Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite89.0ms

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:

45.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
12.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
29.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series213.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
66.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
104.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.6s

Counts

73 → 73

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	128	1105
1	313	1048
2	859	982
3	2180	981
done	5000	964

prune324.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

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)))

rewrite30.0ms

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:

21.0ms	(+ 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)))

series192.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ x (/ 1 (fma (/ 1.1283791670955126 y) (exp z) (- x))))
51.0ms	(fma (/ 1.1283791670955126 y) (exp z) (- x))
93.0ms	(/ 1 (fma (/ 1.1283791670955126 y) (exp z) (- x)))

simplify2.7s

Counts

70 → 70

Iterations

Useful iterations: done (2.7s)

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

prune200.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ y (+ (fma (- y) x (* 1.1283791670955126 (exp z))) 0)))
8.0b	(/ y (+ (fma (- y) x (* 1.1283791670955126 (exp z))) 0))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

28.0ms	(+ x (/ y (+ (fma (- y) x (* 1.1283791670955126 (exp z))) 0)))
16.0ms	(/ y (+ (fma (- y) x (* 1.1283791670955126 (exp z))) 0))

series134.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ x (/ y (+ (fma (- y) x (* 1.1283791670955126 (exp z))) 0)))
83.0ms	(/ y (+ (fma (- y) x (* 1.1283791670955126 (exp z))) 0))

simplify3.1s

Counts

58 → 58

Iterations

Useful iterations: 4 (1.8s)

Iter	Nodes	Cost
0	109	1059
1	245	851
2	587	816
3	1380	814
4	4100	812
done	5000	812

prune231.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes106.0ms

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

sample1.4s

Algorithm

intervals

Results

1.0s

8000×

body

valid