Details

sample18.0ms

Algorithm

intervals

Results

6.0ms

334×

body

valid

simplify38.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	66	3
4	86	3
5	97	3
6	118	3
7	159	3
8	244	3
9	442	3
10	626	3
11	691	3
12	738	3
13	765	3
14	765	3
done	765	3

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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 (* (- x 1.0) z))
20.0ms	(* (- x 1.0) z)

series66.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(fma x y (* (- x 1.0) z))
32.0ms	(* (- x 1.0) z)

simplify48.0ms

Counts

40 → 40

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	133	158
1	462	135
2	2228	135
3	5001	135
done	5001	135

prune80.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
2.7b	(* (- (* x x) (* 1.0 1.0)) z)
4.8b	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite53.0ms

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`
4×	`times-frac` `associate-l` `associate-l/` `associate-/r`
3×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `associate-/l/` `distribute-lft-out`
1×	`frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `-commutative` `flip-+` `fma-udef` `div-inv` `associate-/l` `difference-of-squares` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

1.0ms	(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
27.0ms	(* (- (* x x) (* 1.0 1.0)) z)
24.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series182.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
43.0ms	(* (- (* x x) (* 1.0 1.0)) z)
81.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify44.0ms

Counts

71 → 71

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	325	510
1	1502	435
2	5001	421
done	5001	421

prune158.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity` `add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `prod-diff`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `fma-neg` `diff-log` `flip--` `fma-udef`

Counts

2 → 29

Calls

2 calls:

0.0ms	(fma x y (* 1.0 (- (* x z) z)))
8.0ms	(- (* x z) z)

series62.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(fma x y (* 1.0 (- (* x z) z)))
23.0ms	(- (* x z) z)

simplify95.0ms

Counts

35 → 35

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	141	171
1	512	134
2	3001	130
3	5002	127
done	5002	127

prune68.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ x 1.0))
0.2b	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
3.4b	(* (/ (- (* x x) (* 1.0 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ z (cbrt (+ x 1.0))))
4.0b	(/ (- (* x x) (* 1.0 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
42×	`cbrt-prod`
40×	`cbrt-div`
36×	`times-frac`
34×	`associate-r`
32×	`add-exp-log`
31×	`add-cube-cbrt`
23×	`associate-l`
21×	`add-cbrt-cube`
20×	`flip3-+` `flip-+`
18×	`associate-/r/`
13×	`pow1` `frac-times`
10×	`prod-exp` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
9×	`cbrt-undiv` `swap-sqr` `div-exp`
7×	`pow1/3` `associate-r/` `associate-l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`pow-prod-down` `div-inv` `difference-of-squares`
2×	`pow-sqr` `*-commutative` `pow-prod-up` `associate-/l/`
1×	`pow2` `flip3--` `frac-2neg` `pow-plus` `div-sub` `clear-num` `associate-/r*` `flip--`

Counts

4 → 182

Calls

4 calls:

4.0ms	(cbrt (+ x 1.0))
37.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
103.0ms	(* (/ (- (* x x) (* 1.0 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ z (cbrt (+ x 1.0))))
33.0ms	(/ (- (* x x) (* 1.0 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))

series382.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(cbrt (+ x 1.0))
96.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
62.0ms	(* (/ (- (* x x) (* 1.0 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ z (cbrt (+ x 1.0))))
141.0ms	(/ (- (* x x) (* 1.0 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))

simplify113.0ms

Counts

194 → 194

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	920	2274
1	4369	2030
2	5002	2024
done	5002	2024

prune583.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

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	10	4
1	10	4
done	10	4

end0.0ms

sample465.0ms

Algorithm

intervals

Results

206.0ms

10101×

body

valid