Details

sample37.0ms

Algorithm

intervals

Results

24.0ms

331×

body

valid

simplify45.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	58
4	58
3	44
2	23
1	10
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`prod-diff`
5×	`distribute-rgt-in` `*-un-lft-identity` `distribute-lft-in` `add-cube-cbrt`
3×	`pow1` `add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `unswap-sqr`

Counts

1 → 33

Calls

1 calls:

21.0ms

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

series70.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

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

simplify2.7s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
3	2268
2	496
1	166
0	72

prune109.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (- (* x y))))
0.2b	(* x (- (* x y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-r`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-l` `distribute-rgt-neg-out`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
1×	`distribute-lft-neg-in` `+-commutative` `neg-mul-1` `sum-log` `fma-def` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

17.0ms	(+ (* x 1.0) (* x (- (* x y))))
22.0ms	(* x (- (* x y)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ (* x 1.0) (* x (- (* x y))))
34.0ms	(* x (- (* x y)))

simplify3.2s

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
3	3808
2	790
1	207
0	72

prune186.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
20.1b	(cbrt (* x (- (* x y))))
20.1b	(cbrt (* x (- (* x y))))
20.1b	(cbrt (* x (- (* x y))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `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 → 70

Calls

4 calls:

39.0ms	(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
10.0ms	(cbrt (* x (- (* x y))))
10.0ms	(cbrt (* x (- (* x y))))
11.0ms	(cbrt (* x (- (* x y))))

series692.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
174.0ms	(cbrt (* x (- (* x y))))
139.0ms	(cbrt (* x (- (* x y))))
161.0ms	(cbrt (* x (- (* x y))))

simplify3.2s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
4	4872
3	1582
2	592
1	237
0	95

prune450.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

36.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
2.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

349.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
318.0ms	(cbrt (- 1.0 (* x y)))
389.0ms	(cbrt (- 1.0 (* x y)))
288.0ms	(cbrt (- 1.0 (* x y)))

simplify2.4s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
3	4624
2	1186
1	397
0	152

prune555.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes116.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	24
3	24
2	23
1	18
0	8

end0.0ms

sample766.0ms

Algorithm

intervals

Results

575.0ms

10702×

body

valid