Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

328×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	22	9
2	45	9
3	112	9
4	221	9
5	353	9
6	581	9
7	1620	9
done	5000	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
8.6b	(/ (* x (+ (- y z) 1.0)) z)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `associate-/l/` `distribute-lft-out` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

40.0ms	(* x (+ (- y z) 1.0))
18.0ms	(/ (* x (+ (- y z) 1.0)) z)

series83.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* x (+ (- y z) 1.0))
45.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify466.0ms

Counts

57 → 57

Iterations

Useful iterations: done (464.0ms)

Iter	Nodes	Cost
0	98	645
1	268	625
2	1143	531
done	5000	530

prune136.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma (/ x z) 1.0 (/ (* x y) z)) x)
0.0b	(fma (/ x z) 1.0 (/ (* x y) z))
6.7b	(/ (* x y) z)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

3.0ms	(- (fma (/ x z) 1.0 (/ (* x y) z)) x)
0.0ms	(fma (/ x z) 1.0 (/ (* x y) z))
4.0ms	(/ (* x y) z)

series125.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(- (fma (/ x z) 1.0 (/ (* x y) z)) x)
58.0ms	(fma (/ x z) 1.0 (/ (* x y) z))
22.0ms	(/ (* x y) z)

simplify469.0ms

Counts

71 → 71

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	114	1097
1	252	977
2	1014	844
done	5000	844

prune174.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma (/ x z) 1.0 (* (* x y) (/ 1 z))) x)
0.0b	(fma (/ x z) 1.0 (* (* x y) (/ 1 z)))
6.8b	(* (* x y) (/ 1 z))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
19×	`add-sqr-sqrt` `*-un-lft-identity`
17×	`add-cube-cbrt`
15×	`add-cbrt-cube`
13×	`associate-r`
12×	`prod-exp`
9×	`times-frac` `prod-diff`
8×	`pow1`
6×	`cbrt-unprod`
5×	`add-log-exp`
4×	`div-exp`
3×	`expm1-log1p-u` `fma-neg` `pow-prod-down` `log1p-expm1-u`
2×	`cbrt-undiv` `rec-exp` `1-exp` `fma-udef`
1×	`sub-neg` `flip3--` `diff-log` `associate-r/` `associate-l` `associate--l+` `un-div-inv` `-commutative` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 79

Calls

3 calls:

3.0ms	(- (fma (/ x z) 1.0 (* (* x y) (/ 1 z))) x)
0.0ms	(fma (/ x z) 1.0 (* (* x y) (/ 1 z)))
10.0ms	(* (* x y) (/ 1 z))

series123.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- (fma (/ x z) 1.0 (* (* x y) (/ 1 z))) x)
56.0ms	(fma (/ x z) 1.0 (* (* x y) (/ 1 z)))
21.0ms	(* (* x y) (/ 1 z))

simplify1.0s

Counts

88 → 88

Iterations

Useful iterations: 2 (148.0ms)

Iter	Nodes	Cost
0	149	1434
1	389	1120
2	1578	933
done	5000	933

prune192.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma (/ x z) 1.0 (/ 1 (/ z (* x y)))) x)
0.0b	(fma (/ x z) 1.0 (/ 1 (/ z (* x y))))
0.5b	(/ 1 (/ z (* x y)))
6.5b	(/ z (* x y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
31×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`add-exp-log`
29×	`add-cube-cbrt`
18×	`add-cbrt-cube`
14×	`div-exp`
9×	`prod-diff`
8×	`associate-/r*`
7×	`cbrt-undiv`
6×	`div-inv` `associate-/l*` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u`
3×	`rec-exp` `fma-neg` `1-exp`
2×	`frac-2neg` `clear-num` `cbrt-unprod` `fma-udef`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `associate--l+` `associate-/r/` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 120

Calls

4 calls:

3.0ms	(- (fma (/ x z) 1.0 (/ 1 (/ z (* x y)))) x)
0.0ms	(fma (/ x z) 1.0 (/ 1 (/ z (* x y))))
6.0ms	(/ 1 (/ z (* x y)))
3.0ms	(/ z (* x y))

series147.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (fma (/ x z) 1.0 (/ 1 (/ z (* x y)))) x)
50.0ms	(fma (/ x z) 1.0 (/ 1 (/ z (* x y))))
27.0ms	(/ 1 (/ z (* x y)))
23.0ms	(/ z (* x y))

simplify941.0ms

Counts

132 → 132

Iterations

Useful iterations: 2 (152.0ms)

Iter	Nodes	Cost
0	186	1901
1	416	1685
2	1584	1314
done	5000	1314

prune275.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes111.0ms

Accuracy

96.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.4b

bsearch76.0ms

Steps

Iters	Range		Point
8	1.4645119114423102e-54	3.3594796181009395e-50	1.5118393353993747e-50
7	-0.05495133652606057	-0.0002967127813376113	-0.003247600141383757

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	41
1	26	41
done	26	41

end0.0ms

sample481.0ms

Algorithm

intervals

Results

261.0ms

10090×

body

valid