Details

sample65.0ms

Algorithm

intervals

Results

40.0ms

418×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: done (3.8s)

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

22.0ms	(/ (+ x z) y)
1.0ms	(fma (/ (+ x z) y) (- x z) y)

series111.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (+ x z) y)
74.0ms	(fma (/ (+ x z) y) (- x z) y)

simplify3.3s

Counts

51 → 51

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	82	534
1	165	520
2	420	480
3	1029	480
4	2996	477
done	5001	477

prune197.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ (+ x z) y) (- x z)) y)
0.0b	(/ (+ x z) y)
0.3b	(* (/ (+ x z) y) (- x z))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
45×	`add-cube-cbrt`
36×	`prod-diff`
25×	`times-frac`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
16×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
5×	`pow1` `associate-r` `add-log-exp`
4×	`sub-neg` `associate-/l*`
3×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-times` `flip3--` `flip3-+` `associate-*r/` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 136

Calls

3 calls:

30.0ms	(+ (* (/ (+ x z) y) (- x z)) y)
28.0ms	(/ (+ x z) y)
64.0ms	(* (/ (+ x z) y) (- x z))

series180.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ (* (/ (+ x z) y) (- x z)) y)
31.0ms	(/ (+ x z) y)
90.0ms	(* (/ (+ x z) y) (- x z))

simplify1.3s

Counts

145 → 145

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	207	2294
1	521	1944
2	1530	1729
done	5000	1697

prune403.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (+ x z) (/ 1 y)) (- x z)) y)
0.3b	(* (* (+ x z) (/ 1 y)) (- x z))
0.3b	(* (+ x z) (/ 1 y))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
36×	`add-cube-cbrt` `prod-diff`
27×	`add-exp-log`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
20×	`frac-times`
18×	`associate-r`
17×	`add-cbrt-cube`
14×	`associate-*l/`
13×	`prod-exp`
11×	`times-frac`
10×	`pow1`
9×	`flip3-+` `flip-+`
7×	`flip3--` `flip--` `cbrt-unprod`
6×	`associate-*r/`
5×	`associate-l` `add-log-exp`
4×	`sub-neg` `div-exp` `pow-prod-down` `un-div-inv`
3×	`expm1-log1p-u` `log1p-expm1-u` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative`
1×	`+-commutative` `fma-def` `sum-log` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 147

Calls

3 calls:

56.0ms	(+ (* (* (+ x z) (/ 1 y)) (- x z)) y)
64.0ms	(* (* (+ x z) (/ 1 y)) (- x z))
36.0ms	(* (+ x z) (/ 1 y))

series136.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(+ (* (* (+ x z) (/ 1 y)) (- x z)) y)
54.0ms	(* (* (+ x z) (/ 1 y)) (- x z))
23.0ms	(* (+ x z) (/ 1 y))

simplify1.9s

Counts

156 → 156

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	250	2919
1	694	2182
2	2509	1911
done	5000	1887

prune538.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (- (pow (cbrt x) 3) z))
0.2b	(/ (+ x z) (/ y (- (pow (cbrt x) 3) z)))
0.7b	(cbrt x)
0.7b	(pow (cbrt x) 3)

rewrite569.0ms

Algorithm

rewrite-expression-head

Rules

341×	`add-sqr-sqrt`
324×	`times-frac`
244×	`*-un-lft-identity`
132×	`add-cube-cbrt`
114×	`difference-of-squares`
47×	`cbrt-prod`
46×	`associate-/r*`
44×	`unpow-prod-down` `cube-prod`
37×	`distribute-lft-out`
20×	`sqr-pow`
19×	`distribute-lft-out--`
13×	`associate-/r/`
12×	`add-exp-log`
11×	`add-cbrt-cube`
7×	`div-inv` `associate-/l*`
6×	`flip3--` `flip--`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow` `frac-2neg` `pow1/3` `clear-num` `associate-/l/`
1×	`cube-mult` `pow-to-exp` `flip3-+` `unpow3` `pow-exp` `flip-+` `rem-cube-cbrt`

Counts

4 → 307

Calls

4 calls:

71.0ms	(/ y (- (pow (cbrt x) 3) z))
455.0ms	(/ (+ x z) (/ y (- (pow (cbrt x) 3) z)))
1.0ms	(cbrt x)
4.0ms	(pow (cbrt x) 3)

series837.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(/ y (- (pow (cbrt x) 3) z))
98.0ms	(/ (+ x z) (/ y (- (pow (cbrt x) 3) z)))
245.0ms	(cbrt x)
428.0ms	(pow (cbrt x) 3)

simplify2.7s

Counts

319 → 319

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	375	6547
1	782	5106
2	2809	4947
done	5001	4910

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	17	26
1	22	24
done	22	24

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.2s

13572×

body

valid