Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify12.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.4b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite80.0ms

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:

11.0ms	(* 1.1283791670955126 (exp z))
38.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
11.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
18.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
43.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
58.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
78.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify1.9s

Counts

96 → 96

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	153	1249
1	357	1179
2	927	1105
3	2249	1104
done	5001	1085

prune248.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

11.0ms	(+ x (/ 1 (fma (/ 1.1283791670955126 y) (exp z) (- x))))
0.0ms	(fma (/ 1.1283791670955126 y) (exp z) (- x))
5.0ms	(/ 1 (fma (/ 1.1283791670955126 y) (exp z) (- x)))

series165.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ x (/ 1 (fma (/ 1.1283791670955126 y) (exp z) (- x))))
50.0ms	(fma (/ 1.1283791670955126 y) (exp z) (- x))
75.0ms	(/ 1 (fma (/ 1.1283791670955126 y) (exp z) (- x)))

simplify1.9s

Counts

70 → 70

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	115	1021
1	244	934
2	537	870
3	1236	864
4	3684	861
done	5000	860

prune159.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (/ 1.1283791670955126 y) (exp z) (- x))
0.0b	(pow (fma (/ 1.1283791670955126 y) (exp z) (- x)) 3)
0.1b	(/ 1 (cbrt (pow (fma (/ 1.1283791670955126 y) (exp z) (- x)) 3)))
34.8b	(cbrt (pow (fma (/ 1.1283791670955126 y) (exp z) (- x)) 3))

rewrite22.0ms

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 (/ 1.1283791670955126 y) (exp z) (- x))
3.0ms	(pow (fma (/ 1.1283791670955126 y) (exp z) (- x)) 3)
11.0ms	(/ 1 (cbrt (pow (fma (/ 1.1283791670955126 y) (exp z) (- x)) 3)))
3.0ms	(cbrt (pow (fma (/ 1.1283791670955126 y) (exp z) (- x)) 3))

series288.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(fma (/ 1.1283791670955126 y) (exp z) (- x))
113.0ms	(pow (fma (/ 1.1283791670955126 y) (exp z) (- x)) 3)
76.0ms	(/ 1 (cbrt (pow (fma (/ 1.1283791670955126 y) (exp z) (- x)) 3)))
53.0ms	(cbrt (pow (fma (/ 1.1283791670955126 y) (exp z) (- x)) 3))

simplify3.2s

Counts

152 → 152

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	193	3071
1	361	2409
2	914	2127
3	4724	2101
done	5000	2100

prune271.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample465.0ms

Algorithm

intervals

Results

237.0ms

8000×

body

valid