Details

sample34.0ms

Algorithm

intervals

Results

17.0ms

375×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	1258
8	482
7	248
6	176
5	157
4	150
3	90
2	35
1	13
0	7

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (fma (- x) 2.0 3.0) x)
0.2b	(* (* (fma (- x) 2.0 3.0) x) x)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

6.0ms	(* (fma (- x) 2.0 3.0) x)
17.0ms	(* (* (fma (- x) 2.0 3.0) x) x)

series240.0ms

Counts

2 → 6

Calls

2 calls:

128.0ms	(* (fma (- x) 2.0 3.0) x)
113.0ms	(* (* (fma (- x) 2.0 3.0) x) x)

simplify646.0ms

Counts

46 → 46

Iterations

Iter	Nodes
done	5001
2	914
1	150
0	62

prune180.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (pow x 2) (- 3.0 (* x 2.0)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`associate-l`
6×	`*-un-lft-identity` `prod-diff` `add-exp-log` `add-cube-cbrt`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`unpow-prod-down` `unswap-sqr`
3×	`add-cbrt-cube` `associate-r` `prod-exp`
2×	`sub-neg` `associate-*r/` `unpow2` `sqr-pow`
1×	`expm1-log1p-u` `pow-to-exp` `pow1` `flip3--` `pow-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `flip--` `add-log-exp`

Counts

1 → 41

Calls

1 calls:

30.0ms

(* (pow x 2) (- 3.0 (* x 2.0)))

series137.0ms

Counts

1 → 3

Calls

1 calls:

137.0ms

(* (pow x 2) (- 3.0 (* x 2.0)))

simplify799.0ms

Counts

44 → 44

Iterations

Iter	Nodes
done	5001
2	1104
1	199
0	88

prune172.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 2.0) (pow x 3))
0.0b	(+ (* (* 3.0 x) x) (* (- 2.0) (pow x 3)))
0.2b	(* (* 3.0 x) x)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`associate-r`
13×	`add-exp-log`
11×	`associate-l`
10×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
8×	`pow1`
6×	`prod-exp`
5×	`add-log-exp`
4×	`unpow-prod-down` `cube-prod` `cbrt-unprod` `unswap-sqr`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-neg-in` `pow-prod-down` `log1p-expm1-u`
2×	`*-commutative` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `+-commutative` `neg-mul-1` `sum-log` `fma-def` `flip3-+` `unpow3` `unsub-neg` `pow-exp` `flip-+`

Counts

3 → 77

Calls

3 calls:

14.0ms	(* (- 2.0) (pow x 3))
26.0ms	(+ (* (* 3.0 x) x) (* (- 2.0) (pow x 3)))
22.0ms	(* (* 3.0 x) x)

series242.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(* (- 2.0) (pow x 3))
147.0ms	(+ (* (* 3.0 x) x) (* (- 2.0) (pow x 3)))
36.0ms	(* (* 3.0 x) x)

simplify2.0s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
2	2433
1	343
0	117

prune470.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* (fma 2.0 x 3.0) (fma (- x) 2.0 3.0)) (pow x 2))
4.1b	(/ (* (* (fma 2.0 x 3.0) (fma (- x) 2.0 3.0)) (pow x 2)) (+ 3.0 (* x 2.0)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-exp-log`
18×	`prod-exp`
16×	`add-cbrt-cube`
8×	`associate-r`
7×	`div-exp`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `cbrt-unprod`
4×	`pow-to-exp` `pow-exp`
3×	`cbrt-undiv` `associate-/r*` `unpow-prod-down` `times-frac`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `flip3-+` `associate-l` `-commutative` `flip-+` `div-inv` `associate-/l` `unpow2` `sqr-pow`

Counts

2 → 58

Calls

2 calls:

34.0ms	(* (* (fma 2.0 x 3.0) (fma (- x) 2.0 3.0)) (pow x 2))
29.0ms	(/ (* (* (fma 2.0 x 3.0) (fma (- x) 2.0 3.0)) (pow x 2)) (+ 3.0 (* x 2.0)))

series688.0ms

Counts

2 → 6

Calls

2 calls:

266.0ms	(* (* (fma 2.0 x 3.0) (fma (- x) 2.0 3.0)) (pow x 2))
422.0ms	(/ (* (* (fma 2.0 x 3.0) (fma (- x) 2.0 3.0)) (pow x 2)) (+ 3.0 (* x 2.0)))

simplify1.5s

Counts

64 → 64

Iterations

Iter	Nodes
done	5002
2	2471
1	358
0	122

prune359.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	21
3	21
2	20
1	16
0	10

end0.0ms

sample877.0ms

Algorithm

intervals

Results

650.0ms

12101×

body

valid