Details

sample45.0ms

Algorithm

intervals

Results

18.0ms

332×

body

valid

simplify6.1s

Counts

1 → 1

Iterations

Useful iterations: 4 (72.0ms)

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize27.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

15.0ms

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

series86.0ms

Counts

1 → 3

Calls

1 calls:

86.0ms

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

simplify4.1s

Counts

23 → 23

Iterations

Useful iterations: 2 (506.0ms)

Iter	Nodes	Cost
0	44	266
1	94	259
2	301	219
3	2400	219
done	5001	219

prune175.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x 1.0 (* (* x z) (- y 1.0)))
4.1b	(* (* x z) (- y 1.0))

rewrite69.0ms

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)))
64.0ms	(* (* x z) (- y 1.0))

series180.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(fma x 1.0 (* (* x z) (- y 1.0)))
78.0ms	(* (* x z) (- y 1.0))

simplify2.6s

Counts

62 → 62

Iterations

Useful iterations: done (2.6s)

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

prune283.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))
0.0b	(fma x 1.0 (/ (* (- (pow y 3) (pow 1.0 3)) (* x z)) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))))
6.8b	(* (- (pow y 3) (pow 1.0 3)) (* x z))
15.8b	(/ (* (- (pow y 3) (pow 1.0 3)) (* x z)) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))

rewrite392.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

39.0ms	(+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))
1.0ms	(fma x 1.0 (/ (* (- (pow y 3) (pow 1.0 3)) (* x z)) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))))
187.0ms	(* (- (pow y 3) (pow 1.0 3)) (* x z))
159.0ms	(/ (* (- (pow y 3) (pow 1.0 3)) (* x z)) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))

series582.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))
224.0ms	(fma x 1.0 (/ (* (- (pow y 3) (pow 1.0 3)) (* x z)) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))))
119.0ms	(* (- (pow y 3) (pow 1.0 3)) (* x z))
193.0ms	(/ (* (- (pow y 3) (pow 1.0 3)) (* x z)) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0))))

simplify2.7s

Counts

111 → 111

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	180	2289
1	556	2007
2	3134	1689
done	5000	1672

prune843.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.4b	(* (* (sqrt x) (fma z (- y 1.0) 1.0)) (sqrt x))
0.6b	(* (sqrt x) (fma z (- y 1.0) 1.0))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `sqrt-prod`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `*-commutative` `fma-udef` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

2 → 49

Calls

2 calls:

55.0ms	(* (* (sqrt x) (fma z (- y 1.0) 1.0)) (sqrt x))
18.0ms	(* (sqrt x) (fma z (- y 1.0) 1.0))

series216.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(* (* (sqrt x) (fma z (- y 1.0) 1.0)) (sqrt x))
133.0ms	(* (sqrt x) (fma z (- y 1.0) 1.0))

simplify1.3s

Counts

55 → 55

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	97	805
1	255	764
2	1262	615
done	5001	590

prune309.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes248.0ms

Accuracy

81.3% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.6b

bsearch130.0ms

Steps

Iters	Range		Point
9	2.30266622583855e-133	6.959319054786122e-126	6.815802930557607e-126
6	-1.2579537962685533e-43	-1.3413886395936645e-44	-9.659274902586744e-44

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	16	36
1	22	27
done	22	27

end0.0ms

sample1.2s

Algorithm

intervals

Results

608.0ms

10050×

body

valid