Details

sample45.0ms

Algorithm

intervals

Results

19.0ms

332×

body

valid

simplify951.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	14	8
2	24	8
3	40	8
4	60	8
5	80	8
6	97	8
7	123	8
8	168	8
9	242	8
10	305	8
11	340	8
12	369	8
13	389	8
14	393	8
done	393	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x y (* (- 1.0 x) z))
0.0b	(* (- 1.0 x) z)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

0.0ms	(fma x y (* (- 1.0 x) z))
29.0ms	(* (- 1.0 x) z)

series117.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(fma x y (* (- 1.0 x) z))
55.0ms	(* (- 1.0 x) z)

simplify1.5s

Counts

40 → 40

Iterations

Useful iterations: 3 (568.0ms)

Iter	Nodes	Cost
0	64	347
1	131	335
2	400	297
3	1540	293
done	5000	293

prune120.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma z (- 1.0 x) (* x y))

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify1.4s

Counts

13 → 13

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	21	146
1	35	143
2	76	121
3	277	121
4	1752	121
done	5000	121

prune61.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 1.0) (* x x))
0.0b	(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
2.9b	(* (- (* 1.0 1.0) (* x x)) z)
7.1b	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `times-frac` `associate-l` `associate-l/` `associate-/r` `log1p-expm1-u`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `clear-num` `-commutative` `flip-+` `fma-udef` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

12.0ms	(- (* 1.0 1.0) (* x x))
0.0ms	(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
28.0ms	(* (- (* 1.0 1.0) (* x x)) z)
61.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series283.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (* 1.0 1.0) (* x x))
101.0ms	(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
47.0ms	(* (- (* 1.0 1.0) (* x x)) z)
68.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify1.5s

Counts

91 → 91

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	129	1301
1	334	1247
2	1365	1059
done	5001	892

prune351.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x y (* 1.0 (- z (* x z))))
0.0b	(- z (* x z))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `flip--` `fma-udef`

Counts

2 → 31

Calls

2 calls:

0.0ms	(fma x y (* 1.0 (- z (* x z))))
6.0ms	(- z (* x z))

series84.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(fma x y (* 1.0 (- z (* x z))))
36.0ms	(- z (* x z))

simplify3.9s

Counts

37 → 37

Iterations

Useful iterations: 4 (2.3s)

Iter	Nodes	Cost
0	58	382
1	126	373
2	326	324
3	1134	319
4	4460	300
done	5000	300

prune138.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	10	10
done	10	10

end0.0ms

sample1.3s

Algorithm

intervals

Results

772.0ms

10090×

body

valid