Details

sample64.0ms

Algorithm

intervals

Results

34.0ms

256×

body

valid

simplify7.2s

Counts

1 → 1

Iterations

Useful iterations: 4 (130.0ms)

Iter	Nodes	Cost
0	16	21
1	33	20
2	79	20
3	201	20
4	405	19
5	766	19
6	1278	19
7	2257	19
8	4193	19
done	5000	19

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- z b))
0.8b	(fma a (+ t y) (fma x z (* y (- z b))))
1.0b	(fma x z (* y (- z b)))
27.6b	(/ (fma a (+ t y) (fma x z (* y (- z b)))) (+ (+ x t) y))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
32×	`add-sqr-sqrt`
28×	`add-cube-cbrt`
18×	`prod-diff`
15×	`times-frac`
12×	`distribute-lft-out`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
5×	`associate-r` `associate-/r*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `associate-/l*`
2×	`sub-neg` `associate-*r/` `associate-/r/` `fma-udef`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

40.0ms	(* y (- z b))
0.0ms	(fma a (+ t y) (fma x z (* y (- z b))))
0.0ms	(fma x z (* y (- z b)))
37.0ms	(/ (fma a (+ t y) (fma x z (* y (- z b)))) (+ (+ x t) y))

series901.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* y (- z b))
155.0ms	(fma a (+ t y) (fma x z (* y (- z b))))
58.0ms	(fma x z (* y (- z b)))
638.0ms	(/ (fma a (+ t y) (fma x z (* y (- z b)))) (+ (+ x t) y))

simplify2.0s

Counts

117 → 117

Iterations

Useful iterations: 3 (889.0ms)

Iter	Nodes	Cost
0	182	2221
1	353	2023
2	892	1783
3	3629	1741
done	5000	1741

prune455.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.2b

localize48.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (cbrt z) 3)
0.8b	(fma a (+ t y) (fma x z (+ (* (- (pow (cbrt z) 3) b) y) (* (* 0 b) y))))
1.0b	(fma x z (+ (* (- (pow (cbrt z) 3) b) y) (* (* 0 b) y)))
27.6b	(/ (fma a (+ t y) (fma x z (+ (* (- (pow (cbrt z) 3) b) y) (* (* 0 b) y)))) (+ (+ x t) y))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
19×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`times-frac`
12×	`distribute-lft-out`
7×	`add-exp-log`
6×	`cbrt-prod` `unpow-prod-down` `cube-prod` `add-cbrt-cube`
5×	`pow1` `associate-/r*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-/l*`
2×	`pow-pow` `associate-/r/` `fma-udef`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `frac-2neg` `flip3-+` `pow1/3` `unpow3` `div-exp` `pow-exp` `clear-num` `flip-+` `div-inv` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 91

Calls

4 calls:

5.0ms	(pow (cbrt z) 3)
0.0ms	(fma a (+ t y) (fma x z (+ (* (- (pow (cbrt z) 3) b) y) (* (* 0 b) y))))
0.0ms	(fma x z (+ (* (- (pow (cbrt z) 3) b) y) (* (* 0 b) y)))
52.0ms	(/ (fma a (+ t y) (fma x z (+ (* (- (pow (cbrt z) 3) b) y) (* (* 0 b) y)))) (+ (+ x t) y))

series1.0s

Counts

4 → 12

Calls

4 calls:

240.0ms	(pow (cbrt z) 3)
156.0ms	(fma a (+ t y) (fma x z (+ (* (- (pow (cbrt z) 3) b) y) (* (* 0 b) y))))
57.0ms	(fma x z (+ (* (- (pow (cbrt z) 3) b) y) (* (* 0 b) y)))
555.0ms	(/ (fma a (+ t y) (fma x z (+ (* (- (pow (cbrt z) 3) b) y) (* (* 0 b) y)))) (+ (+ x t) y))

simplify1.3s

Counts

103 → 103

Iterations

Useful iterations: 3 (491.0ms)

Iter	Nodes	Cost
0	133	2480
1	291	1765
2	720	1466
3	2654	1462
done	5000	1462

prune354.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (+ x t) y) (fma a (+ t y) (fma z x (* y (- z b))))))
0.8b	(fma a (+ t y) (fma z x (* y (- z b))))
1.0b	(fma z x (* y (- z b)))
27.6b	(/ (+ (+ x t) y) (fma a (+ t y) (fma z x (* y (- z b)))))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
132×	`times-frac`
70×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`distribute-lft-out`
22×	`associate-/r*`
17×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `fma-udef` `associate-/l/`
1×	`pow-flip` `flip3-+` `associate-/r/` `flip-+` `inv-pow`

Counts

4 → 161

Calls

4 calls:

42.0ms	(/ 1 (/ (+ (+ x t) y) (fma a (+ t y) (fma z x (* y (- z b))))))
0.0ms	(fma a (+ t y) (fma z x (* y (- z b))))
0.0ms	(fma z x (* y (- z b)))
76.0ms	(/ (+ (+ x t) y) (fma a (+ t y) (fma z x (* y (- z b)))))

series972.0ms

Counts

4 → 12

Calls

4 calls:

681.0ms	(/ 1 (/ (+ (+ x t) y) (fma a (+ t y) (fma z x (* y (- z b))))))
121.0ms	(fma a (+ t y) (fma z x (* y (- z b))))
41.0ms	(fma z x (* y (- z b)))
128.0ms	(/ (+ (+ x t) y) (fma a (+ t y) (fma z x (* y (- z b)))))

simplify2.3s

Counts

173 → 173

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	190	5188
1	406	4825
2	1038	4452
3	4604	4420
done	5000	4420

prune427.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.9b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune0.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.9b

regimes658.0ms

Accuracy

45.7% (13.0b remaining)

Error of 17.4b against oracle of 4.4b and baseline of 28.3b

bsearch225.0ms

Steps

Iters	Range		Point
5	8.630523842247359e+36	2.0509613983319575e+37	1.5954454677582263e+37
6	1.5324165228386594e+26	8.009107943730944e+26	1.5463998005245015e+26
6	7.689265350021427e-22	9.073269354155488e-21	8.886742017387841e-21
9	-3.881007112409394e+127	-4.973876092969624e+118	-1.3764175112338075e+123

simplify7.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	34	69
1	42	69
done	42	69

end0.0ms

sample1.2s

Algorithm

intervals

Results

748.0ms	7997×	body	80	valid
1.0ms	3×	body	320	valid