Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 4 (46.0ms)

Iter	Nodes	Cost
0	16	21
1	33	20
2	78	20
3	154	20
4	371	19
5	707	19
6	1188	19
7	2414	19
done	5000	19

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.6b	(+ (* (+ x y) z) (* (+ t y) a))
2.2b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.2b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
15×	`times-frac`
13×	`distribute-lft-out`
11×	`add-log-exp`
10×	`associate-*l/`
8×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+`
6×	`pow1`
5×	`associate-/r*`
4×	`expm1-log1p-u` `associate-l` `frac-add` `log1p-expm1-u`
3×	`fma-neg` `associate-r` `prod-diff` `associate-/l*`
2×	`flip3--` `diff-log` `sum-log` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `fma-def` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `associate--l+` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

11.0ms	(* (+ t y) a)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
39.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
83.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series798.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (+ t y) a)
50.0ms	(+ (* (+ x y) z) (* (+ t y) a))
110.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
615.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify727.0ms

Counts

117 → 117

Iterations

Useful iterations: 2 (183.0ms)

Iter	Nodes	Cost
0	192	2540
1	583	2315
2	2335	2102
done	5001	2102

prune442.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 10.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ x t) y))
1.6b	(+ (* (+ x y) z) (* (+ t y) a))
2.2b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.2b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
32×	`times-frac`
26×	`add-cube-cbrt`
21×	`associate-r` `distribute-lft-out`
17×	`add-exp-log`
11×	`add-cbrt-cube` `add-log-exp`
10×	`associate-*l/`
7×	`pow1` `flip3-+` `flip-+`
5×	`associate-/r*`
4×	`expm1-log1p-u` `div-exp` `frac-add` `prod-exp` `associate-/r/` `log1p-expm1-u`
3×	`flip3--` `fma-neg` `associate-l` `prod-diff` `flip--` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `diff-log` `1-exp` `sum-log` `cbrt-unprod` `div-inv`
1×	`+-commutative` `sub-neg` `pow-flip` `fma-def` `frac-2neg` `associate-r/` `pow-prod-down` `associate--l+` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 133

Calls

4 calls:

18.0ms	(/ 1 (+ (+ x t) y))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
41.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
136.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series845.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ 1 (+ (+ x t) y))
55.0ms	(+ (* (+ x y) z) (* (+ t y) a))
105.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
629.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify887.0ms

Counts

145 → 145

Iterations

Useful iterations: 2 (204.0ms)

Iter	Nodes	Cost
0	207	2953
1	627	2597
2	2531	2268
done	5000	2268

prune442.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 10.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt 1) (+ (+ x t) y))
0.3b	(fma (+ x y) z (fma t a (* y (- a b))))
1.5b	(fma t a (* y (- a b)))
26.2b	(* (fma (+ x y) z (fma t a (* y (- a b)))) (/ (sqrt 1) (+ (+ x t) y)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

107×	`*-un-lft-identity`
63×	`times-frac`
51×	`add-sqr-sqrt`
41×	`add-cube-cbrt`
39×	`distribute-lft-out`
36×	`associate-r`
35×	`sqrt-prod`
11×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `associate-/l*`
5×	`associate-/r*`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-l`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `fma-udef` `div-inv`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

4 → 136

Calls

4 calls:

19.0ms	(/ (sqrt 1) (+ (+ x t) y))
0.0ms	(fma (+ x y) z (fma t a (* y (- a b))))
0.0ms	(fma t a (* y (- a b)))
50.0ms	(* (fma (+ x y) z (fma t a (* y (- a b)))) (/ (sqrt 1) (+ (+ x t) y)))

series815.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(/ (sqrt 1) (+ (+ x t) y))
107.0ms	(fma (+ x y) z (fma t a (* y (- a b))))
33.0ms	(fma t a (* y (- a b)))
614.0ms	(* (fma (+ x y) z (fma t a (* y (- a b)))) (/ (sqrt 1) (+ (+ x t) y)))

simplify3.9s

Counts

148 → 148

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	149	2759
1	329	2463
2	1291	2076
3	4127	2046
done	5001	2046

prune402.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 10.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (+ x t) y) (fma z (+ x y) (fma t a (* y (- a b))))))
0.3b	(fma z (+ x y) (fma t a (* y (- a b))))
1.5b	(fma t a (* y (- a b)))
26.2b	(/ (+ (+ x t) y) (fma z (+ x y) (fma t a (* y (- a b)))))

rewrite67.0ms

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:

22.0ms	(/ 1 (/ (+ (+ x t) y) (fma z (+ x y) (fma t a (* y (- a b))))))
0.0ms	(fma z (+ x y) (fma t a (* y (- a b))))
0.0ms	(fma t a (* y (- a b)))
37.0ms	(/ (+ (+ x t) y) (fma z (+ x y) (fma t a (* y (- a b)))))

series891.0ms

Counts

4 → 12

Calls

4 calls:

635.0ms	(/ 1 (/ (+ (+ x t) y) (fma z (+ x y) (fma t a (* y (- a b))))))
109.0ms	(fma z (+ x y) (fma t a (* y (- a b))))
39.0ms	(fma t a (* y (- a b)))
107.0ms	(/ (+ (+ x t) y) (fma z (+ x y) (fma t a (* y (- a b)))))

simplify1.1s

Counts

173 → 173

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	190	5188
1	432	4893
2	1501	4452
done	5000	4421

prune372.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.0b

regimes631.0ms

Accuracy

85.1% (3.4b remaining)

Error of 7.9b against oracle of 4.6b and baseline of 27.1b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	24	79
1	36	75
done	36	75

end0.0ms

sample630.0ms

Algorithm

intervals

Results

358.0ms	7995×	body	80	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid