Details

sample33.0ms

Algorithm

intervals

Results

16.0ms

440×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	11	15
1	23	14
2	59	14
3	109	14
4	202	14
5	363	14
6	824	14
7	1874	13
done	5000	12

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x z) y)
0.1b	(fma (/ (+ x z) y) (- x z) y)
0.2b	(/ (fma (/ (+ x z) y) (- x z) y) 2.0)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
21×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
6×	`associate-/r*`
4×	`distribute-lft-out`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`
1×	`flip3-+` `flip-+` `fma-udef`

Counts

3 → 74

Calls

3 calls:

20.0ms	(/ (+ x z) y)
0.0ms	(fma (/ (+ x z) y) (- x z) y)
5.0ms	(/ (fma (/ (+ x z) y) (- x z) y) 2.0)

series169.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ (+ x z) y)
65.0ms	(fma (/ (+ x z) y) (- x z) y)
81.0ms	(/ (fma (/ (+ x z) y) (- x z) y) 2.0)

simplify2.5s

Counts

83 → 83

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	130	1164
1	256	1135
2	651	1041
3	1619	1041
4	4756	1035
done	5000	1035

prune242.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (/ z y))
0.1b	(fma (+ (/ x y) (/ z y)) (- x z) y)
0.2b	(/ (fma (+ (/ x y) (/ z y)) (- x z) y) 2.0)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
24×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`fma-def`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`div-inv` `distribute-lft-out`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-out` `frac-2neg` `flip3-+` `div-exp` `frac-add` `clear-num` `sum-log` `flip-+` `fma-udef`

Counts

3 → 71

Calls

3 calls:

29.0ms	(+ (/ x y) (/ z y))
0.0ms	(fma (+ (/ x y) (/ z y)) (- x z) y)
6.0ms	(/ (fma (+ (/ x y) (/ z y)) (- x z) y) 2.0)

series180.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (/ x y) (/ z y))
69.0ms	(fma (+ (/ x y) (/ z y)) (- x z) y)
89.0ms	(/ (fma (+ (/ x y) (/ z y)) (- x z) y) 2.0)

simplify1.0s

Counts

80 → 80

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	111	1147
1	239	1125
2	599	1024
3	1610	1018
done	5000	1016

prune257.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma (* (+ x z) (/ 1 y)) (- x z) y)
0.2b	(/ (fma (* (+ x z) (/ 1 y)) (- x z) y) 2.0)
0.3b	(* (+ x z) (/ 1 y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
20×	`times-frac`
19×	`add-cube-cbrt`
14×	`add-exp-log`
13×	`associate-r`
10×	`add-cbrt-cube`
5×	`pow1`
4×	`associate-l` `prod-exp`
3×	`expm1-log1p-u` `div-exp` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `flip3-+` `associate-*l/` `cbrt-unprod` `flip-+` `div-inv`
1×	`rec-exp` `frac-2neg` `1-exp` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `distribute-lft-out`

Counts

3 → 82

Calls

3 calls:

0.0ms	(fma (* (+ x z) (/ 1 y)) (- x z) y)
5.0ms	(/ (fma (* (+ x z) (/ 1 y)) (- x z) y) 2.0)
32.0ms	(* (+ x z) (/ 1 y))

series168.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(fma (* (+ x z) (/ 1 y)) (- x z) y)
83.0ms	(/ (fma (* (+ x z) (/ 1 y)) (- x z) y) 2.0)
27.0ms	(* (+ x z) (/ 1 y))

simplify2.0s

Counts

91 → 91

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	162	1399
1	362	1170
2	1025	1028
3	3389	1022
done	5000	1022

prune256.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ x z))
0.1b	(fma (/ 1 (/ y (+ x z))) (- x z) y)
0.2b	(/ (fma (/ 1 (/ y (+ x z))) (- x z) y) 2.0)
0.2b	(/ 1 (/ y (+ x z)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

123×	`times-frac`
104×	`*-un-lft-identity`
72×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/r*`
19×	`add-exp-log`
16×	`distribute-lft-out`
13×	`add-cbrt-cube`
11×	`associate-/r/`
9×	`div-exp` `associate-/l*`
7×	`div-inv`
5×	`pow1` `cbrt-undiv` `flip3-+` `flip-+`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `1-exp`
1×	`pow-flip` `fma-udef` `inv-pow`

Counts

4 → 172

Calls

4 calls:

15.0ms	(/ y (+ x z))
0.0ms	(fma (/ 1 (/ y (+ x z))) (- x z) y)
5.0ms	(/ (fma (/ 1 (/ y (+ x z))) (- x z) y) 2.0)
18.0ms	(/ 1 (/ y (+ x z)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ y (+ x z))
61.0ms	(fma (/ 1 (/ y (+ x z))) (- x z) y)
86.0ms	(/ (fma (/ 1 (/ y (+ x z))) (- x z) y) 2.0)
31.0ms	(/ 1 (/ y (+ x z)))

simplify2.0s

Counts

184 → 184

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	246	2740
1	503	2427
2	1114	2058
3	3109	2008
done	5001	2008

prune370.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.3b

regimes202.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	13	13
done	13	13

end0.0ms

sample842.0ms

Algorithm

intervals

Results

449.0ms

13672×

body

valid