Details

sample41.0ms

Algorithm

intervals

Results

16.0ms

365×

body

valid

simplify67.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	14	7
2	24	7
3	47	7
4	65	7
done	65	7

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (+ (* x y) z) y) t)
0.0b	(+ (* x y) z)
0.1b	(* (+ (* x y) z) y)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`expm1-log1p-u` `flip3-+` `associate-r` `associate-l` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `fma-def` `associate-*l/` `sum-log`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 50

Calls

3 calls:

16.0ms	(+ (* (+ (* x y) z) y) t)
12.0ms	(+ (* x y) z)
46.0ms	(* (+ (* x y) z) y)

series147.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(+ (* (+ (* x y) z) y) t)
27.0ms	(+ (* x y) z)
42.0ms	(* (+ (* x y) z) y)

simplify3.1s

Counts

59 → 59

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	86	617
1	227	509
2	721	465
3	2524	459
done	5000	459

prune188.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (fma x y z) y)) (cbrt (* (fma x y z) y)))
6.9b	(cbrt (* (fma x y z) y))
6.9b	(cbrt (* (fma x y z) y))
6.9b	(cbrt (* (fma x y z) y))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `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` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

29.0ms	(* (cbrt (* (fma x y z) y)) (cbrt (* (fma x y z) y)))
5.0ms	(cbrt (* (fma x y z) y))
4.0ms	(cbrt (* (fma x y z) y))
9.0ms	(cbrt (* (fma x y z) y))

series866.0ms

Counts

4 → 12

Calls

4 calls:

282.0ms	(* (cbrt (* (fma x y z) y)) (cbrt (* (fma x y z) y)))
163.0ms	(cbrt (* (fma x y z) y))
214.0ms	(cbrt (* (fma x y z) y))
207.0ms	(cbrt (* (fma x y z) y))

simplify2.3s

Counts

78 → 78

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	126	1156
1	300	1055
2	770	940
3	2001	817
done	5001	759

prune383.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (fma x y z))
6.9b	(cbrt (* (fma x y z) y))
6.9b	(cbrt (* (fma x y z) y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`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 → 48

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt (fma x y z))
4.0ms	(cbrt (* (fma x y z) y))
4.0ms	(cbrt (* (fma x y z) y))

series834.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(cbrt y)
185.0ms	(cbrt (fma x y z))
210.0ms	(cbrt (* (fma x y z) y))
177.0ms	(cbrt (* (fma x y z) y))

simplify3.3s

Counts

60 → 60

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	110	577
1	237	559
2	548	508
3	1354	469
4	3589	442
done	5001	436

prune373.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (fma x y z))
0.6b	(cbrt (fma x y z))
6.9b	(cbrt (* (fma x y z) y))

rewrite7.0ms

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 y)
1.0ms	(cbrt (fma x y z))
1.0ms	(cbrt (fma x y z))
4.0ms	(cbrt (* (fma x y z) y))

series933.0ms

Counts

4 → 12

Calls

4 calls:

319.0ms	(cbrt y)
176.0ms	(cbrt (fma x y z))
199.0ms	(cbrt (fma x y z))
238.0ms	(cbrt (* (fma x y z) y))

simplify4.1s

Counts

62 → 62

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	110	549
1	237	529
2	548	484
3	1354	454
4	3589	430
done	5001	424

prune366.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes280.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

576.0ms

11269×

body

valid