Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

271×

body

valid

simplify79.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	9	11
1	21	11
2	39	10
3	63	10
4	93	10
5	124	10
6	126	10
done	126	10

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (* z z))
2.3b	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
3.5b	(* y (+ 1.0 (* z z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

31×	`times-frac`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
6×	`cbrt-undiv` `div-exp`
5×	`pow1` `add-log-exp`
4×	`associate-*r/`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `associate-r` `associate-l` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv`
2×	`associate-/r/`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `associate-/l/` `unswap-sqr`

Counts

3 → 90

Calls

3 calls:

2.0ms	(+ 1.0 (* z z))
8.0ms	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
7.0ms	(* y (+ 1.0 (* z z)))

series173.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ 1.0 (* z z))
75.0ms	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
63.0ms	(* y (+ 1.0 (* z z)))

simplify995.0ms

Counts

99 → 99

Iterations

Useful iterations: 2 (218.0ms)

Iter	Nodes	Cost
0	171	1238
1	442	1205
2	1469	956
done	5001	956

prune308.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.4b	(/ 1.0 (* (* (fma z z 1.0) x) y))
1.7b	(* (* (fma z z 1.0) x) y)
5.4b	(* (fma z z 1.0) x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`associate-l` `pow-prod-down`
3×	`cbrt-undiv` `expm1-log1p-u` `times-frac` `div-exp` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`*-commutative`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

7.0ms	(/ 1.0 (* (* (fma z z 1.0) x) y))
7.0ms	(* (* (fma z z 1.0) x) y)
3.0ms	(* (fma z z 1.0) x)

series198.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(/ 1.0 (* (* (fma z z 1.0) x) y))
54.0ms	(* (* (fma z z 1.0) x) y)
56.0ms	(* (fma z z 1.0) x)

simplify1.2s

Counts

74 → 74

Iterations

Useful iterations: 2 (204.0ms)

Iter	Nodes	Cost
0	118	901
1	292	876
2	1226	706
done	5000	706

prune191.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.3b

localize14.0ms

Local error

Found 3 expressions with local error:

0.4b	(/ 1 (/ (* y (fma z z 1.0)) (/ 1.0 x)))
2.3b	(/ (* y (fma z z 1.0)) (/ 1.0 x))
3.5b	(* y (fma z z 1.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

173×	`times-frac`
72×	`add-sqr-sqrt`
70×	`add-cube-cbrt` `*-un-lft-identity`
61×	`add-exp-log`
35×	`add-cbrt-cube`
34×	`div-exp`
31×	`associate-/r*`
17×	`cbrt-undiv`
12×	`div-inv`
9×	`prod-exp`
6×	`pow1` `associate-/r/`
5×	`rec-exp` `1-exp` `cbrt-unprod`
4×	`associate-/l*`
3×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `fma-udef`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`

Counts

3 → 180

Calls

3 calls:

11.0ms	(/ 1 (/ (* y (fma z z 1.0)) (/ 1.0 x)))
6.0ms	(/ (* y (fma z z 1.0)) (/ 1.0 x))
3.0ms	(* y (fma z z 1.0))

series236.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(/ 1 (/ (* y (fma z z 1.0)) (/ 1.0 x)))
77.0ms	(/ (* y (fma z z 1.0)) (/ 1.0 x))
70.0ms	(* y (fma z z 1.0))

simplify1.5s

Counts

189 → 189

Iterations

Useful iterations: 2 (582.0ms)

Iter	Nodes	Cost
0	304	3125
1	737	2842
2	2394	2452
done	5001	2452

prune354.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.3b

localize7.0ms

Local error

Found 2 expressions with local error:

2.3b	(/ (/ (/ 1.0 y) (fma z z 1.0)) x)
3.6b	(/ (/ 1.0 y) (fma z z 1.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

468×	`times-frac`
228×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
56×	`associate-/l*`
22×	`div-inv`
16×	`add-exp-log` `add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`

Counts

2 → 266

Calls

2 calls:

15.0ms	(/ (/ (/ 1.0 y) (fma z z 1.0)) x)
9.0ms	(/ (/ 1.0 y) (fma z z 1.0))

series139.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(/ (/ (/ 1.0 y) (fma z z 1.0)) x)
69.0ms	(/ (/ 1.0 y) (fma z z 1.0))

simplify1.8s

Counts

272 → 272

Iterations

Useful iterations: 2 (910.0ms)

Iter	Nodes	Cost
0	487	5734
1	1149	5447
2	3691	5301
done	5001	5301

prune855.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 4.3b

regimes187.0ms

Accuracy

0% (1.4b remaining)

Error of 6.3b against oracle of 4.9b and baseline of 6.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
done	8	10

end0.0ms

sample419.0ms

Algorithm

intervals

Results

244.0ms

8601×

body

valid