Details

sample62.0ms

Algorithm

intervals

Results

41.0ms

267×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3253
7	1321
6	488
5	206
4	113
3	64
2	39
1	25
0	13

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* y z) x)
0.3b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.4b	(/ (- (* y z) x) (- (* t z) x))

rewrite290.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
25×	`times-frac`
24×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`expm1-log1p-u` `pow1` `div-sub` `associate-/r/` `insert-posit16` `log1p-expm1-u` `associate-/l/`
3×	`fma-def` `flip3-+` `flip3--` `prod-diff` `flip-+` `flip--`
2×	`cbrt-undiv` `clear-num` `associate-+r-` `frac-2neg` `div-exp` `div-inv`
1×	`+-commutative` `sum-log` `sub-neg` `fma-neg` `diff-log`

Counts

4 → 117

Calls

4 calls:

50.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
16.0ms	(- (* y z) x)
167.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
55.0ms	(/ (- (* y z) x) (- (* t z) x))

series474.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
38.0ms	(- (* y z) x)
185.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
104.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify1.8s

Counts

129 → 129

Iterations

Iter	Nodes
done	5004
2	1587
1	489
0	187

prune685.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.7b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (fma y z (- x)) (- (* t z) x)))
0.3b	(/ (+ x (/ (fma y z (- x)) (- (* t z) x))) (+ x 1.0))
8.4b	(/ (fma y z (- x)) (- (* t z) x))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
7×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
5×	`add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `pow1` `fma-def` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3--` `flip--`

Counts

3 → 93

Calls

3 calls:

28.0ms	(+ x (/ (fma y z (- x)) (- (* t z) x)))
100.0ms	(/ (+ x (/ (fma y z (- x)) (- (* t z) x))) (+ x 1.0))
13.0ms	(/ (fma y z (- x)) (- (* t z) x))

series425.0ms

Counts

3 → 9

Calls

3 calls:

142.0ms	(+ x (/ (fma y z (- x)) (- (* t z) x)))
180.0ms	(/ (+ x (/ (fma y z (- x)) (- (* t z) x))) (+ x 1.0))
103.0ms	(/ (fma y z (- x)) (- (* t z) x))

simplify2.3s

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
3	3749
2	980
1	339
0	146

prune525.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.7b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (fma y z (- x)) (- (* t z) x)))
0.0b	(/ 1 (+ x 1.0))
0.3b	(* (+ x (/ (fma y z (- x)) (- (* t z) x))) (/ 1 (+ x 1.0)))
8.4b	(/ (fma y z (- x)) (- (* t z) x))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
38×	`add-sqr-sqrt`
35×	`times-frac`
31×	`add-cube-cbrt`
19×	`add-exp-log`
18×	`associate-r`
13×	`add-cbrt-cube`
9×	`distribute-lft-out`
7×	`pow1` `associate-/r*`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`flip3-+` `div-exp` `flip-+`
4×	`expm1-log1p-u` `associate-l` `prod-exp` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `fma-def` `div-inv` `unswap-sqr`
2×	`frac-times` `rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-*l/` `cbrt-unprod`
1×	`+-commutative` `sum-log` `flip3--` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `flip--` `inv-pow`

Counts

4 → 139

Calls

4 calls:

37.0ms	(+ x (/ (fma y z (- x)) (- (* t z) x)))
12.0ms	(/ 1 (+ x 1.0))
115.0ms	(* (+ x (/ (fma y z (- x)) (- (* t z) x))) (/ 1 (+ x 1.0)))
12.0ms	(/ (fma y z (- x)) (- (* t z) x))

series458.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(+ x (/ (fma y z (- x)) (- (* t z) x)))
39.0ms	(/ 1 (+ x 1.0))
197.0ms	(* (+ x (/ (fma y z (- x)) (- (* t z) x))) (/ 1 (+ x 1.0)))
118.0ms	(/ (fma y z (- x)) (- (* t z) x))

simplify2.0s

Counts

151 → 151

Iterations

Iter	Nodes
done	5000
2	1565
1	499
0	200

prune862.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.7b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (fma z y (- x)) (fma t z (- x))) x)
0.3b	(/ (+ (/ (fma z y (- x)) (fma t z (- x))) x) (+ x 1.0))
8.4b	(/ (fma z y (- x)) (fma t z (- x)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
34×	`times-frac`
28×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`fma-def`
11×	`distribute-lft-out`
7×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
5×	`add-log-exp`
3×	`expm1-log1p-u` `pow1` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-/r/` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

3 → 101

Calls

3 calls:

10.0ms	(+ (/ (fma z y (- x)) (fma t z (- x))) x)
58.0ms	(/ (+ (/ (fma z y (- x)) (fma t z (- x))) x) (+ x 1.0))
8.0ms	(/ (fma z y (- x)) (fma t z (- x)))

series396.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(+ (/ (fma z y (- x)) (fma t z (- x))) x)
207.0ms	(/ (+ (/ (fma z y (- x)) (fma t z (- x))) x) (+ x 1.0))
109.0ms	(/ (fma z y (- x)) (fma t z (- x)))

simplify2.8s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
3	4299
2	946
1	320
0	146

prune536.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.7b

regimes285.0ms

Accuracy

59.5% (2.5b remaining)

Error of 3.3b against oracle of 0.8b and baseline of 7.0b

bsearch128.0ms

Steps

Iters	Range		Point
9	2.705484573839852e+50	7.744011567718023e+57	6.1748496171283856e+57
8	-8.569295262508675e+91	-4.32319908000979e+87	-1.0197481473119013e+88

simplify21.0ms

Iterations

Iter	Nodes
done	27
1	27
0	21

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

8323×

body

valid