Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

336×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	10	13
1	27	13
2	63	11
3	151	10
4	291	10
5	356	10
6	420	10
7	532	10
8	696	10
9	944	10
10	1139	10
11	1218	10
12	1219	10
done	1219	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* x 3.0) x) (* x 4.0))
0.0b	(+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)
0.1b	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
0.2b	(* (* x 3.0) x)

rewrite362.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt`
7×	`associate-r`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`associate-+l+` `fma-def`
2×	`sub-neg` `flip3-+` `diff-log` `associate-r/` `prod-diff` `sum-log` `-commutative` `flip-+` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `associate-+l-` `flip3--` `distribute-lft-in` `fma-neg` `flip--` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

21.0ms	(- (* (* x 3.0) x) (* x 4.0))
93.0ms	(+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)
229.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
18.0ms	(* (* x 3.0) x)

series176.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- (* (* x 3.0) x) (* x 4.0))
30.0ms	(+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)
34.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
29.0ms	(* (* x 3.0) x)

simplify2.5s

Counts

95 → 95

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	130	1208
1	342	1149
2	1102	919
3	4581	865
done	5000	865

prune220.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x 9.0) 12.0)
0.1b	(* x (- (* x 9.0) 12.0))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `prod-diff`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `associate-r` `associate-l`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
1×	`fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

9.0ms	(- (* x 9.0) 12.0)
34.0ms	(* x (- (* x 9.0) 12.0))

series111.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(- (* x 9.0) 12.0)
69.0ms	(* x (- (* x 9.0) 12.0))

simplify1.0s

Counts

56 → 56

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	95	644
1	193	552
2	455	481
3	1673	452
done	5001	440

prune115.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 3.0) 4.0)
0.1b	(* x (- (* x 3.0) 4.0))
0.1b	(* (* x (- (* x 3.0) 4.0)) 3.0)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity` `prod-diff`
6×	`associate-r`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `flip3--` `flip--` `log1p-expm1-u`
2×	`associate-l/` `-commutative`
1×	`fma-neg` `diff-log` `unswap-sqr`

Counts

3 → 72

Calls

3 calls:

9.0ms	(- (* x 3.0) 4.0)
29.0ms	(* x (- (* x 3.0) 4.0))
48.0ms	(* (* x (- (* x 3.0) 4.0)) 3.0)

series211.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- (* x 3.0) 4.0)
70.0ms	(* x (- (* x 3.0) 4.0))
95.0ms	(* (* x (- (* x 3.0) 4.0)) 3.0)

simplify2.4s

Counts

81 → 81

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	126	957
1	271	859
2	763	734
3	3282	717
done	5000	698

prune161.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x 3.0 (- 4.0))
0.1b	(* x (fma x 3.0 (- 4.0)))
0.1b	(* (* x (fma x 3.0 (- 4.0))) 3.0)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-udef` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`distribute-rgt-in` `distribute-lft-in` `unswap-sqr`

Counts

3 → 52

Calls

3 calls:

0.0ms	(fma x 3.0 (- 4.0))
7.0ms	(* x (fma x 3.0 (- 4.0)))
18.0ms	(* (* x (fma x 3.0 (- 4.0))) 3.0)

series235.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(fma x 3.0 (- 4.0))
84.0ms	(* x (fma x 3.0 (- 4.0)))
103.0ms	(* (* x (fma x 3.0 (- 4.0))) 3.0)

simplify1.5s

Counts

61 → 61

Iterations

Useful iterations: 3 (627.0ms)

Iter	Nodes	Cost
0	79	622
1	163	614
2	520	516
3	2248	510
done	5000	510

prune129.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.1b 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	11	9
done	11	9

end0.0ms

sample422.0ms

Algorithm

intervals

Results

267.0ms

10583×

body

valid