Details

sample51.0ms

Algorithm

intervals

Results

25.0ms

344×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4902
6	1065
5	403
4	228
3	106
2	49
1	25
0	14

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (fma z 1.0 1) (* t z)) 1)
0.0b	(fma (- (/ (fma z 1.0 1) (* t z)) 1) 2.0 (/ x y))
8.0b	(/ (fma z 1.0 1) (* t z))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
21×	`prod-diff`
20×	`add-cube-cbrt`
15×	`times-frac`
14×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`fma-neg`
5×	`div-inv` `add-log-exp`
4×	`div-exp`
3×	`expm1-log1p-u` `pow1` `expm1-def` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `prod-exp` `difference-of-squares`
1×	`clear-num` `associate-/r*` `sub-neg` `frac-2neg` `flip3--` `diff-log` `difference-of-sqr-1` `cbrt-unprod` `fma-udef` `flip--` `distribute-lft-out--`

Counts

3 → 82

Calls

3 calls:

41.0ms	(- (/ (fma z 1.0 1) (* t z)) 1)
0.0ms	(fma (- (/ (fma z 1.0 1) (* t z)) 1) 2.0 (/ x y))
6.0ms	(/ (fma z 1.0 1) (* t z))

series226.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- (/ (fma z 1.0 1) (* t z)) 1)
94.0ms	(fma (- (/ (fma z 1.0 1) (* t z)) 1) 2.0 (/ x y))
81.0ms	(/ (fma z 1.0 1) (* t z))

simplify988.0ms

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1112
1	318
0	135

prune515.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (/ 1 t) z) 1)
0.0b	(+ (/ 1.0 t) (- (/ (/ 1 t) z) 1))
0.0b	(fma (+ (/ 1.0 t) (- (/ (/ 1 t) z) 1)) 2.0 (/ x y))
0.3b	(/ (/ 1 t) z)

rewrite301.0ms

Algorithm

rewrite-expression-head

Rules

561×	`times-frac`
412×	`add-sqr-sqrt`
398×	`*-un-lft-identity`
384×	`add-cube-cbrt`
258×	`prod-diff`
131×	`associate-+r+`
43×	`fma-neg`
34×	`div-inv`
23×	`add-exp-log`
13×	`fma-def` `associate-/l*`
12×	`div-exp`
11×	`add-log-exp`
9×	`add-cbrt-cube`
8×	`difference-of-squares`
5×	`expm1-def`
4×	`expm1-log1p-u` `pow1` `difference-of-sqr-1` `log1p-expm1-u`
3×	`cbrt-undiv` `associate-/r*`
2×	`rec-exp` `sum-log` `sub-neg` `flip3--` `diff-log` `1-exp` `frac-add` `flip--` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `clear-num` `associate-+r-` `frac-2neg` `flip3-+` `flip-+` `fma-udef` `associate-/l/`

Counts

4 → 451

Calls

4 calls:

60.0ms	(- (/ (/ 1 t) z) 1)
170.0ms	(+ (/ 1.0 t) (- (/ (/ 1 t) z) 1))
1.0ms	(fma (+ (/ 1.0 t) (- (/ (/ 1 t) z) 1)) 2.0 (/ x y))
18.0ms	(/ (/ 1 t) z)

series154.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (/ (/ 1 t) z) 1)
34.0ms	(+ (/ 1.0 t) (- (/ (/ 1 t) z) 1))
76.0ms	(fma (+ (/ 1.0 t) (- (/ (/ 1 t) z) 1)) 2.0 (/ x y))
17.0ms	(/ (/ 1 t) z)

simplify2.0s

Counts

463 → 463

Iterations

Iter	Nodes
done	5000
2	4064
1	1155
0	493

prune2.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 1.0 t) (+ (fma (/ 1 z) (/ 1 t) -1) 0))
0.0b	(fma (+ (/ 1.0 t) (+ (fma (/ 1 z) (/ 1 t) -1) 0)) 2.0 (/ x y))
0.2b	(fma (/ 1 z) (/ 1 t) -1)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`fma-def`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
8×	`add-log-exp`
3×	`expm1-log1p-u` `pow1` `sum-log` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `distribute-lft-out`
2×	`flip3-+` `frac-add` `flip-+` `fma-udef`
1×	`+-commutative` `associate-+r+` `div-inv`

Counts

3 → 52

Calls

3 calls:

42.0ms	(+ (/ 1.0 t) (+ (fma (/ 1 z) (/ 1 t) -1) 0))
0.0ms	(fma (+ (/ 1.0 t) (+ (fma (/ 1 z) (/ 1 t) -1) 0)) 2.0 (/ x y))
1.0ms	(fma (/ 1 z) (/ 1 t) -1)

series188.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (/ 1.0 t) (+ (fma (/ 1 z) (/ 1 t) -1) 0))
108.0ms	(fma (+ (/ 1.0 t) (+ (fma (/ 1 z) (/ 1 t) -1) 0)) 2.0 (/ x y))
41.0ms	(fma (/ 1 z) (/ 1 t) -1)

simplify1.3s

Counts

61 → 61

Iterations

Iter	Nodes
done	5001
2	1570
1	267
0	93

prune430.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ 1 t)) (cbrt (/ 1 t)))
0.5b	(cbrt (/ 1 t))
0.5b	(cbrt (/ 1 t))
0.5b	(cbrt (/ 1 t))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

119×	`cbrt-prod`
97×	`add-sqr-sqrt`
79×	`times-frac`
67×	`*-un-lft-identity`
57×	`add-cube-cbrt`
18×	`swap-sqr`
16×	`associate-r` `associate-l` `unswap-sqr`
11×	`pow1`
9×	`pow1/3` `div-inv`
7×	`cbrt-div`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 161

Calls

4 calls:

41.0ms	(* (cbrt (/ 1 t)) (cbrt (/ 1 t)))
4.0ms	(cbrt (/ 1 t))
4.0ms	(cbrt (/ 1 t))
4.0ms	(cbrt (/ 1 t))

series973.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(* (cbrt (/ 1 t)) (cbrt (/ 1 t)))
226.0ms	(cbrt (/ 1 t))
257.0ms	(cbrt (/ 1 t))
230.0ms	(cbrt (/ 1 t))

simplify1.3s

Counts

173 → 173

Iterations

Iter	Nodes
done	5001
2	1088
1	255
0	143

prune924.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes677.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	14

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

10495×

body

valid