Details

sample70.0ms

Algorithm

intervals

Results

36.0ms

433×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 7 (1.4s)

Iter	Nodes	Cost
0	11	15
1	22	15
2	55	15
3	101	15
4	182	15
5	346	15
6	898	15
7	3961	13
done	5000	13

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (/ (- (* x x) (* z z)) y))
1.8b	(- (* x x) (* z z))
13.8b	(/ (- (* x x) (* z z)) y)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
4×	`associate-/l*`
3×	`pow1` `associate-/r*`
2×	`flip3--` `div-sub` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 60

Calls

3 calls:

36.0ms	(+ y (/ (- (* x x) (* z z)) y))
15.0ms	(- (* x x) (* z z))
45.0ms	(/ (- (* x x) (* z z)) y)

series219.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ y (/ (- (* x x) (* z z)) y))
53.0ms	(- (* x x) (* z z))
92.0ms	(/ (- (* x x) (* z z)) y)

simplify1.4s

Counts

69 → 69

Iterations

Useful iterations: 2 (272.0ms)

Iter	Nodes	Cost
0	110	1000
1	309	949
2	1396	877
done	5001	877

prune502.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (/ (+ x z) (/ y (- x z))))
0.0b	(/ y (- x z))
0.2b	(/ (+ x z) (/ y (- x z)))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac`
164×	`*-un-lft-identity`
118×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
26×	`associate-/r*`
23×	`distribute-lft-out`
19×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv` `associate-/l*`
6×	`flip3--` `flip--`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

3 → 175

Calls

3 calls:

123.0ms	(+ y (/ (+ x z) (/ y (- x z))))
30.0ms	(/ y (- x z))
59.0ms	(/ (+ x z) (/ y (- x z)))

series230.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(+ y (/ (+ x z) (/ y (- x z))))
62.0ms	(/ y (- x z))
91.0ms	(/ (+ x z) (/ y (- x z)))

simplify2.5s

Counts

184 → 184

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	247	3119
1	663	2930
2	3837	2806
done	5001	2794

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (* (/ (+ z x) y) (- x z)))
0.0b	(/ (+ z x) y)
0.2b	(* (/ (+ z x) y) (- x z))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
25×	`times-frac`
21×	`add-cube-cbrt`
16×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
5×	`pow1` `associate-r` `add-log-exp`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `associate-/l*`
3×	`associate-/r*`
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` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 93

Calls

3 calls:

16.0ms	(+ y (* (/ (+ z x) y) (- x z)))
39.0ms	(/ (+ z x) y)
87.0ms	(* (/ (+ z x) y) (- x z))

series207.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(+ y (* (/ (+ z x) y) (- x z)))
36.0ms	(/ (+ z x) y)
95.0ms	(* (/ (+ z x) y) (- x z))

simplify2.0s

Counts

102 → 102

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	150	1244
1	408	1189
2	2161	1119
done	5002	1113

prune665.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (* (* (+ z x) (/ 1 y)) (- x z)))
0.2b	(* (* (+ z x) (/ 1 y)) (- x z))
0.3b	(* (+ z x) (/ 1 y))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 104

Calls

3 calls:

16.0ms	(+ y (* (* (+ z x) (/ 1 y)) (- x z)))
107.0ms	(* (* (+ z x) (/ 1 y)) (- x z))
70.0ms	(* (+ z x) (/ 1 y))

series184.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(+ y (* (* (+ z x) (/ 1 y)) (- x z)))
85.0ms	(* (* (+ z x) (/ 1 y)) (- x z))
33.0ms	(* (+ z x) (/ 1 y))

simplify5.2s

Counts

113 → 113

Iterations

Useful iterations: 2 (857.0ms)

Iter	Nodes	Cost
0	194	1749
1	605	1601
2	4269	1304
done	5001	1304

prune685.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes456.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	13
1	12	13
done	12	13

end0.0ms

sample2.8s

Algorithm

intervals

Results

2.0s

13597×

body

valid