Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.9b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

57.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
24.0ms	(* 1.1283791670955126 (exp z))
17.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
20.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
26.0ms	(* 1.1283791670955126 (exp z))
80.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
111.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.7s

Counts

96 → 96

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	153	1249
1	357	1179
2	925	1105
3	2252	1104
done	5000	1085

prune435.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

7.0ms	(/ (exp z) y)
11.0ms	(+ x (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x))))
0.0ms	(fma (/ (exp z) y) 1.1283791670955126 (- x))
11.0ms	(/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x)))

series264.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ (exp z) y)
87.0ms	(+ x (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x))))
76.0ms	(fma (/ (exp z) y) 1.1283791670955126 (- x))
78.0ms	(/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x)))

simplify2.8s

Counts

102 → 102

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	162	1279
1	334	1182
2	729	1102
3	1568	1096
4	3987	1093
done	5000	1092

prune259.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (exp z) y) 1.1283791670955126 (- x))
0.1b	(/ 1 (cbrt (pow (fma (/ (exp z) y) 1.1283791670955126 (- x)) 3)))
0.1b	(pow (fma (/ (exp z) y) 1.1283791670955126 (- x)) 3)
26.1b	(cbrt (pow (fma (/ (exp z) y) 1.1283791670955126 (- x)) 3))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-prod`
45×	`times-frac`
42×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`unpow-prod-down` `cube-prod`
15×	`associate-/r*`
9×	`add-exp-log`
6×	`pow1` `cube-mult` `unpow3` `add-cbrt-cube` `sqr-pow`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-/l*`
2×	`pow-flip` `pow1/3` `div-exp`
1×	`cbrt-undiv` `pow-to-exp` `rec-exp` `pow-pow` `frac-2neg` `1-exp` `pow-exp` `clear-num` `rem-cbrt-cube` `fma-udef` `div-inv` `inv-pow` `rem-cube-cbrt`

Counts

4 → 140

Calls

4 calls:

0.0ms	(fma (/ (exp z) y) 1.1283791670955126 (- x))
23.0ms	(/ 1 (cbrt (pow (fma (/ (exp z) y) 1.1283791670955126 (- x)) 3)))
3.0ms	(pow (fma (/ (exp z) y) 1.1283791670955126 (- x)) 3)
2.0ms	(cbrt (pow (fma (/ (exp z) y) 1.1283791670955126 (- x)) 3))

series361.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(fma (/ (exp z) y) 1.1283791670955126 (- x))
113.0ms	(/ 1 (cbrt (pow (fma (/ (exp z) y) 1.1283791670955126 (- x)) 3)))
114.0ms	(pow (fma (/ (exp z) y) 1.1283791670955126 (- x)) 3)
66.0ms	(cbrt (pow (fma (/ (exp z) y) 1.1283791670955126 (- x)) 3))

simplify4.1s

Counts

152 → 152

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	192	3071
1	361	2409
2	914	2127
3	4681	2101
done	5000	2101

prune351.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (sqrt (fma 1.1283791670955126 (/ (exp z) y) (- x))))
0.1b	(/ (/ 1 (sqrt (fma 1.1283791670955126 (/ (exp z) y) (- x)))) (cbrt (pow (sqrt (fma (/ (exp z) y) 1.1283791670955126 (- x))) 3)))
0.2b	(pow (sqrt (fma (/ (exp z) y) 1.1283791670955126 (- x))) 3)
5.4b	(cbrt (pow (sqrt (fma (/ (exp z) y) 1.1283791670955126 (- x))) 3))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

876×	`times-frac`
453×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
432×	`cbrt-prod`
360×	`sqrt-prod`
150×	`unpow-prod-down` `cube-prod`
27×	`associate-/r*`
25×	`cube-mult` `unpow3` `associate-/l*` `sqr-pow`
24×	`div-inv`
18×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`pow1` `div-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-flip` `pow-pow`
2×	`rec-exp` `frac-2neg` `sqrt-pow1` `pow1/2` `1-exp` `clear-num`
1×	`pow-to-exp` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `associate-/l/` `inv-pow` `rem-cube-cbrt`

Counts

4 → 634

Calls

4 calls:

14.0ms	(/ 1 (sqrt (fma 1.1283791670955126 (/ (exp z) y) (- x))))
41.0ms	(/ (/ 1 (sqrt (fma 1.1283791670955126 (/ (exp z) y) (- x)))) (cbrt (pow (sqrt (fma (/ (exp z) y) 1.1283791670955126 (- x))) 3)))
8.0ms	(pow (sqrt (fma (/ (exp z) y) 1.1283791670955126 (- x))) 3)
7.0ms	(cbrt (pow (sqrt (fma (/ (exp z) y) 1.1283791670955126 (- x))) 3))

series664.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(/ 1 (sqrt (fma 1.1283791670955126 (/ (exp z) y) (- x))))
247.0ms	(/ (/ 1 (sqrt (fma 1.1283791670955126 (/ (exp z) y) (- x)))) (cbrt (pow (sqrt (fma (/ (exp z) y) 1.1283791670955126 (- x))) 3)))
134.0ms	(pow (sqrt (fma (/ (exp z) y) 1.1283791670955126 (- x))) 3)
118.0ms	(cbrt (pow (sqrt (fma (/ (exp z) y) 1.1283791670955126 (- x))) 3))

simplify1.6s

Counts

646 → 646

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	605	29094
1	1059	21816
2	1972	18183
done	5001	17756

prune863.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes183.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	14	12
done	14	12

end0.0ms

sample971.0ms

Algorithm

intervals

Results

600.0ms

8000×

body

valid