Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

330×

body

valid

simplify135.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	243
6	243
5	241
4	196
3	98
2	44
1	16
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (+ z 1.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`flip3-+` `flip-+`
5×	`add-sqr-sqrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
2×	`associate-l/` `associate-r/` `distribute-lft-out`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 33

Calls

1 calls:

23.0ms

(* (+ x y) (+ z 1.0))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* (+ x y) (+ z 1.0))

simplify1.2s

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
2	1150
1	284
0	81

prune147.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (+ x y) z) (* (+ x y) 1.0))
0.0b	(* (+ x y) z)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-*l/`
6×	`add-sqr-sqrt` `*-un-lft-identity` `flip3-+` `flip-+`
4×	`pow1` `add-cbrt-cube` `associate-l` `frac-add` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `sum-log` `fma-def` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 44

Calls

2 calls:

15.0ms	(+ (* (+ x y) z) (* (+ x y) 1.0))
14.0ms	(* (+ x y) z)

series76.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (* (+ x y) z) (* (+ x y) 1.0))
25.0ms	(* (+ x y) z)

simplify1.4s

Counts

50 → 50

Iterations

Iter	Nodes
done	5003
2	1132
1	309
0	100

prune194.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) (* 1.0 1.0))
1.0b	(* (+ x y) (- (* z z) (* 1.0 1.0)))
9.2b	(/ (* (+ x y) (- (* z z) (* 1.0 1.0))) (- z 1.0))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
8×	`frac-times` `flip3--` `flip--` `associate-/l/`
7×	`add-cube-cbrt`
6×	`flip3-+` `flip-+`
5×	`pow1` `associate-/r*` `times-frac` `add-log-exp`
4×	`associate-r` `associate-l` `associate-l/` `associate-r/` `difference-of-squares`
3×	`distribute-rgt-in` `expm1-log1p-u` `sub-neg` `distribute-lft-in` `prod-diff` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `distribute-lft-out--`
1×	`clear-num` `frac-2neg` `fma-neg` `diff-log` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 93

Calls

3 calls:

8.0ms	(- (* z z) (* 1.0 1.0))
39.0ms	(* (+ x y) (- (* z z) (* 1.0 1.0)))
32.0ms	(/ (* (+ x y) (- (* z z) (* 1.0 1.0))) (- z 1.0))

series275.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (* z z) (* 1.0 1.0))
92.0ms	(* (+ x y) (- (* z z) (* 1.0 1.0)))
132.0ms	(/ (* (+ x y) (- (* z z) (* 1.0 1.0))) (- z 1.0))

simplify2.2s

Counts

102 → 102

Iterations

Iter	Nodes
done	5004
2	2198
1	520
0	167

prune533.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z z) (- (* 1.0 1.0) (* z 1.0)))
0.1b	(* z (* z z))
1.5b	(* (fma (* 1.0 1.0) 1.0 (* z (* z z))) (+ x y))
13.9b	(/ (* (fma (* 1.0 1.0) 1.0 (* z (* z z))) (+ x y)) (+ (* z z) (- (* 1.0 1.0) (* z 1.0))))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
16×	`add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
9×	`add-cube-cbrt` `add-log-exp`
6×	`associate-l`
5×	`associate-r` `prod-exp` `pow-prod-up` `cbrt-unprod`
4×	`expm1-log1p-u` `flip3-+` `pow-prod-down` `associate-*r/` `flip-+` `insert-posit16` `log1p-expm1-u`
3×	`associate-+r+` `associate-/r*` `times-frac`
2×	`cbrt-undiv` `sum-log` `div-exp` `associate-/r/` `*-commutative` `unswap-sqr` `associate-/l/`
1×	`pow2` `distribute-rgt-in` `+-commutative` `clear-num` `associate-+r-` `sub-neg` `fma-def` `frac-2neg` `distribute-lft-in` `pow-plus` `diff-log` `cube-unmult` `prod-diff` `pow-sqr` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

4 → 101

Calls

4 calls:

20.0ms	(+ (* z z) (- (* 1.0 1.0) (* z 1.0)))
14.0ms	(* z (* z z))
22.0ms	(* (fma (* 1.0 1.0) 1.0 (* z (* z z))) (+ x y))
42.0ms	(/ (* (fma (* 1.0 1.0) 1.0 (* z (* z z))) (+ x y)) (+ (* z z) (- (* 1.0 1.0) (* z 1.0))))

series227.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (* z z) (- (* 1.0 1.0) (* z 1.0)))
37.0ms	(* z (* z z))
51.0ms	(* (fma (* 1.0 1.0) 1.0 (* z (* z z))) (+ x y))
117.0ms	(/ (* (fma (* 1.0 1.0) 1.0 (* z (* z z))) (+ x y)) (+ (* z z) (- (* 1.0 1.0) (* z 1.0))))

simplify1.7s

Counts

113 → 113

Iterations

Iter	Nodes
done	5002
2	1821
1	471
0	173

prune514.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample733.0ms

Algorithm

intervals

Results

428.0ms	10100×	body	80	valid
0.0ms	1×	body	1280	valid