Details

sample35.0ms

Algorithm

intervals

Results

18.0ms

335×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	8	164
1	15	164
2	31	139
3	73	139
4	155	139
5	235	139
6	300	139
7	327	139
8	356	139
9	476	139
10	702	139
11	1708	139
done	5001	139

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) 6.0) z))
0.0b	(* (- y x) 6.0)
0.2b	(* (* (- y x) 6.0) z)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

11.0ms	(+ x (* (* (- y x) 6.0) z))
25.0ms	(* (- y x) 6.0)
34.0ms	(* (* (- y x) 6.0) z)

series171.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(+ x (* (* (- y x) 6.0) z))
50.0ms	(* (- y x) 6.0)
54.0ms	(* (* (- y x) 6.0) z)

simplify3.4s

Counts

71 → 71

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	104	13833
1	265	12233
2	872	11438
3	3895	11363
done	5000	11363

prune295.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* 6.0 (* z (- y x))))
0.0b	(* z (- y x))
0.3b	(* 6.0 (* z (- y x)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

99×	`distribute-rgt-in` `distribute-lft-in`
90×	`prod-diff`
71×	`add-sqr-sqrt`
69×	`*-un-lft-identity`
67×	`add-cube-cbrt`
44×	`associate-+r+`
10×	`pow1` `sub-neg` `add-cbrt-cube` `add-exp-log`
6×	`associate-r` `associate-l` `associate-*r/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 172

Calls

3 calls:

15.0ms	(+ x (* 6.0 (* z (- y x))))
22.0ms	(* z (- y x))
36.0ms	(* 6.0 (* z (- y x)))

series207.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(+ x (* 6.0 (* z (- y x))))
40.0ms	(* z (- y x))
83.0ms	(* 6.0 (* z (- y x)))

simplify2.7s

Counts

181 → 181

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	245	61044
1	607	53204
2	1413	37175
done	5003	36975

prune678.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (fma (* 6.0 y) z x) (* (* (- x) z) 6.0))
0.1b	(fma (* 6.0 y) z x)
0.2b	(* (* (- x) z) 6.0)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`distribute-lft-neg-out`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`expm1-log1p-u` `fma-def` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`fma-udef`
1×	`+-commutative` `associate-+l+` `sum-log` `flip3-+` `associate-l` `unsub-neg` `*-commutative` `flip-+`

Counts

3 → 50

Calls

3 calls:

10.0ms	(+ (fma (* 6.0 y) z x) (* (* (- x) z) 6.0))
0.0ms	(fma (* 6.0 y) z x)
35.0ms	(* (* (- x) z) 6.0)

series158.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ (fma (* 6.0 y) z x) (* (* (- x) z) 6.0))
50.0ms	(fma (* 6.0 y) z x)
32.0ms	(* (* (- x) z) 6.0)

simplify1.9s

Counts

59 → 59

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	84	12146
1	220	11349
2	946	10729
done	5002	9814

prune298.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.2b	(fma (* 6.0 z) (- y x) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (* 6.0 z) (- y x) x)

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

(fma (* 6.0 z) (- y x) x)

simplify2.9s

Counts

13 → 13

Iterations

Useful iterations: 3 (141.0ms)

Iter	Nodes	Cost
0	23	2767
1	43	2767
2	114	2647
3	311	2452
4	1075	2452
done	5009	2452

prune90.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes232.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	164
1	11	164
done	11	164

end0.0ms

sample934.0ms

Algorithm

intervals

Results

493.0ms

10161×

body

valid