Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify15.0ms

Counts

1 → 1

Iterations

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
7.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite79.0ms

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-cbrt-cube` `add-exp-log`
3×	`expm1-log1p-u` `pow1` `associate-/r` `fma-def` `log1p-expm1-u` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 64

Calls

3 calls:

13.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
36.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
28.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series219.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
44.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
106.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify581.0ms

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
2	1205
1	324
0	128

prune725.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ y (fma 1.1283791670955126 (exp z) (* (- y) x))))
7.3b	(/ y (fma 1.1283791670955126 (exp z) (* (- y) x)))
7.3b	(/ y (fma 1.1283791670955126 (exp z) (* (- y) x)))
7.3b	(/ y (fma 1.1283791670955126 (exp z) (* (- y) x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
35×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`cbrt-prod`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r` `associate-/l`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`cbrt-div` `pow1/3`

Counts

4 → 111

Calls

4 calls:

2.0ms	(cbrt (/ y (fma 1.1283791670955126 (exp z) (* (- y) x))))
5.0ms	(/ y (fma 1.1283791670955126 (exp z) (* (- y) x)))
6.0ms	(/ y (fma 1.1283791670955126 (exp z) (* (- y) x)))
4.0ms	(/ y (fma 1.1283791670955126 (exp z) (* (- y) x)))

series560.0ms

Counts

4 → 12

Calls

4 calls:

268.0ms	(cbrt (/ y (fma 1.1283791670955126 (exp z) (* (- y) x))))
91.0ms	(/ y (fma 1.1283791670955126 (exp z) (* (- y) x)))
103.0ms	(/ y (fma 1.1283791670955126 (exp z) (* (- y) x)))
97.0ms	(/ y (fma 1.1283791670955126 (exp z) (* (- y) x)))

simplify555.0ms

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	1230
1	373
0	168

prune974.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

7.3b	(/ y (fma 1.1283791670955126 (exp z) (* (- y) x)))
7.8b	(cbrt (fma (- y) x (* (exp z) 1.1283791670955126)))
7.8b	(cbrt (fma (- y) x (* (exp z) 1.1283791670955126)))
7.8b	(cbrt (fma (- y) x (* (exp z) 1.1283791670955126)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 68

Calls

4 calls:

4.0ms	(/ y (fma 1.1283791670955126 (exp z) (* (- y) x)))
1.0ms	(cbrt (fma (- y) x (* (exp z) 1.1283791670955126)))
1.0ms	(cbrt (fma (- y) x (* (exp z) 1.1283791670955126)))
1.0ms	(cbrt (fma (- y) x (* (exp z) 1.1283791670955126)))

series948.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(/ y (fma 1.1283791670955126 (exp z) (* (- y) x)))
276.0ms	(cbrt (fma (- y) x (* (exp z) 1.1283791670955126)))
287.0ms	(cbrt (fma (- y) x (* (exp z) 1.1283791670955126)))
264.0ms	(cbrt (fma (- y) x (* (exp z) 1.1283791670955126)))

simplify1.5s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
3	4619
2	897
1	276
0	127

prune728.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ 1 x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
39×	`prod-diff`
36×	`add-cube-cbrt`
29×	`times-frac`
4×	`div-inv`
3×	`fma-neg` `add-log-exp` `difference-of-squares`
2×	`distribute-lft-out--`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `log1p-expm1-u` `flip--`

Counts

1 → 61

Calls

1 calls:

11.0ms

(- x (/ 1 x))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(- x (/ 1 x))

simplify1.0s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
2	1227
1	351
0	140

prune138.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes403.0ms

Accuracy

61.7% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 3.4b

bsearch1.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample794.0ms

Algorithm

intervals

Results

519.0ms

8000×

body

valid