Details

sample160.0ms

Algorithm

intervals

Results

66.0ms	804×	body	80	nan
21.0ms	257×	body	80	valid

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (98.0ms)

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

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:

7.0ms	(- (fma x (log y) (- (log t) z)) y)
18.0ms	(- (log t) z)
1.0ms	(fma x (log y) (- (log t) z))

series250.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- (fma x (log y) (- (log t) z)) y)
96.0ms	(- (log t) z)
85.0ms	(fma x (log y) (- (log t) z))

simplify2.4s

Counts

84 → 84

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	157	1257
1	330	1037
2	729	872
3	3063	756
done	5000	756

prune280.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log t) z)
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)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
19×	`add-cube-cbrt`
12×	`prod-diff`
10×	`pow1`
9×	`cbrt-prod`
6×	`unpow-prod-down` `cube-prod`
5×	`add-exp-log` `log-pow` `add-log-exp`
4×	`expm1-log1p-u` `fma-neg` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow-unpow` `log-prod` `associate--l+`
2×	`pow-pow` `pow1/3` `distribute-lft-out--`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `flip--` `fma-udef` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`

Counts

4 → 91

Calls

4 calls:

12.0ms	(- (log t) z)
0.0ms	(fma x (log y) (- (log t) z))
1.0ms	(cbrt (fma x (log y) (- (log t) z)))
4.0ms	(pow (cbrt (fma x (log y) (- (log t) z))) 3)

series1.1s

Counts

4 → 12

Calls

4 calls:

91.0ms	(- (log t) z)
96.0ms	(fma x (log y) (- (log t) z))
542.0ms	(cbrt (fma x (log y) (- (log t) z)))
419.0ms	(pow (cbrt (fma x (log y) (- (log t) z))) 3)

simplify1.3s

Counts

103 → 103

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	220	1814
1	578	1526
2	1833	1308
done	5000	1252

prune531.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma x (log y) (- (log t) z)))
0.1b	(fma x (log y) (- (log t) z))
0.1b	(fma x (log y) (- (log t) z))
0.2b	(fma (sqrt (fma x (log y) (- (log t) z))) (sqrt (fma x (log y) (- (log t) z))) (- y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
5×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod` `fma-udef`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 45

Calls

4 calls:

3.0ms	(sqrt (fma x (log y) (- (log t) z)))
1.0ms	(fma x (log y) (- (log t) z))
1.0ms	(fma x (log y) (- (log t) z))
1.0ms	(fma (sqrt (fma x (log y) (- (log t) z))) (sqrt (fma x (log y) (- (log t) z))) (- y))

series2.4s

Counts

4 → 12

Calls

4 calls:

422.0ms	(sqrt (fma x (log y) (- (log t) z)))
482.0ms	(fma x (log y) (- (log t) z))
102.0ms	(fma x (log y) (- (log t) z))
1.4s	(fma (sqrt (fma x (log y) (- (log t) z))) (sqrt (fma x (log y) (- (log t) z))) (- y))

simplify2.4s

Counts

57 → 57

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	123	944
1	293	767
2	828	682
3	2916	661
done	5000	643

prune285.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (log y) (- (log t) z))
0.1b	(fma x (log y) (- (log t) z))
0.2b	(fma (sqrt (fma x (log y) (- (log t) z))) (* (sqrt (sqrt (fma x (log y) (- (log t) z)))) (sqrt (sqrt (fma x (log y) (- (log t) z))))) (- y))
0.2b	(* (sqrt (sqrt (fma x (log y) (- (log t) z)))) (sqrt (sqrt (fma x (log y) (- (log t) z)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

66×	`sqrt-prod`
46×	`add-sqr-sqrt`
32×	`sqrt-pow1`
27×	`pow1`
16×	`add-cube-cbrt` `*-un-lft-identity` `pow1/2`
15×	`swap-sqr`
9×	`associate-r` `associate-l` `pow-prod-up` `unswap-sqr`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-down` `pow-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`fma-udef`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 107

Calls

4 calls:

0.0ms	(fma x (log y) (- (log t) z))
0.0ms	(fma x (log y) (- (log t) z))
0.0ms	(fma (sqrt (fma x (log y) (- (log t) z))) (* (sqrt (sqrt (fma x (log y) (- (log t) z)))) (sqrt (sqrt (fma x (log y) (- (log t) z))))) (- y))
21.0ms	(* (sqrt (sqrt (fma x (log y) (- (log t) z)))) (sqrt (sqrt (fma x (log y) (- (log t) z)))))

series1.8s

Counts

4 → 12

Calls

4 calls:

90.0ms	(fma x (log y) (- (log t) z))
88.0ms	(fma x (log y) (- (log t) z))
1.2s	(fma (sqrt (fma x (log y) (- (log t) z))) (* (sqrt (sqrt (fma x (log y) (- (log t) z)))) (sqrt (sqrt (fma x (log y) (- (log t) z))))) (- y))
350.0ms	(* (sqrt (sqrt (fma x (log y) (- (log t) z)))) (sqrt (sqrt (fma x (log y) (- (log t) z)))))

simplify2.5s

Counts

119 → 119

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	177	2974
1	383	1670
2	1064	1502
3	3883	1439
done	5000	1436

prune417.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes353.0ms

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

sample5.0s

Algorithm

intervals

Results

2.4s	24589×	body	80	nan
738.0ms	8036×	body	80	valid
0.0ms	1×	body	160	valid