Details

sample44.0ms

Algorithm

intervals

Results

21.0ms

270×

body

valid

simplify5.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	17
1	25	17
2	39	17
3	64	17
4	114	17
5	201	17
6	403	17
7	946	17
8	2515	17
done	5001	17

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.3b	(/ (- (* y z) x) (- (* t z) x))

rewrite341.0ms

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-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `expm1-log1p-u` `div-sub` `associate-/r/` `log1p-expm1-u` `associate-/l/`
3×	`flip3--` `fma-def` `flip3-+` `prod-diff` `flip--` `flip-+`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `fma-neg` `diff-log` `sum-log`

Counts

4 → 113

Calls

4 calls:

11.0ms	(- (* y z) x)
45.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
228.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
53.0ms	(/ (- (* y z) x) (- (* t z) x))

series511.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* y z) x)
164.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
225.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
85.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify3.5s

Counts

125 → 125

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	183	2295
1	456	2175
2	1343	2039
3	4621	2030
done	5000	2030

prune499.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
2.0b	(/ y (- (* t z) x))
2.9b	(/ x (- (* t z) x))
2.9b	(fma (/ y (- (* t z) x)) z x)

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
47×	`times-frac`
32×	`add-cube-cbrt`
12×	`associate-/l*`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r/`
5×	`distribute-lft-out--`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
2×	`associate-/l/`
1×	`flip3-+` `div-sub` `flip-+` `fma-udef`

Counts

4 → 125

Calls

4 calls:

219.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
26.0ms	(/ y (- (* t z) x))
16.0ms	(/ x (- (* t z) x))
1.0ms	(fma (/ y (- (* t z) x)) z x)

series484.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
54.0ms	(/ y (- (* t z) x))
105.0ms	(/ x (- (* t z) x))
117.0ms	(fma (/ y (- (* t z) x)) z x)

simplify3.2s

Counts

137 → 137

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	215	2892
1	489	2833
2	1275	2663
3	3452	2657
done	5001	2651

prune791.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (fma (/ z x) t -1))
1.6b	(fma (/ z x) t -1)
2.0b	(/ y (- (* t z) x))
2.9b	(fma (/ y (- (* t z) x)) z x)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
10×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`associate-/r` `associate-/l`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`div-exp`
2×	`cbrt-undiv` `frac-2neg` `clear-num` `associate-/r/` `fma-udef` `div-inv`
1×	`rec-exp` `flip3--` `pow-flip` `1-exp` `flip--` `inv-pow`

Counts

4 → 84

Calls

4 calls:

12.0ms	(/ 1 (fma (/ z x) t -1))
1.0ms	(fma (/ z x) t -1)
22.0ms	(/ y (- (* t z) x))
1.0ms	(fma (/ y (- (* t z) x)) z x)

series254.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(/ 1 (fma (/ z x) t -1))
33.0ms	(fma (/ z x) t -1)
47.0ms	(/ y (- (* t z) x))
88.0ms	(fma (/ y (- (* t z) x)) z x)

simplify3.2s

Counts

96 → 96

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	138	1108
1	262	1047
2	564	956
3	1283	956
4	3443	953
done	5001	951

prune544.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

2.0b	(/ y (- (* t z) x))
2.9b	(/ x (- (* t z) x))
2.9b	(fma (/ y (- (* t z) x)) z x)
10.9b	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (- (* x x) (* 1.0 1.0)))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
47×	`times-frac`
42×	`*-un-lft-identity`
32×	`add-cube-cbrt`
17×	`difference-of-squares`
12×	`associate-/l*`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
6×	`associate-/r/`
5×	`distribute-lft-out--`
4×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
2×	`associate-/l/`
1×	`div-sub` `fma-udef`

Counts

4 → 125

Calls

4 calls:

32.0ms	(/ y (- (* t z) x))
29.0ms	(/ x (- (* t z) x))
1.0ms	(fma (/ y (- (* t z) x)) z x)
175.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (- (* x x) (* 1.0 1.0)))

series698.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ y (- (* t z) x))
121.0ms	(/ x (- (* t z) x))
110.0ms	(fma (/ y (- (* t z) x)) z x)
417.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (- (* x x) (* 1.0 1.0)))

simplify1.4s

Counts

137 → 137

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	234	3201
1	546	3153
2	1523	2963
done	5000	2955

prune756.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes205.0ms

Accuracy

23.6% (3.3b remaining)

Error of 3.5b against oracle of 0.3b and baseline of 4.5b

bsearch216.0ms

Steps

Iters	Range		Point
7	2.457824670046789e-148	3.7816928229732575e-146	1.8963790006704172e-147
8	-8.206409176281832e-90	-3.0057993265390215e-93	-3.4786509588257793e-93

simplify13.0ms

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	38	87
1	51	65
done	51	65

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.4s

8317×

body

valid