Details

sample42.0ms

Algorithm

intervals

Results

17.0ms

309×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	8	164
1	14	139
2	24	139
3	40	139
4	72	139
5	97	139
6	108	139
7	129	139
8	173	139
9	394	139
10	1556	139
done	5001	139

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

0.0ms	(fma x y (* (- x 1.0) z))
23.0ms	(* (- x 1.0) z)

series79.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(fma x y (* (- x 1.0) z))
42.0ms	(* (- x 1.0) z)

simplify3.6s

Counts

40 → 40

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	64	6907
1	137	6295
2	497	6140
3	4885	6140
done	5000	6140

prune232.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
2.9b	(* (- (* x x) (* 1.0 1.0)) z)
5.3b	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

0.0ms	(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
41.0ms	(* (- (* x x) (* 1.0 1.0)) z)
22.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series233.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(fma x y (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
56.0ms	(* (- (* x x) (* 1.0 1.0)) z)
96.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify1.7s

Counts

71 → 71

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	118	20116
1	338	18066
2	2057	16886
done	5000	16566

prune404.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`sqrt-prod`
23×	`pow1`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt`
11×	`associate-l`
10×	`sqrt-pow1` `pow1/2`
9×	`associate-r`
8×	`add-cbrt-cube` `swap-sqr` `add-exp-log`
5×	`pow-prod-up` `unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod`
1×	`pow2` `rem-square-sqrt` `pow-plus` `flip3--` `sqrt-unprod` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

18.0ms	(* (- x 1.0) z)
1.0ms	(sqrt (fma x y (* (- x 1.0) z)))
1.0ms	(sqrt (fma x y (* (- x 1.0) z)))
21.0ms	(* (sqrt (fma x y (* (- x 1.0) z))) (sqrt (fma x y (* (- x 1.0) z))))

series337.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (- x 1.0) z)
121.0ms	(sqrt (fma x y (* (- x 1.0) z)))
108.0ms	(sqrt (fma x y (* (- x 1.0) z)))
63.0ms	(* (sqrt (fma x y (* (- x 1.0) z))) (sqrt (fma x y (* (- x 1.0) z))))

simplify1.1s

Counts

117 → 117

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	126	28498
1	284	23212
2	987	22817
done	5000	22537

prune572.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes170.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	139
1	8	139
done	8	139

end0.0ms

sample882.0ms

Algorithm

intervals

Results

483.0ms

10127×

body

valid