Details

sample26.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify17.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize24.0ms

Local error

Found 2 expressions with local error:

0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.4b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-exp` `prod-diff` `div-inv`

Counts

2 → 49

Calls

2 calls:

13.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
20.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series175.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
84.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.3s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
3	2743
2	840
1	259
0	106

prune323.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.8b	(fma 1.1283791670955126 (- (exp z)) (* x y))
6.4b	(/ (- y) (fma 1.1283791670955126 (- (exp z)) (* x y)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

30×	`times-frac`
25×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`associate-/l*`
4×	`neg-mul-1` `add-cbrt-cube` `add-exp-log`
3×	`associate-/r*`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`neg-sub0` `cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `distribute-frac-neg` `fma-udef` `div-inv`

Counts

2 → 71

Calls

2 calls:

0.0ms	(fma 1.1283791670955126 (- (exp z)) (* x y))
8.0ms	(/ (- y) (fma 1.1283791670955126 (- (exp z)) (* x y)))

series192.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(fma 1.1283791670955126 (- (exp z)) (* x y))
100.0ms	(/ (- y) (fma 1.1283791670955126 (- (exp z)) (* x y)))

simplify1.7s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
3	1998
2	692
1	280
0	136

prune429.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b

(+ x (/ y (+ (* z (fma z 0.5641895835477563 1.1283791670955126)) 1.1283791670955126)))

0.1b

(* z (fma z 0.5641895835477563 1.1283791670955126))

5.3b

(/ y (+ (* z (fma z 0.5641895835477563 1.1283791670955126)) 1.1283791670955126))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `add-log-exp`
3×	`expm1-log1p-u` `associate-/r` `fma-def` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `associate-/l`
2×	`flip3-+` `associate-/r/` `flip-+` `fma-udef`
1×	`distribute-rgt-in` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

3 → 73

Calls

3 calls:

48.0ms

(+ x (/ y (+ (* z (fma z 0.5641895835477563 1.1283791670955126)) 1.1283791670955126)))

8.0ms

(* z (fma z 0.5641895835477563 1.1283791670955126))

14.0ms

(/ y (+ (* z (fma z 0.5641895835477563 1.1283791670955126)) 1.1283791670955126))

series312.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms

(+ x (/ y (+ (* z (fma z 0.5641895835477563 1.1283791670955126)) 1.1283791670955126)))

89.0ms

(* z (fma z 0.5641895835477563 1.1283791670955126))

114.0ms

(/ y (+ (* z (fma z 0.5641895835477563 1.1283791670955126)) 1.1283791670955126))

simplify2.6s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
3	3556
2	1070
1	345
0	150

prune426.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite331.0ms

Algorithm

rewrite-expression-head

Rules

3111×	`times-frac`
1571×	`add-sqr-sqrt`
1558×	`*-un-lft-identity`
1550×	`add-cube-cbrt`
1027×	`prod-diff`
274×	`div-inv`
33×	`associate-/l*`
32×	`add-cbrt-cube`
29×	`add-exp-log`
16×	`cbrt-undiv` `div-exp`
13×	`fma-neg`
9×	`associate-/r*`
6×	`add-log-exp` `difference-of-squares`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
3×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod`
2×	`associate-/l/`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `frac-sub` `flip--` `sub-div`

Counts

4 → 1268

Calls

4 calls:

110.0ms	(- (/ -1 x) (/ (/ (/ (* (exp z) 1.1283791670955126) y) x) x))
17.0ms	(/ (* (exp z) 1.1283791670955126) y)
23.0ms	(/ (/ (* (exp z) 1.1283791670955126) y) x)
46.0ms	(/ (/ (/ (* (exp z) 1.1283791670955126) y) x) x)

series183.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (/ -1 x) (/ (/ (/ (* (exp z) 1.1283791670955126) y) x) x))
29.0ms	(/ (* (exp z) 1.1283791670955126) y)
40.0ms	(/ (/ (* (exp z) 1.1283791670955126) y) x)
72.0ms	(/ (/ (/ (* (exp z) 1.1283791670955126) y) x) x)

simplify3.6s

Counts

1280 → 1280

Iterations

Iter	Nodes
done	5001
1	4137
0	1746

prune11.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes178.0ms

Accuracy

64.5% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 2.8b

bsearch1.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	28
1	28
0	22

end0.0ms

sample734.0ms

Algorithm

intervals

Results

553.0ms

8000×

body

valid