Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	12
1	16	12
2	24	12
3	28	12
done	28	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.2b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `fma-def` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 64

Calls

3 calls:

18.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series165.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
58.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
72.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.4s

Counts

73 → 73

Iterations

Useful iterations: 3 (410.0ms)

Iter	Nodes	Cost
0	128	1105
1	316	1048
2	1025	982
3	4252	973
done	5000	973

prune205.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
18×	`times-frac`
16×	`add-cube-cbrt`
11×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`associate-/r*`
5×	`add-log-exp`
4×	`pow1` `div-exp` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
3×	`cbrt-undiv` `expm1-log1p-u` `fma-def` `log1p-expm1-u` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/r/` `distribute-lft-out`
1×	`+-commutative` `rec-exp` `flip3--` `pow-flip` `flip3-+` `1-exp` `prod-exp` `sum-log` `flip--` `cbrt-unprod` `flip-+` `inv-pow`

Counts

3 → 84

Calls

3 calls:

28.0ms	(+ x (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
8.0ms	(/ (* 1.1283791670955126 (exp z)) y)
16.0ms	(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))

series123.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ x (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
20.0ms	(/ (* 1.1283791670955126 (exp z)) y)
64.0ms	(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))

simplify688.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (135.0ms)

Iter	Nodes	Cost
0	165	1286
1	396	1172
2	1560	1087
done	5000	1087

prune192.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* 1 (/ y (fma x (- y) (* 1.1283791670955126 (exp z))))))
6.2b	(/ y (fma x (- y) (* 1.1283791670955126 (exp z))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 46

Calls

2 calls:

2.0ms	(+ x (* 1 (/ y (fma x (- y) (* 1.1283791670955126 (exp z))))))
2.0ms	(/ y (fma x (- y) (* 1.1283791670955126 (exp z))))

series103.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ x (* 1 (/ y (fma x (- y) (* 1.1283791670955126 (exp z))))))
65.0ms	(/ y (fma x (- y) (* 1.1283791670955126 (exp z))))

simplify2.4s

Counts

52 → 52

Iterations

Useful iterations: 3 (410.0ms)

Iter	Nodes	Cost
0	103	877
1	234	792
2	792	744
3	4018	742
done	5000	742

prune155.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3)
0.1b	(* 1.1283791670955126 (/ (exp z) y))
0.5b	(/ 1 (pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3))
26.2b	(cbrt (/ 1 (pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

82×	`times-frac`
67×	`add-sqr-sqrt`
62×	`add-cube-cbrt` `*-un-lft-identity`
42×	`cbrt-prod`
24×	`unpow-prod-down` `cube-prod`
18×	`add-exp-log`
13×	`associate-r`
12×	`associate-/r*` `add-cbrt-cube`
8×	`cube-mult` `unpow3` `sqr-pow`
7×	`pow1` `div-exp`
6×	`cube-div`
4×	`expm1-log1p-u` `pow-to-exp` `pow-exp` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `pow-unpow` `flip3--` `1-exp` `associate-l` `flip--` `div-inv` `associate-/l*`
2×	`cbrt-undiv` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-div` `pow-flip` `pow-pow` `frac-2neg` `pow1/3` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `inv-pow` `rem-cube-cbrt`

Counts

4 → 191

Calls

4 calls:

11.0ms	(pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3)
10.0ms	(* 1.1283791670955126 (/ (exp z) y))
24.0ms	(/ 1 (pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3))
14.0ms	(cbrt (/ 1 (pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3)
20.0ms	(* 1.1283791670955126 (/ (exp z) y))
122.0ms	(/ 1 (pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3))
63.0ms	(cbrt (/ 1 (pow (- (* 1.1283791670955126 (/ (exp z) y)) x) 3)))

simplify1.7s

Counts

203 → 203

Iterations

Useful iterations: 2 (286.0ms)

Iter	Nodes	Cost
0	309	4112
1	674	3588
2	2942	3154
done	5000	3154

prune394.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes92.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample435.0ms

Algorithm

intervals

Results

253.0ms

8000×

body

valid