Details

sample24.0ms

Algorithm

intervals

Results

9.0ms

325×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 4 (40.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	34	9
3	92	9
4	261	8
5	921	8
6	4701	8
done	5000	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
3.4b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
8×	`add-cube-cbrt` `associate-l`
6×	`pow1` `add-exp-log` `associate-r` `prod-diff` `add-cbrt-cube`
5×	`distribute-rgt-in` `distribute-lft-in`
2×	`expm1-log1p-u` `sub-neg` `flip3--` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 56

Calls

2 calls:

32.0ms	(* (- 1.0 y) z)
24.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series101.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* (- 1.0 y) z)
66.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify757.0ms

Counts

62 → 62

Iterations

Useful iterations: done (755.0ms)

Iter	Nodes	Cost
0	114	726
1	271	706
2	1144	622
done	5001	611

prune155.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

2.9b	(fma (* x y) z (* 1.0 (- x (* 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 (* x y) z (* 1.0 (- x (* x z))))

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

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

simplify1.1s

Counts

13 → 13

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	26	200
1	49	196
2	141	144
3	667	144
done	5001	144

prune47.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x 1.0 (* (* x z) (- y 1.0)))
5.0b	(* (* x z) (- y 1.0))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

18×	`prod-diff`
17×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 56

Calls

2 calls:

0.0ms	(fma x 1.0 (* (* x z) (- y 1.0)))
41.0ms	(* (* x z) (- y 1.0))

series151.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(fma x 1.0 (* (* x z) (- y 1.0)))
66.0ms	(* (* x z) (- y 1.0))

simplify1.7s

Counts

62 → 62

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	129	1051
1	359	884
2	2148	704
done	5000	674

prune144.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- y 1.0))
0.3b	(cbrt (- y 1.0))
2.3b	(* (* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* x z)) (cbrt (- y 1.0)))
2.7b	(* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* x z))

rewrite484.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
48×	`associate-*l/`
35×	`flip3--` `flip--`
34×	`pow1` `add-exp-log`
32×	`frac-times`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
15×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`associate-*r/`
9×	`associate-r`
8×	`add-cube-cbrt`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 126

Calls

4 calls:

6.0ms	(cbrt (- y 1.0))
7.0ms	(cbrt (- y 1.0))
364.0ms	(* (* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* x z)) (cbrt (- y 1.0)))
96.0ms	(* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* x z))

series698.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (- y 1.0))
174.0ms	(cbrt (- y 1.0))
96.0ms	(* (* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* x z)) (cbrt (- y 1.0)))
310.0ms	(* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* x z))

simplify1.6s

Counts

138 → 138

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	239	2953
1	649	2804
2	2934	2381
done	5000	2215

prune385.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes163.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	10	10
done	10	10

end0.0ms

sample943.0ms

Algorithm

intervals

Results

424.0ms

10139×

body

valid