Details

sample49.0ms

Algorithm

intervals

Results

25.0ms

342×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (- (/ (fma z 1.0 1) (* t z)) 1) 2.0 (/ x y))
10.1b	(/ (fma z 1.0 1) (* t z))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`times-frac` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `associate-/r*` `frac-2neg` `prod-exp` `cbrt-unprod` `fma-udef` `div-inv`

Counts

2 → 33

Calls

2 calls:

0.0ms	(fma (- (/ (fma z 1.0 1) (* t z)) 1) 2.0 (/ x y))
11.0ms	(/ (fma z 1.0 1) (* t z))

series168.0ms

Counts

2 → 6

Calls

2 calls:

105.0ms	(fma (- (/ (fma z 1.0 1) (* t z)) 1) 2.0 (/ x y))
63.0ms	(/ (fma z 1.0 1) (* t z))

simplify1.7s

Counts

39 → 39

Iterations

Iter	Nodes
done	5001
3	3113
2	536
1	158
0	74

prune272.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
45×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`associate-/l*`
12×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`div-exp`
5×	`div-inv`
3×	`expm1-log1p-u` `pow1` `cbrt-undiv` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`

Counts

3 → 94

Calls

3 calls:

0.0ms	(fma (- (fma 1.0 (/ 1 t) (/ (/ 1 t) z)) 1) 2.0 (/ x y))
0.0ms	(fma 1.0 (/ 1 t) (/ (/ 1 t) z))
10.0ms	(/ (/ 1 t) z)

series169.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(fma (- (fma 1.0 (/ 1 t) (/ (/ 1 t) z)) 1) 2.0 (/ x y))
46.0ms	(fma 1.0 (/ 1 t) (/ (/ 1 t) z))
22.0ms	(/ (/ 1 t) z)

simplify1.0s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1391
1	389
0	182

prune716.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-exp-log`
41×	`add-sqr-sqrt`
30×	`times-frac`
23×	`*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`div-exp` `prod-exp`
15×	`add-cbrt-cube`
13×	`associate-r` `associate-l`
9×	`unswap-sqr`
8×	`rec-exp` `1-exp`
7×	`pow1`
4×	`cbrt-undiv` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef` `div-inv` `pow-flip` `inv-pow`
1×	`frac-times` `associate-l/` `associate-r/` `un-div-inv` `*-commutative`

Counts

3 → 92

Calls

3 calls:

0.0ms	(fma (- (fma 1.0 (/ 1 t) (* (/ 1 t) (/ 1 z))) 1) 2.0 (/ x y))
0.0ms	(fma 1.0 (/ 1 t) (* (/ 1 t) (/ 1 z)))
25.0ms	(* (/ 1 t) (/ 1 z))

series138.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(fma (- (fma 1.0 (/ 1 t) (* (/ 1 t) (/ 1 z))) 1) 2.0 (/ x y))
44.0ms	(fma 1.0 (/ 1 t) (* (/ 1 t) (/ 1 z)))
17.0ms	(* (/ 1 t) (/ 1 z))

simplify2.1s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2548
1	454
0	158

prune494.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

96×	`times-frac`
67×	`*-un-lft-identity`
56×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`fma-def` `associate-/l*`
12×	`add-exp-log`
11×	`div-inv`
8×	`add-cbrt-cube`
7×	`distribute-lft-out`
6×	`div-exp`
5×	`add-log-exp`
3×	`expm1-log1p-u` `pow1` `cbrt-undiv` `associate-/r*` `log1p-expm1-u`
1×	`+-commutative` `rec-exp` `clear-num` `sum-log` `frac-2neg` `flip3-+` `distribute-rgt-out` `1-exp` `frac-add` `flip-+` `fma-udef` `associate-/l/`

Counts

3 → 119

Calls

3 calls:

41.0ms	(+ (/ 1.0 t) (/ (/ 1 z) t))
0.0ms	(fma (- (+ (/ 1.0 t) (/ (/ 1 z) t)) 1) 2.0 (/ x y))
14.0ms	(/ (/ 1 z) t)

series115.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ (/ 1.0 t) (/ (/ 1 z) t))
65.0ms	(fma (- (+ (/ 1.0 t) (/ (/ 1 z) t)) 1) 2.0 (/ x y))
12.0ms	(/ (/ 1 z) t)

simplify1.1s

Counts

128 → 128

Iterations

Iter	Nodes
done	5002
2	1832
1	471
0	202

prune638.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes485.0ms

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	15
1	15
0	13

end0.0ms

sample1.4s

Algorithm

intervals

Results

978.0ms

10461×

body

valid