Details

sample29.0ms

Algorithm

intervals

Results

11.0ms

365×

body

valid

simplify34.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

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)

rewrite68.0ms

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:

19.0ms	(+ (* (+ (* x y) z) y) t)
8.0ms	(+ (* x y) z)
40.0ms	(* (+ (* x y) z) y)

series183.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(+ (* (+ (* x y) z) y) t)
38.0ms	(+ (* x y) z)
52.0ms	(* (+ (* x y) z) y)

simplify2.9s

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

prune193.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite51.0ms

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)))
7.0ms	(cbrt (* (fma x y z) y))
7.0ms	(cbrt (* (fma x y z) y))
7.0ms	(cbrt (* (fma x y z) y))

series771.0ms

Counts

4 → 12

Calls

4 calls:

267.0ms	(* (cbrt (* (fma x y z) y)) (cbrt (* (fma x y z) y)))
181.0ms	(cbrt (* (fma x y z) y))
178.0ms	(cbrt (* (fma x y z) y))
144.0ms	(cbrt (* (fma x y z) y))

simplify1.9s

Counts

78 → 78

Iterations

Useful iterations: done (1.9s)

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

prune339.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

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))

rewrite23.0ms

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)
7.0ms	(cbrt (fma x y z))
7.0ms	(cbrt (* (fma x y z) y))
7.0ms	(cbrt (* (fma x y z) y))

series901.0ms

Counts

4 → 12

Calls

4 calls:

312.0ms	(cbrt y)
180.0ms	(cbrt (fma x y z))
228.0ms	(cbrt (* (fma x y z) y))
181.0ms	(cbrt (* (fma x y z) y))

simplify3.4s

Counts

60 → 60

Iterations

Useful iterations: done (3.4s)

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

prune370.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize17.0ms

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))

series917.0ms

Counts

4 → 12

Calls

4 calls:

306.0ms	(cbrt y)
210.0ms	(cbrt (fma x y z))
188.0ms	(cbrt (fma x y z))
212.0ms	(cbrt (* (fma x y z) y))

simplify3.7s

Counts

62 → 62

Iterations

Useful iterations: done (3.7s)

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

prune372.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes331.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.5s

Algorithm

intervals

Results

705.0ms

11269×

body

valid