Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

292×

body

valid

simplify13.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	4635
21	4635
20	4627
19	4418
18	3978
17	3589
16	2890
15	2359
14	2046
13	1645
12	1354
11	989
10	526
9	207
8	133
7	105
6	87
5	75
4	71
3	49
2	21
1	11
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

59.0ms	(* (+ x 1.0) y)
28.0ms	(- (* (+ x 1.0) y) x)

series87.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* (+ x 1.0) y)
36.0ms	(- (* (+ x 1.0) y) x)

simplify7.8s

Counts

47 → 47

Iterations

Iter	Nodes
done	5019
3	2410
2	583
1	211
0	84

prune650.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (+ x 1.0) y (- x))

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:

1.0ms

(fma (+ x 1.0) y (- x))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(fma (+ x 1.0) y (- x))

simplify5.7s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	2770
3	392
2	86
1	33
0	20

prune382.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* (fma (* x x) x (* (* 1.0 1.0) 1.0)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) x)
0.1b	(fma (* x x) x (* (* 1.0 1.0) 1.0))
2.4b	(* (fma (* x x) x (* (* 1.0 1.0) 1.0)) y)
18.4b	(/ (* (fma (* x x) x (* (* 1.0 1.0) 1.0)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

619.0ms	(- (/ (* (fma (* x x) x (* (* 1.0 1.0) 1.0)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) x)
1.0ms	(fma (* x x) x (* (* 1.0 1.0) 1.0))
50.0ms	(* (fma (* x x) x (* (* 1.0 1.0) 1.0)) y)
395.0ms	(/ (* (fma (* x x) x (* (* 1.0 1.0) 1.0)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))

series1.1s

Counts

4 → 12

Calls

4 calls:

200.0ms	(- (/ (* (fma (* x x) x (* (* 1.0 1.0) 1.0)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) x)
168.0ms	(fma (* x x) x (* (* 1.0 1.0) 1.0))
302.0ms	(* (fma (* x x) x (* (* 1.0 1.0) 1.0)) y)
440.0ms	(/ (* (fma (* x x) x (* (* 1.0 1.0) 1.0)) y) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))

simplify6.5s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	1446
1	429
0	166

prune1.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes270.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end3.0ms

sample4.6s

Algorithm

intervals

Results

2.1s	9114×	body	80	valid
0.0ms	1×	body	1280	valid