Details

sample34.0ms

Algorithm

intervals

Results

17.0ms	291×	body	80	valid
3.0ms	12×	body	640	valid
2.0ms	8×	body	1280	valid
1.0ms	6×	body	160	valid
1.0ms	4×	body	320	valid

simplify638.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
5	1293
4	501
3	166
2	50
1	21
0	12

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* (- y x) 6.0)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.4b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

199×	`add-sqr-sqrt`
195×	`prod-diff`
191×	`*-un-lft-identity`
185×	`add-cube-cbrt`
146×	`times-frac`
82×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
16×	`div-inv`
13×	`fma-neg`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`associate-*l/`
9×	`associate-r`
8×	`flip3--` `flip--` `add-log-exp`
6×	`associate-l`
5×	`sub-neg` `difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`fma-def` `distribute-lft-out--`
2×	`associate-r/` `-commutative`
1×	`+-commutative` `sum-log` `flip3-+` `diff-log` `flip-+` `unswap-sqr`

Counts

4 → 308

Calls

4 calls:

17.0ms	(- (/ 2.0 3.0) z)
26.0ms	(* (- y x) 6.0)
17.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
62.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series216.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (/ 2.0 3.0) z)
44.0ms	(* (- y x) 6.0)
84.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
60.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify777.0ms

Counts

320 → 320

Iterations

Iter	Nodes
done	2001
1	1103
0	404

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 2.0 3.0) (- z))
0.0b	(* 6.0 (+ (/ 2.0 3.0) (- z)))
0.0b	(* (- y x) 6.0)
0.1b	(fma (- y x) (* 6.0 (+ (/ 2.0 3.0) (- z))) x)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
13×	`fma-def`
9×	`times-frac`
8×	`pow1` `add-cbrt-cube` `associate-r` `associate-l` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
2×	`sum-log` `distribute-rgt-neg-in` `flip3-+` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`neg-sub0` `distribute-rgt-in` `+-commutative` `associate-+r-` `distribute-lft-in` `flip3--` `unsub-neg` `neg-log` `fma-udef` `div-inv` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 96

Calls

4 calls:

14.0ms	(+ (/ 2.0 3.0) (- z))
48.0ms	(* 6.0 (+ (/ 2.0 3.0) (- z)))
23.0ms	(* (- y x) 6.0)
0.0ms	(fma (- y x) (* 6.0 (+ (/ 2.0 3.0) (- z))) x)

series203.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (/ 2.0 3.0) (- z))
60.0ms	(* 6.0 (+ (/ 2.0 3.0) (- z)))
41.0ms	(* (- y x) 6.0)
76.0ms	(fma (- y x) (* 6.0 (+ (/ 2.0 3.0) (- z))) x)

simplify688.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	2001
2	1279
1	360
0	136

prune592.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 4.0 (* 6.0 z))
0.0b	(* (- y x) 6.0)
0.1b	(fma (- y x) (- 4.0 (* 6.0 z)) x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt`
5×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-log-exp`
3×	`expm1-log1p-u` `fma-neg` `associate-r` `prod-diff` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `associate-*l/` `flip--`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

4.0ms	(- 4.0 (* 6.0 z))
15.0ms	(* (- y x) 6.0)
0.0ms	(fma (- y x) (- 4.0 (* 6.0 z)) x)

series143.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- 4.0 (* 6.0 z))
31.0ms	(* (- y x) 6.0)
61.0ms	(fma (- y x) (- 4.0 (* 6.0 z)) x)

simplify530.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	2013
2	656
1	247
0	111

prune308.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

12.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series975.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(* (cbrt x) (cbrt x))
237.0ms	(cbrt x)
232.0ms	(cbrt x)
244.0ms	(cbrt x)

simplify591.0ms

Counts

97 → 97

Iterations

Iter	Nodes
done	2002
3	1106
2	364
1	141
0	67

prune406.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes272.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	23
1	23
0	16

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s	9311×	body	80	valid
76.0ms	139×	body	1280	valid
75.0ms	258×	body	640	valid
41.0ms	192×	body	320	valid
18.0ms	126×	body	160	valid