Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	28
3	28
2	24
1	16
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize15.0ms

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)))

rewrite34.0ms

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×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `log1p-expm1-u` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-exp` `prod-diff` `div-inv`

Counts

2 → 47

Calls

2 calls:

17.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
16.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series161.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
87.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify1.9s

Counts

53 → 53

Iterations

Iter	Nodes
done	5000
3	4192
2	894
1	257
0	104

prune367.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.9b

localize46.0ms

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)))

rewrite79.0ms

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×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `div-inv` `associate-/l*`
2×	`clear-num` `frac-2neg` `flip3--` `prod-exp` `cbrt-unprod` `flip--` `associate-/l/`
1×	`sub-neg` `fma-neg` `pow1/3` `diff-log` `div-sub` `prod-diff` `associate-/r/`

Counts

4 → 139

Calls

4 calls:

1.0ms	(cbrt y)
9.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
22.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y))
43.0ms	(/ (* (cbrt y) (cbrt y)) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y)))

series947.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(cbrt y)
73.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
223.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y))
433.0ms	(/ (* (cbrt y) (cbrt y)) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y)))

simplify958.0ms

Counts

151 → 151

Iterations

Iter	Nodes
done	5001
1	698
0	241

prune973.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.6b

localize42.0ms

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)))

rewrite71.0ms

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×	`expm1-log1p-u` `pow1` `flip3--` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`cbrt-div` `pow1/3`

Counts

4 → 119

Calls

4 calls:

9.0ms	(cbrt (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
14.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
19.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
26.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series525.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(cbrt (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
80.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
89.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
100.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify1.5s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	1632
1	448
0	186

prune1.2s

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))))

rewrite134.0ms

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×	`expm1-log1p-u` `associate-/r` `flip3--` `associate-l` `log1p-expm1-u` `flip--` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 91

Calls

3 calls:

31.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
18.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
82.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

series229.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
71.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
81.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify1.2s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1744
1	410
0	155

prune604.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.6b

regimes527.0ms

Accuracy

51.2% (0.8b remaining)

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

bsearch2.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	37
1	37
0	27

end0.0ms

sample797.0ms

Algorithm

intervals

Results

546.0ms

8000×

body

valid