Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify15.0ms

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: 1.9b

localize10.0ms

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

rewrite108.0ms

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:

17.0ms	(* 1.1283791670955126 (exp z))
52.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
17.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
19.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series212.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* 1.1283791670955126 (exp z))
40.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
61.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
90.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.4s

Counts

96 → 96

Iterations

Useful iterations: done (2.4s)

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

prune316.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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:

0.0ms	(fma (/ 1.1283791670955126 y) (exp z) (- x))
15.0ms	(+ x (/ 1 (fma (/ 1.1283791670955126 y) (exp z) (- x))))
8.0ms	(/ 1 (fma (/ 1.1283791670955126 y) (exp z) (- x)))

series217.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(fma (/ 1.1283791670955126 y) (exp z) (- x))
55.0ms	(+ x (/ 1 (fma (/ 1.1283791670955126 y) (exp z) (- x))))
95.0ms	(/ 1 (fma (/ 1.1283791670955126 y) (exp z) (- x)))

simplify2.7s

Counts

70 → 70

Iterations

Useful iterations: 4 (1.7s)

Iter	Nodes	Cost
0	115	1021
1	244	934
2	537	870
3	1241	864
4	3688	861
done	5000	861

prune180.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp z) y)
0.0b	(+ x (/ 1 (+ (* (/ (exp z) y) 1.1283791670955126) (- x))))
0.1b	(/ 1 (+ (* (/ (exp z) y) 1.1283791670955126) (- x)))
0.2b	(* (/ (exp z) y) 1.1283791670955126)

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

11.0ms	(/ (exp z) y)
81.0ms	(+ x (/ 1 (+ (* (/ (exp z) y) 1.1283791670955126) (- x))))
46.0ms	(/ 1 (+ (* (/ (exp z) y) 1.1283791670955126) (- x)))
21.0ms	(* (/ (exp z) y) 1.1283791670955126)

series191.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ (exp z) y)
44.0ms	(+ x (/ 1 (+ (* (/ (exp z) y) 1.1283791670955126) (- x))))
96.0ms	(/ 1 (+ (* (/ (exp z) y) 1.1283791670955126) (- x)))
32.0ms	(* (/ (exp z) y) 1.1283791670955126)

simplify2.3s

Counts

128 → 128

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	201	1561
1	467	1379
2	1221	1288
3	3503	1278
done	5000	1278

prune403.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
3.7b	(/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y)))
5.7b	(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y))))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
38×	`times-frac`
34×	`add-cube-cbrt` `*-un-lft-identity`
28×	`cbrt-prod`
24×	`associate-r`
18×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`pow1`
6×	`prod-exp` `cbrt-unprod` `associate-/l*`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r*` `unswap-sqr`
2×	`flip3--` `pow1/3` `flip--` `div-inv`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative`

Counts

4 → 118

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
26.0ms	(/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y)))
93.0ms	(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y))))

series858.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt y)
246.0ms	(cbrt y)
274.0ms	(/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y)))
124.0ms	(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify1.5s

Counts

130 → 130

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	196	2208
1	525	2132
2	1997	1797
done	5001	1709

prune507.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes206.0ms

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	12	13
1	17	13
done	17	13

end0.0ms

sample753.0ms

Algorithm

intervals

Results

371.0ms

8000×

body

valid