Details

sample36.0ms

Algorithm

intervals

Results

14.0ms

369×

body

valid

simplify41.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

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:

14.0ms	(+ (* x y) z)
15.0ms	(+ (* (+ (* x y) z) y) t)
31.0ms	(* (+ (* x y) z) y)

series136.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ (* x y) z)
66.0ms	(+ (* (+ (* x y) z) y) t)
46.0ms	(* (+ (* x y) z) y)

simplify2.6s

Counts

59 → 59

Iterations

Useful iterations: 3 (960.0ms)

Iter	Nodes	Cost
0	86	617
1	227	509
2	720	465
3	2543	459
done	5001	459

prune170.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (fma x y z) y t)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (fma x y z) y t)

series86.0ms

Counts

1 → 3

Calls

1 calls:

85.0ms

(fma (fma x y z) y t)

simplify1.1s

Counts

13 → 13

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	23	129
1	40	124
2	85	106
3	271	106
4	1475	106
done	5002	106

prune87.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
16×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`flip3-+` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 93

Calls

4 calls:

52.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
11.0ms	(cbrt (+ (* x y) z))
6.0ms	(cbrt (+ (* x y) z))
1.0ms	(cbrt (fma x y z))

series576.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
131.0ms	(cbrt (+ (* x y) z))
151.0ms	(cbrt (+ (* x y) z))
128.0ms	(cbrt (fma x y z))

simplify3.7s

Counts

105 → 105

Iterations

Useful iterations: 4 (2.6s)

Iter	Nodes	Cost
0	133	1596
1	292	1335
2	750	1254
3	1829	1149
4	4589	1126
done	5000	1126

prune444.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (fma x y z) y)) (cbrt (* (fma x y z) y)))
5.0b	(cbrt (* (fma x y z) y))
5.0b	(cbrt (* (fma x y z) y))
5.0b	(cbrt (* (fma x y z) y))

rewrite42.0ms

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:

24.0ms	(* (cbrt (* (fma x y z) y)) (cbrt (* (fma x y z) y)))
5.0ms	(cbrt (* (fma x y z) y))
5.0ms	(cbrt (* (fma x y z) y))
5.0ms	(cbrt (* (fma x y z) y))

series775.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(* (cbrt (* (fma x y z) y)) (cbrt (* (fma x y z) y)))
152.0ms	(cbrt (* (fma x y z) y))
181.0ms	(cbrt (* (fma x y z) y))
204.0ms	(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

prune416.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes256.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
done	6	7

end0.0ms

sample1.7s

Algorithm

intervals

Results

565.0ms

11328×

body

valid