Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

334×

body

valid

simplify18.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	23	7
3	43	7
4	55	7
done	55	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x y))
0.1b	(* x (- 1.0 (* x y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`prod-diff`
8×	`add-cube-cbrt` `*-un-lft-identity`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `fma-neg` `associate-r` `associate-l`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 52

Calls

2 calls:

3.0ms	(- 1.0 (* x y))
8.0ms	(* x (- 1.0 (* x y)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(- 1.0 (* x y))
44.0ms	(* x (- 1.0 (* x y)))

simplify1.5s

Counts

58 → 58

Iterations

Useful iterations: 3 (556.0ms)

Iter	Nodes	Cost
0	81	616
1	171	607
2	577	532
3	2649	511
done	5000	511

prune114.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (fma (- x) y 1.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`fma-udef`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

4.0ms

(* x (fma (- x) y 1.0))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(* x (fma (- x) y 1.0))

simplify1.2s

Counts

25 → 25

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	44	247
1	88	244
2	296	210
3	1252	210
done	5000	210

prune56.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* x (fma (- x) y 1.0))) (cbrt (* x (fma (- x) y 1.0))))
0.6b	(cbrt (* x (fma (- x) y 1.0)))
0.6b	(cbrt (* x (fma (- x) y 1.0)))
0.6b	(cbrt (* x (fma (- x) y 1.0)))

rewrite12.0ms

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:

5.0ms	(* (cbrt (* x (fma (- x) y 1.0))) (cbrt (* x (fma (- x) y 1.0))))
1.0ms	(cbrt (* x (fma (- x) y 1.0)))
2.0ms	(cbrt (* x (fma (- x) y 1.0)))
2.0ms	(cbrt (* x (fma (- x) y 1.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

305.0ms	(* (cbrt (* x (fma (- x) y 1.0))) (cbrt (* x (fma (- x) y 1.0))))
281.0ms	(cbrt (* x (fma (- x) y 1.0)))
277.0ms	(cbrt (* x (fma (- x) y 1.0)))
277.0ms	(cbrt (* x (fma (- x) y 1.0)))

simplify454.0ms

Counts

78 → 78

Iterations

Useful iterations: 2 (126.0ms)

Iter	Nodes	Cost
0	144	1714
1	382	1569
2	1311	1440
done	5001	1440

prune256.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* x (fma (- x) y 1.0)))
0.6b	(cbrt (* x (fma (- x) y 1.0)))
0.6b	(cbrt (* x (fma (- x) y 1.0)))
0.6b	(cbrt (* x (fma (- x) y 1.0)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt (* x (fma (- x) y 1.0)))
1.0ms	(cbrt (* x (fma (- x) y 1.0)))
1.0ms	(cbrt (* x (fma (- x) y 1.0)))
2.0ms	(cbrt (* x (fma (- x) y 1.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

286.0ms	(cbrt (* x (fma (- x) y 1.0)))
282.0ms	(cbrt (* x (fma (- x) y 1.0)))
283.0ms	(cbrt (* x (fma (- x) y 1.0)))
284.0ms	(cbrt (* x (fma (- x) y 1.0)))

simplify796.0ms

Counts

56 → 56

Iterations

Useful iterations: 3 (205.0ms)

Iter	Nodes	Cost
0	75	1220
1	186	1172
2	562	1096
3	2625	960
done	5000	960

prune249.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes61.0ms

Accuracy

0% (0.1b 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
1	7	7
done	7	7

end0.0ms

sample381.0ms

Algorithm

intervals

Results

216.0ms

10745×

body

valid