Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
2	22
1	15
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize14.0ms

Local error

Found 2 expressions with local error:

0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
9.2b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 41

Calls

2 calls:

9.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
16.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series239.0ms

Counts

2 → 6

Calls

2 calls:

104.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
135.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.5s

Counts

47 → 47

Iterations

Iter	Nodes
done	5001
3	4221
2	805
1	234
0	96

prune351.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.9b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
3.7b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y))
5.7b	(/ (* (cbrt y) (cbrt y)) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 129

Calls

4 calls:

1.0ms	(cbrt y)
9.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
46.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y))
32.0ms	(/ (* (cbrt y) (cbrt y)) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y)))

series845.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(cbrt y)
111.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
284.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y))
159.0ms	(/ (* (cbrt y) (cbrt y)) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y)))

simplify1.0s

Counts

141 → 141

Iterations

Iter	Nodes
done	5001
1	672
0	228

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.6b

localize68.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
9.2b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
9.2b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
9.2b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
35×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
15×	`cbrt-prod`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r` `associate-/l`
8×	`associate-/r/`
4×	`pow1` `flip3--` `div-inv` `flip--` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`cbrt-div` `pow1/3`

Counts

4 → 111

Calls

4 calls:

18.0ms	(cbrt (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
30.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
39.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
30.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series755.0ms

Counts

4 → 12

Calls

4 calls:

376.0ms	(cbrt (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
128.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
121.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
129.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify1.4s

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	1547
1	431
0	182

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.6b

localize35.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
9.4b	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

37.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
18.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
87.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

series379.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
106.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
171.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify1.9s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	1681
1	382
0	144

prune575.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.6b

regimes535.0ms

Accuracy

50.2% (0.8b remaining)

Error of 1.9b against oracle of 1.1b and baseline of 2.7b

bsearch3.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	37
1	37
0	27

end0.0ms

sample772.0ms

Algorithm

intervals

Results

544.0ms

8000×

body

valid