Details

sample41.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify16.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.8b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite76.0ms

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:

25.0ms	(* 1.1283791670955126 (exp z))
23.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
25.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series253.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(* 1.1283791670955126 (exp z))
87.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
144.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify3.4s

Counts

68 → 68

Iterations

Useful iterations: 3 (1.3s)

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

prune289.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 2.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.7b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite128.0ms

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:

19.0ms	(* 1.1283791670955126 (exp z))
42.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
20.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
42.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series321.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* 1.1283791670955126 (exp z))
106.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
80.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
105.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify1.8s

Counts

148 → 148

Iterations

Useful iterations: done (1.8s)

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

prune496.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 92

Calls

3 calls:

8.0ms	(/ (exp z) y)
59.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
32.0ms	(* 1.1283791670955126 (/ (exp z) y))

series134.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ (exp z) y)
89.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
26.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify1.0s

Counts

101 → 101

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	168	1156
1	394	1074
2	1489	997
done	5000	988

prune379.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp z) 1.1283791670955126)
0.8b	(- (* (exp z) 1.1283791670955126) (* x y))
8.8b	(/ y (- (* (exp z) 1.1283791670955126) (* x y)))

rewrite79.0ms

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:

26.0ms	(* (exp z) 1.1283791670955126)
13.0ms	(- (* (exp z) 1.1283791670955126) (* x y))
36.0ms	(/ y (- (* (exp z) 1.1283791670955126) (* x y)))

series221.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (exp z) 1.1283791670955126)
81.0ms	(- (* (exp z) 1.1283791670955126) (* x y))
111.0ms	(/ y (- (* (exp z) 1.1283791670955126) (* x y)))

simplify1.2s

Counts

68 → 68

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	121	886
1	285	861
2	1125	794
done	5001	790

prune217.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	15	12
done	15	12

end0.0ms

sample1.0s

Algorithm

intervals

Results

643.0ms

8000×

body

valid