Details

sample136.0ms

Algorithm

intervals

Results

61.0ms	836×	body	80	nan
19.0ms	256×	body	80	valid

simplify5.3s

Counts

1 → 1

Iterations

Useful iterations: 4 (125.0ms)

Iter	Nodes	Cost
0	10	304
1	21	304
2	51	304
3	122	304
4	320	279
5	645	279
6	1117	279
7	1553	279
8	2214	279
9	2883	279
10	3523	279
11	4083	279
12	4501	279
13	4983	279
done	5000	279

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

7.0ms	(- (log t) z)
0.0ms	(fma x (log y) (- (log t) z))

series202.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(- (log t) z)
102.0ms	(fma x (log y) (- (log t) z))

simplify2.6s

Counts

52 → 52

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	101	14762
1	221	13252
2	494	10804
3	1502	10535
done	5000	9928

prune336.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize61.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x (log y) (- (log t) z))) (cbrt (fma x (log y) (- (log t) z))))
0.6b	(cbrt (fma x (log y) (- (log t) z)))
0.6b	(cbrt (fma x (log y) (- (log t) z)))
0.6b	(cbrt (fma x (log y) (- (log t) z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

17.0ms	(* (cbrt (fma x (log y) (- (log t) z))) (cbrt (fma x (log y) (- (log t) z))))
1.0ms	(cbrt (fma x (log y) (- (log t) z)))
1.0ms	(cbrt (fma x (log y) (- (log t) z)))
1.0ms	(cbrt (fma x (log y) (- (log t) z)))

series2.4s

Counts

4 → 12

Calls

4 calls:

624.0ms	(* (cbrt (fma x (log y) (- (log t) z))) (cbrt (fma x (log y) (- (log t) z))))
611.0ms	(cbrt (fma x (log y) (- (log t) z)))
652.0ms	(cbrt (fma x (log y) (- (log t) z)))
553.0ms	(cbrt (fma x (log y) (- (log t) z)))

simplify4.1s

Counts

93 → 93

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	180	55730
1	547	47821
2	2047	47401
done	5002	46047

prune793.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize147.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma x (log y) (- (log t) z)))
0.6b	(cbrt (fma x (log y) (- (log t) z)))
0.6b	(cbrt (fma x (log y) (- (log t) z)))
0.6b	(cbrt (fma x (log y) (- (log t) z)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

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

series2.4s

Counts

4 → 12

Calls

4 calls:

608.0ms	(cbrt (fma x (log y) (- (log t) z)))
607.0ms	(cbrt (fma x (log y) (- (log t) z)))
654.0ms	(cbrt (fma x (log y) (- (log t) z)))
577.0ms	(cbrt (fma x (log y) (- (log t) z)))

simplify2.5s

Counts

64 → 64

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	102	42716
1	285	35400
2	1070	35080
done	5000	33380

prune774.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize129.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma x (log y) (- (log t) z)))
0.6b	(cbrt (fma x (log y) (- (log t) z)))
0.6b	(cbrt (fma x (log y) (- (log t) z)))
0.6b	(* (cbrt (cbrt (fma x (log y) (- (log t) z)))) (cbrt (cbrt (fma x (log y) (- (log t) z)))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

1.0ms	(cbrt (fma x (log y) (- (log t) z)))
1.0ms	(cbrt (fma x (log y) (- (log t) z)))
1.0ms	(cbrt (fma x (log y) (- (log t) z)))
13.0ms	(* (cbrt (cbrt (fma x (log y) (- (log t) z)))) (cbrt (cbrt (fma x (log y) (- (log t) z)))))

series2.4s

Counts

4 → 12

Calls

4 calls:

580.0ms	(cbrt (fma x (log y) (- (log t) z)))
644.0ms	(cbrt (fma x (log y) (- (log t) z)))
555.0ms	(cbrt (fma x (log y) (- (log t) z)))
646.0ms	(* (cbrt (cbrt (fma x (log y) (- (log t) z)))) (cbrt (cbrt (fma x (log y) (- (log t) z)))))

simplify457.0ms

Iterations

Useful iterations: 0 (137.0ms)

Iter	Nodes	Cost
0	202	71922