Details

sample29.0ms

Algorithm

intervals

Results

14.0ms

332×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

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

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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:

1.0ms	(fma x y (* (- 1.0 x) z))
40.0ms	(* (- 1.0 x) z)

series82.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(fma x y (* (- 1.0 x) z))
46.0ms	(* (- 1.0 x) z)

simplify1.5s

Counts

40 → 40

Iterations

Useful iterations: 3 (564.0ms)

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

prune121.0ms

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))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify1.8s

Counts

13 → 13

Iterations

Useful iterations: 2 (21.0ms)

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

prune50.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

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))

rewrite98.0ms

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:

16.0ms	(- (* 1.0 1.0) (* x x))
1.0ms	(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
41.0ms	(* (- (* 1.0 1.0) (* x x)) z)
36.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series292.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* 1.0 1.0) (* x x))
81.0ms	(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
67.0ms	(* (- (* 1.0 1.0) (* x x)) z)
96.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify1.3s

Counts

91 → 91

Iterations

Useful iterations: done (1.3s)

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

prune339.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

1.0ms	(fma x y (* 1.0 (- z (* x z))))
12.0ms	(- z (* x z))

series132.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(fma x y (* 1.0 (- z (* x z))))
62.0ms	(- z (* x z))

simplify3.8s

Counts

37 → 37

Iterations

Useful iterations: 4 (2.1s)

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

prune107.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes80.0ms

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

sample915.0ms

Algorithm

intervals

Results

605.0ms

10090×

body

valid