Details

sample33.0ms

Algorithm

intervals

Results

14.0ms

322×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	943
4	264
3	92
2	34
1	14
0	8

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize22.0ms

Local error

Found 1 expressions with local error:

3.3b	(* x (fma z (- y 1.0) 1.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
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:

7.0ms

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

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

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

simplify1.7s

Counts

25 → 25

Iterations

Iter	Nodes
done	5000
3	1857
2	370
1	111
0	48

prune188.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.5b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (- y 1.0))
0.0b	(+ (* x (* z (- y 1.0))) (* x 1.0))
3.3b	(* x (* z (- y 1.0)))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

99×	`distribute-rgt-in` `distribute-lft-in`
90×	`prod-diff`
70×	`add-sqr-sqrt`
68×	`*-un-lft-identity`
66×	`add-cube-cbrt`
44×	`associate-+l+`
10×	`pow1` `sub-neg` `add-cbrt-cube` `add-exp-log`
6×	`associate-r` `associate-l` `associate-*r/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 171

Calls

3 calls:

36.0ms	(* z (- y 1.0))
63.0ms	(+ (* x (* z (- y 1.0))) (* x 1.0))
29.0ms	(* x (* z (- y 1.0)))

series202.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* z (- y 1.0))
80.0ms	(+ (* x (* z (- y 1.0))) (* x 1.0))
83.0ms	(* x (* z (- y 1.0)))

simplify1.8s

Counts

180 → 180

Iterations

Iter	Nodes
done	5001
2	2630
1	650
0	230

prune734.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* x z) (- y 1.0)) (* x 1.0))
2.8b	(* (* x z) (- y 1.0))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
29×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`associate-r`
4×	`sub-neg` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip3--` `associate-l` `*-commutative` `flip-+` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 82

Calls

2 calls:

32.0ms	(+ (* (* x z) (- y 1.0)) (* x 1.0))
34.0ms	(* (* x z) (- y 1.0))

series182.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(+ (* (* x z) (- y 1.0)) (* x 1.0))
90.0ms	(* (* x z) (- y 1.0))

simplify3.1s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
2	2713
1	449
0	148

prune532.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
2.8b	(* (* x z) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* 1.0 1))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
14.0ms	(* (* x z) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* 1.0 1))))

series1.0s

Counts

4 → 12

Calls

4 calls:

294.0ms	(cbrt y)
263.0ms	(cbrt y)
276.0ms	(cbrt y)
182.0ms	(* (* x z) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* 1.0 1))))

simplify898.0ms

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
2	1048
1	182
0	74

prune524.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes317.0ms

Accuracy

93.9% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.6b

bsearch103.0ms

Steps

Iters	Range		Point
9	9.829243130708113e-81	1.479501143046183e-75	3.384200571349337e-78
8	-6.073265186640429e-22	-3.7552132836413273e-26	-4.1711861422578217e-22

simplify6.0ms

Iterations

Iter	Nodes
done	37
1	37
0	26

end0.0ms

sample715.0ms

Algorithm

intervals

Results

375.0ms

10082×

body

valid