Details

sample34.0ms

Algorithm

intervals

Results

17.0ms

324×

body

valid

simplify874.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

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

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

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

simplify1.4s

Counts

13 → 13

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	21	146
1	35	143
2	72	121
3	265	121
4	1659	121
done	5000	121

prune39.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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 z x (* (- 1.0 x) y))
30.0ms	(* (- 1.0 x) y)

series93.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(fma z x (* (- 1.0 x) y))
46.0ms	(* (- 1.0 x) y)

simplify1.6s

Counts

40 → 40

Iterations

Useful iterations: 3 (639.0ms)

Iter	Nodes	Cost
0	65	347
1	130	329
2	409	297
3	1681	293
done	5000	293

prune173.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z x (/ (* (- (pow 1.0 3) (pow x 3)) y) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
0.0b	(+ (* x x) (* 1.0 x))
1.4b	(* (- (pow 1.0 3) (pow x 3)) y)
11.5b	(/ (* (- (pow 1.0 3) (pow x 3)) y) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite337.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

0.0ms	(fma z x (/ (* (- (pow 1.0 3) (pow x 3)) y) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
9.0ms	(+ (* x x) (* 1.0 x))
185.0ms	(* (- (pow 1.0 3) (pow x 3)) y)
138.0ms	(/ (* (- (pow 1.0 3) (pow x 3)) y) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series483.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(fma z x (/ (* (- (pow 1.0 3) (pow x 3)) y) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
100.0ms	(+ (* x x) (* 1.0 x))
75.0ms	(* (- (pow 1.0 3) (pow x 3)) y)
149.0ms	(/ (* (- (pow 1.0 3) (pow x 3)) y) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify1.6s

Counts

108 → 108

Iterations

Useful iterations: 2 (524.0ms)

Iter	Nodes	Cost
0	175	1876
1	474	1608
2	2013	1412
done	5001	1412

prune525.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes78.0ms

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	7	8
1	8	8
done	8	8

end0.0ms

sample1.0s

Algorithm

intervals

Results

692.0ms

10054×

body

valid