2372

prune652.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 77

Calls

4 calls:

1.0ms	(cbrt (fma x (log y) (- (log t) z)))
1.0ms	(cbrt (fma x (log y) (- (log t) z)))
2.0ms	(cbrt (fma x (log y) (- (log t) z)))
9.0ms	(pow (cbrt (cbrt (fma x (log y) (- (log t) z)))) 3)

series2.6s

Counts

4 → 12

Calls

4 calls:

631.0ms	(cbrt (fma x (log y) (- (log t) z)))
650.0ms	(cbrt (fma x (log y) (- (log t) z)))
526.0ms	(cbrt (fma x (log y) (- (log t) z)))
820.0ms	(pow (cbrt (cbrt (fma x (log y) (- (log t) z)))) 3)

simplify1.1s

Counts

89 → 89

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	178	2582
1	548	2294
2	2101	2075
done	5000	2025

prune575.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes263.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
done	9	10

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.2s	23763×	body	80	nan
624.0ms	8047×	body	80	valid
0.0ms	1×	body	1280	valid