Details

sample39.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify38.0ms

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
9.0b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `add-log-exp`
3×	`expm1-log1p-u` `associate-r` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

30.0ms	(* 1.1283791670955126 (exp z))
26.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
39.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series316.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(* 1.1283791670955126 (exp z))
107.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
180.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify5.3s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
3	3159
2	933
1	306
0	129

prune1.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.0b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.9b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
56×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log`
16×	`associate-/r*`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-l`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `fma-neg` `diff-log` `div-sub` `prod-diff` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

23.0ms	(* 1.1283791670955126 (exp z))
41.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
24.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
56.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series684.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* 1.1283791670955126 (exp z))
122.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
267.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
261.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify4.5s

Counts

158 → 158

Iterations

Iter	Nodes
done	5001
2	1648
1	597
0	235

prune1.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize57.0ms

Local error

Found 3 expressions with local error:

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

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
18×	`times-frac`
17×	`add-cube-cbrt`
12×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r*`
6×	`pow1`
4×	`div-exp` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
3×	`cbrt-undiv` `expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `div-inv`
1×	`rec-exp` `flip3--` `pow-flip` `1-exp` `pow-prod-down` `*-commutative` `flip--` `inv-pow` `unswap-sqr`

Counts

3 → 86

Calls

3 calls:

24.0ms	(/ (* 1.1283791670955126 (exp z)) y)
25.0ms	(* 1.1283791670955126 (exp z))
65.0ms	(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))

series279.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(/ (* 1.1283791670955126 (exp z)) y)
32.0ms	(* 1.1283791670955126 (exp z))
133.0ms	(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))

simplify8.7s

Counts

95 → 95

Iterations

Iter	Nodes
done	5047
3	3591
2	1003
1	370
0	164

prune785.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b

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

0.1b

(fma z (fma 0.5641895835477563 z 1.1283791670955126) 1.1283791670955126)

3.7b

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

19.0ms

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

1.0ms

(fma z (fma 0.5641895835477563 z 1.1283791670955126) 1.1283791670955126)

11.0ms

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

series354.0ms

Counts

3 → 9

Calls

3 calls:

162.0ms

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

49.0ms

(fma z (fma 0.5641895835477563 z 1.1283791670955126) 1.1283791670955126)

143.0ms

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

simplify4.0s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
3	2580
2	752
1	250
0	112

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes397.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.4s

8000×

body

valid