Details

sample37.0ms

Algorithm

intervals

Results

16.0ms

321×

body

valid

simplify804.0ms

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

prune8.0ms

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

rewrite33.0ms

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))
31.0ms	(* (- 1.0 x) z)

series94.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(fma x y (* (- 1.0 x) z))
50.0ms	(* (- 1.0 x) z)

simplify1.3s

Counts

40 → 40

Iterations

Useful iterations: 3 (453.0ms)

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

prune134.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x y (/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
0.0b	(+ (* x x) (* 1.0 x))
2.9b	(* (- (pow 1.0 3) (pow x 3)) z)
9.1b	(/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite307.0ms

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:

1.0ms	(fma x y (/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
16.0ms	(+ (* x x) (* 1.0 x))
149.0ms	(* (- (pow 1.0 3) (pow x 3)) z)
133.0ms	(/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series359.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(fma x y (/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
66.0ms	(+ (* x x) (* 1.0 x))
68.0ms	(* (- (pow 1.0 3) (pow x 3)) z)
133.0ms	(/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify1.3s

Counts

108 → 108

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	174	1876
1	476	1611
2	2018	1413
done	5002	1412

prune535.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x y (* (* (- 1.0 x) (sqrt z)) (sqrt z)))
0.1b	(* (- 1.0 x) (sqrt z))
0.3b	(* (* (- 1.0 x) (sqrt z)) (sqrt z))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

1.0ms	(fma x y (* (* (- 1.0 x) (sqrt z)) (sqrt z)))
47.0ms	(* (- 1.0 x) (sqrt z))
72.0ms	(* (* (- 1.0 x) (sqrt z)) (sqrt z))

series167.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(fma x y (* (* (- 1.0 x) (sqrt z)) (sqrt z)))
66.0ms	(* (- 1.0 x) (sqrt z))
51.0ms	(* (* (- 1.0 x) (sqrt z)) (sqrt z))

simplify2.0s

Counts

72 → 72

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	113	829
1	273	646
2	792	568
3	2717	559
done	5000	555

prune159.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes65.0ms

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

sample947.0ms

Algorithm

intervals

Results

410.0ms

10100×

body

valid