Details

sample36.0ms

Algorithm

intervals

Results

16.0ms

322×

body

valid

simplify883.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

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` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
1×	`+-commutative` `flip3--` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

17.0ms	(+ (* x y) (* (- 1.0 x) z))
48.0ms	(* (- 1.0 x) z)

series81.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* x y) (* (- 1.0 x) z))
42.0ms	(* (- 1.0 x) z)

simplify2.4s

Counts

44 → 44

Iterations

Useful iterations: 2 (130.0ms)

Iter	Nodes	Cost
0	75	437
1	197	393
2	731	361
3	3336	361
done	5000	361

prune170.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

1.0ms

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

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

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

simplify1.5s

Counts

13 → 13

Iterations

Useful iterations: 2 (23.0ms)

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

prune34.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
3.9b	(* (- (* 1.0 1.0) (* x x)) z)
7.1b	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

31.0ms	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
37.0ms	(* (- (* 1.0 1.0) (* x x)) z)
35.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series212.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
50.0ms	(* (- (* 1.0 1.0) (* x x)) z)
82.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify1.5s

Counts

75 → 75

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	128	1247
1	385	1150
2	1614	1014
done	5001	805

prune231.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `prod-diff`
16×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `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 → 56

Calls

2 calls:

24.0ms	(* x (- y z))
0.0ms	(fma 1.0 z (* x (- y z)))

series108.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* x (- y z))
62.0ms	(fma 1.0 z (* x (- y z)))

simplify1.9s

Counts

62 → 62

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	116	865
1	212	683
2	477	557
3	2167	515
done	5001	461

prune138.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample791.0ms

Algorithm

intervals

Results

341.0ms

10051×

body

valid