Details

sample27.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify20.0ms

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (- (* (exp z) 1.1283791670955126) (* x y))))
0.6b	(- (* (exp z) 1.1283791670955126) (* x y))
10.3b	(/ y (- (* (exp z) 1.1283791670955126) (* x y)))

rewrite107.0ms

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:

62.0ms	(+ x (/ y (- (* (exp z) 1.1283791670955126) (* x y))))
15.0ms	(- (* (exp z) 1.1283791670955126) (* x y))
27.0ms	(/ y (- (* (exp z) 1.1283791670955126) (* x y)))

series269.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ x (/ y (- (* (exp z) 1.1283791670955126) (* x y))))
85.0ms	(- (* (exp z) 1.1283791670955126) (* x y))
135.0ms	(/ y (- (* (exp z) 1.1283791670955126) (* x y)))

simplify759.0ms

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
2	1330
1	330
0	130

prune530.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (fma 1.1283791670955126 (exp z) (- (* x y))) y)))
0.1b	(/ 1 (/ (fma 1.1283791670955126 (exp z) (- (* x y))) y))
0.6b	(fma 1.1283791670955126 (exp z) (- (* x y)))
10.2b	(/ (fma 1.1283791670955126 (exp z) (- (* x y))) y)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 135

Calls

4 calls:

19.0ms	(+ x (/ 1 (/ (fma 1.1283791670955126 (exp z) (- (* x y))) y)))
10.0ms	(/ 1 (/ (fma 1.1283791670955126 (exp z) (- (* x y))) y))
0.0ms	(fma 1.1283791670955126 (exp z) (- (* x y)))
8.0ms	(/ (fma 1.1283791670955126 (exp z) (- (* x y))) y)

series349.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ x (/ 1 (/ (fma 1.1283791670955126 (exp z) (- (* x y))) y)))
85.0ms	(/ 1 (/ (fma 1.1283791670955126 (exp z) (- (* x y))) y))
92.0ms	(fma 1.1283791670955126 (exp z) (- (* x y)))
100.0ms	(/ (fma 1.1283791670955126 (exp z) (- (* x y))) y)

simplify1.5s

Counts

147 → 147

Iterations

Iter	Nodes
done	5001
2	2436
1	529
0	215

prune770.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

18.0ms	(+ x (/ 1 (fma 1.1283791670955126 (/ (exp z) y) (- x))))
11.0ms	(/ (exp z) y)
8.0ms	(/ 1 (fma 1.1283791670955126 (/ (exp z) y) (- x)))
1.0ms	(fma 1.1283791670955126 (/ (exp z) y) (- x))

series315.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+ x (/ 1 (fma 1.1283791670955126 (/ (exp z) y) (- x))))
34.0ms	(/ (exp z) y)
107.0ms	(/ 1 (fma 1.1283791670955126 (/ (exp z) y) (- x)))
94.0ms	(fma 1.1283791670955126 (/ (exp z) y) (- x))

simplify882.0ms

Counts

102 → 102

Iterations

Iter	Nodes
done	5001
2	1315
1	347
0	161

prune493.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(fma 1.1283791670955126 (exp z) (* x (- y)))
3.2b	(/ (/ (fma 1.1283791670955126 (exp z) (* x (- y))) (* (cbrt y) (cbrt y))) (cbrt y))
7.1b	(/ (fma 1.1283791670955126 (exp z) (* x (- y))) (* (cbrt y) (cbrt y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
37×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`cbrt-prod`
18×	`add-exp-log`
11×	`add-cbrt-cube`
10×	`associate-/l*`
9×	`div-inv`
7×	`cbrt-undiv` `associate-/r*` `div-exp`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod`
1×	`pow1/3` `fma-udef` `associate-/l/`

Counts

4 → 120

Calls

4 calls:

1.0ms	(cbrt y)
0.0ms	(fma 1.1283791670955126 (exp z) (* x (- y)))
15.0ms	(/ (/ (fma 1.1283791670955126 (exp z) (* x (- y))) (* (cbrt y) (cbrt y))) (cbrt y))
13.0ms	(/ (fma 1.1283791670955126 (exp z) (* x (- y))) (* (cbrt y) (cbrt y)))

series926.0ms

Counts

4 → 12

Calls

4 calls:

300.0ms	(cbrt y)
79.0ms	(fma 1.1283791670955126 (exp z) (* x (- y)))
145.0ms	(/ (/ (fma 1.1283791670955126 (exp z) (* x (- y))) (* (cbrt y) (cbrt y))) (cbrt y))
402.0ms	(/ (fma 1.1283791670955126 (exp z) (* x (- y))) (* (cbrt y) (cbrt y)))

simplify1.1s

Counts

132 → 132

Iterations

Iter	Nodes
done	5000
2	2569
1	500
0	206

prune950.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes250.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample988.0ms

Algorithm

intervals

Results

618.0ms

8001×

body

valid