Details

sample44.0ms

Algorithm

intervals

Results

17.0ms	97×	body	1280	valid
7.0ms	52×	body	640	valid
3.0ms	17×	body	2560	valid
3.0ms	69×	body	80	valid
1.0ms	10×	body	320	valid
1.0ms	11×	body	160	valid

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	219
1	18	219
2	41	219
3	80	219
4	166	219
5	284	219
6	629	219
7	1616	219
8	3078	219
9	4008	219
10	4459	219
11	4929	219
done	5001	219

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.1b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
9.9b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
7×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `sum-log`
3×	`diff-log`
2×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

2 → 29

Calls

2 calls:

11.0ms	(+ (* x y) z)
78.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series95.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (* x y) z)
64.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify3.1s

Counts

35 → 35

Iterations

Useful iterations: 2 (157.0ms)

Iter	Nodes	Cost
0	65	9523
1	180	8551
2	737	8431
3	3022	8431
done	5005	8431

prune167.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 43.7b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x y) (* x y))
4.7b	(- (* (* x y) (* x y)) (* z z))
10.8b	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
32.9b	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

rewrite336.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
18×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
17×	`pow-prod-down`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`times-frac`
11×	`add-log-exp`
8×	`prod-exp` `cbrt-unprod`
6×	`difference-of-squares`
4×	`flip3--` `pow-sqr` `pow-prod-up` `flip--` `associate-/l*`
3×	`associate-/r*` `diff-log`
2×	`sub-neg` `pow-plus` `div-sub` `associate-/r/` `distribute-lft-out--` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `associate-+r-` `sum-log` `frac-2neg` `swap-sqr` `div-exp` `associate-r` `associate-l` `*-commutative` `div-inv` `distribute-lft-out` `associate--r+` `associate--r-`

Counts

4 → 101

Calls

4 calls:

24.0ms	(* (* x y) (* x y))
25.0ms	(- (* (* x y) (* x y)) (* z z))
218.0ms	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
64.0ms	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

series325.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (* x y) (* x y))
74.0ms	(- (* (* x y) (* x y)) (* z z))
115.0ms	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
80.0ms	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

simplify1.6s

Counts

113 → 113

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	160	34673
1	436	28051
2	1481	23891
done	5015	23651

prune743.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 43.4b

localize50.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z)))) (/ (* z z) (- (* x y) z)))
10.1b	(- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z))))
18.6b	(/ (* (* x y) (* x y)) (- (* x y) z))
23.5b	(/ (* z z) (- (* x y) z))

rewrite783.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-cbrt-cube` `add-exp-log`
22×	`*-un-lft-identity`
18×	`add-log-exp`
10×	`add-sqr-sqrt`
9×	`prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*` `times-frac`
5×	`sum-log` `distribute-lft-out`
4×	`pow1` `flip3--` `diff-log` `associate-/r/` `flip--` `distribute-lft-out--`
2×	`associate-+l+` `clear-num` `sub-neg` `frac-2neg` `frac-add` `div-inv` `associate-/l*`
1×	`+-commutative` `flip3-+` `associate-+l-` `flip-+` `associate--r+` `difference-of-squares`

Counts

4 → 90

Calls

4 calls:

616.0ms	(+ (- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z)))) (/ (* z z) (- (* x y) z)))
99.0ms	(- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z))))
48.0ms	(/ (* (* x y) (* x y)) (- (* x y) z))
15.0ms	(/ (* z z) (- (* x y) z))

series341.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(+ (- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z)))) (/ (* z z) (- (* x y) z)))
77.0ms	(- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z))))
67.0ms	(/ (* (* x y) (* x y)) (- (* x y) z))
83.0ms	(/ (* z z) (- (* x y) z))

simplify2.7s

Counts

102 → 102

Iterations

Useful iterations: 2 (947.0ms)

Iter	Nodes	Cost
0	172	35513
1	558	32094
2	2394	30934
done	5006	30934

prune679.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 43.4b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* x y))
2.1b	(+ (- (fma x y z) (+ 1.0 (* x y))) (/ (* z z) (- (* x y) z)))
9.5b	(- (fma x y z) (+ 1.0 (* x y)))
23.5b	(/ (* z z) (- (* x y) z))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
13×	`*-un-lft-identity`
9×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`sum-log` `add-cube-cbrt`
4×	`pow1` `diff-log`
3×	`associate-/r*` `times-frac` `flip3--` `flip--`
2×	`cbrt-undiv` `+-commutative` `associate-+l+` `sub-neg` `flip3-+` `div-exp` `frac-add` `associate-/r/` `flip-+` `distribute-lft-out` `distribute-lft-out--`
1×	`clear-num` `frac-2neg` `prod-exp` `associate-+l-` `cbrt-unprod` `div-inv` `associate-/l*` `associate--r+` `difference-of-squares`

Counts

4 → 70

Calls

4 calls:

8.0ms	(+ 1.0 (* x y))
97.0ms	(+ (- (fma x y z) (+ 1.0 (* x y))) (/ (* z z) (- (* x y) z)))
10.0ms	(- (fma x y z) (+ 1.0 (* x y)))
21.0ms	(/ (* z z) (- (* x y) z))

series250.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ 1.0 (* x y))
88.0ms	(+ (- (fma x y z) (+ 1.0 (* x y))) (/ (* z z) (- (* x y) z)))
55.0ms	(- (fma x y z) (+ 1.0 (* x y)))
81.0ms	(/ (* z z) (- (* x y) z))

simplify2.4s

Counts

82 → 82

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	134	24587
1	396	22040
2	1549	21800
done	5001	21720

prune541.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 43.4b

regimes571.0ms

Accuracy

0% (1.1b remaining)

Error of 44.9b against oracle of 43.8b and baseline of 44.9b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	499
1	19	499
done	19	499

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	2626×	body	1280	valid
541.0ms	1558×	body	640	valid
233.0ms	616×	body	2560	valid
198.0ms	689×	body	320	valid
147.0ms	2173×	body	80	valid
32.0ms	338×	body	160	valid