Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

369×

body

valid

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	14	7
2	24	7
3	41	7
4	59	7
done	59	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
0.1b	(* (+ (* x y) z) y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

3.0ms	(+ (* x y) z)
14.0ms	(* (+ (* x y) z) y)

series55.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (* x y) z)
34.0ms	(* (+ (* x y) z) y)

simplify1.6s

Counts

42 → 42

Iterations

Useful iterations: 3 (256.0ms)

Iter	Nodes	Cost
0	61	389
1	158	336
2	560	298
3	2516	296
done	5000	296

prune103.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x y) z)
0.1b	(* (fma x y z) (- (* x y) z))
6.2b	(* (* (fma x y z) (- (* x y) z)) y)
19.4b	(/ (* (* (fma x y z) (- (* x y) z)) y) (- (* x y) z))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

3.0ms	(- (* x y) z)
12.0ms	(* (fma x y z) (- (* x y) z))
16.0ms	(* (* (fma x y z) (- (* x y) z)) y)
21.0ms	(/ (* (* (fma x y z) (- (* x y) z)) y) (- (* x y) z))

series279.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (* x y) z)
71.0ms	(* (fma x y z) (- (* x y) z))
89.0ms	(* (* (fma x y z) (- (* x y) z)) y)
36.0ms	(/ (* (* (fma x y z) (- (* x y) z)) y) (- (* x y) z))

simplify1.1s

Counts

113 → 113

Iterations

Useful iterations: 2 (178.0ms)

Iter	Nodes	Cost
0	163	1927
1	420	1800
2	2422	1496
done	5001	1496

prune262.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x y) z)
0.1b	(* (- (* x y) z) y)
0.2b	(* (fma x y z) (* (- (* x y) z) y))
19.4b	(/ (* (fma x y z) (* (- (* x y) z) y)) (- (* x y) z))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

3.0ms	(- (* x y) z)
11.0ms	(* (- (* x y) z) y)
15.0ms	(* (fma x y z) (* (- (* x y) z) y))
18.0ms	(/ (* (fma x y z) (* (- (* x y) z) y)) (- (* x y) z))

series190.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (* x y) z)
38.0ms	(* (- (* x y) z) y)
89.0ms	(* (fma x y z) (* (- (* x y) z) y))
40.0ms	(/ (* (fma x y z) (* (- (* x y) z) y)) (- (* x y) z))

simplify983.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (155.0ms)

Iter	Nodes	Cost
0	145	1610
1	390	1543
2	2149	1041
done	5000	1041

prune251.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

5.8b	(fma x (* y y) (* z y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma x (* y y) (* z y))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(fma x (* y y) (* z y))

simplify782.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (33.0ms)

Iter	Nodes	Cost
0	20	140
1	32	137
2	79	108
3	264	95
4	1205	95
done	5001	95

prune49.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes121.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample550.0ms

Algorithm

intervals

Results

267.0ms

11250×

body

valid