Details

sample30.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	15	12
2	22	12
done	22	12

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `add-log-exp`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

18.0ms	(* 1.1283791670955126 (exp z))
22.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
26.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series214.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(* 1.1283791670955126 (exp z))
83.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
110.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.8s

Counts

68 → 68

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	119	886
1	281	858
2	966	792
3	4968	786
done	5000	786

prune324.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.4b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
56×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log`
16×	`associate-/r*`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv`
3×	`associate-r` `associate-l`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 136

Calls

4 calls:

11.0ms	(* 1.1283791670955126 (exp z))
26.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
12.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
43.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series257.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
78.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
79.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
82.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify1.4s

Counts

148 → 148

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	223	2616
1	581	2379
2	2697	2249
done	5001	2049

prune564.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.1283791670955126 (/ (exp z) y)) x)
0.0b	(/ (exp z) y)
0.1b	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
0.1b	(* 1.1283791670955126 (/ (exp z) y))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`add-exp-log` `associate-r` `add-cbrt-cube`
7×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`div-exp`
3×	`cbrt-undiv` `associate-l` `div-inv`
2×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `associate-/r/` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `associate-r/` `pow-prod-down` `-commutative` `inv-pow`

Counts

4 → 104

Calls

4 calls:

22.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
7.0ms	(/ (exp z) y)
33.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
28.0ms	(* 1.1283791670955126 (/ (exp z) y))

series166.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
19.0ms	(/ (exp z) y)
73.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
24.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify1.1s

Counts

116 → 116

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	176	1358
1	409	1273
2	1566	1178
done	5000	1163

prune430.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.0b	(- (* (* 1.1283791670955126 (exp z)) (/ 1 y)) x)
0.1b	(/ 1 (- (* (* 1.1283791670955126 (exp z)) (/ 1 y)) x))
0.1b	(* (* 1.1283791670955126 (exp z)) (/ 1 y))

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-cbrt-cube`
18×	`times-frac`
16×	`associate-r`
13×	`prod-exp`
12×	`pow1`
7×	`cbrt-unprod`
6×	`div-exp` `add-log-exp`
4×	`associate-l` `pow-prod-down`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `*-commutative` `flip--` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-*r/` `clear-num` `un-div-inv` `inv-pow` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
52.0ms	(- (* (* 1.1283791670955126 (exp z)) (/ 1 y)) x)
100.0ms	(/ 1 (- (* (* 1.1283791670955126 (exp z)) (/ 1 y)) x))
59.0ms	(* (* 1.1283791670955126 (exp z)) (/ 1 y))

series205.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* 1.1283791670955126 (exp z))
55.0ms	(- (* (* 1.1283791670955126 (exp z)) (/ 1 y)) x)
96.0ms	(/ 1 (- (* (* 1.1283791670955126 (exp z)) (/ 1 y)) x))
31.0ms	(* (* 1.1283791670955126 (exp z)) (/ 1 y))

simplify2.2s

Counts

113 → 113

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	183	1507
1	483	1373
2	2553	1085
done	5000	1075

prune349.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes194.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	17	14
done	17	14

end0.0ms

sample962.0ms

Algorithm

intervals

Results

594.0ms

8000×

body

valid