Details

sample38.0ms

Algorithm

intervals

Results

20.0ms

415×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 7 (810.0ms)

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.1b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (/ (- (* x x) (* z z)) y))
1.0b	(- (* x x) (* z z))
12.0b	(/ (- (* x x) (* z z)) y)

rewrite67.0ms

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:

30.0ms	(+ y (/ (- (* x x) (* z z)) y))
10.0ms	(- (* x x) (* z z))
25.0ms	(/ (- (* x x) (* z z)) y)

series185.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(+ y (/ (- (* x x) (* z z)) y))
53.0ms	(- (* x x) (* z z))
71.0ms	(/ (- (* x x) (* z z)) y)

simplify1.0s

Counts

69 → 69

Iterations

Useful iterations: 2 (256.0ms)

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

prune184.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize13.0ms

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)))

rewrite108.0ms

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:

56.0ms	(+ y (/ (+ x z) (/ y (- x z))))
11.0ms	(/ y (- x z))
30.0ms	(/ (+ x z) (/ y (- x z)))

series166.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(+ y (/ (+ x z) (/ y (- x z))))
37.0ms	(/ y (- x z))
61.0ms	(/ (+ x z) (/ y (- x z)))

simplify1.7s

Counts

184 → 184

Iterations

Useful iterations: done (1.7s)

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

prune650.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*` `add-log-exp`
4×	`associate-l`
3×	`flip3-+` `associate-/r*` `flip-+`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `distribute-lft-out`

Counts

3 → 92

Calls

3 calls:

25.0ms	(/ (- x z) y)
7.0ms	(+ y (* (+ x z) (/ (- x z) y)))
54.0ms	(* (+ x z) (/ (- x z) y))

series198.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ (- x z) y)
72.0ms	(+ y (* (+ x z) (/ (- x z) y)))
94.0ms	(* (+ x z) (/ (- x z) y))

simplify2.0s

Counts

101 → 101

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	149	1254
1	410	1179
2	2640	1103
done	5001	1097

prune347.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
21×	`add-sqr-sqrt`
20×	`frac-times`
17×	`*-un-lft-identity` `add-cbrt-cube`
14×	`associate-r`
13×	`prod-exp`
12×	`add-cube-cbrt`
11×	`times-frac`
10×	`pow1` `associate-r/` `associate-l/`
9×	`associate-l`
8×	`flip3--` `flip3-+` `flip--` `flip-+`
7×	`cbrt-unprod`
5×	`add-log-exp`
4×	`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 → 96

Calls

3 calls:

9.0ms	(+ y (* (+ x z) (* (- x z) (/ 1 y))))
73.0ms	(* (+ x z) (* (- x z) (/ 1 y)))
30.0ms	(* (- x z) (/ 1 y))

series184.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ y (* (+ x z) (* (- x z) (/ 1 y))))
73.0ms	(* (+ x z) (* (- x z) (/ 1 y)))
38.0ms	(* (- x z) (/ 1 y))

simplify6.7s

Counts

105 → 105

Iterations

Useful iterations: 2 (888.0ms)

Iter	Nodes	Cost
0	180	1624
1	535	1480
2	4479	1209
done	5000	1209

prune316.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes85.0ms

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 (0.0ms)

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

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.2s

13569×

body

valid