Details

sample28.0ms

Algorithm

intervals

Results

15.0ms

348×

body

valid

simplify3.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4460
5	1221
4	417
3	151
2	62
1	26
0	10

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 3.0 x) 4.0)
0.1b	(fma x (- (* 3.0 x) 4.0) 1.0)
0.1b	(* (fma x (- (* 3.0 x) 4.0) 1.0) 3.0)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`expm1-log1p-u` `associate-r` `associate-l` `prod-diff` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `unswap-sqr`

Counts

3 → 48

Calls

3 calls:

7.0ms	(- (* 3.0 x) 4.0)
0.0ms	(fma x (- (* 3.0 x) 4.0) 1.0)
11.0ms	(* (fma x (- (* 3.0 x) 4.0) 1.0) 3.0)

series159.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- (* 3.0 x) 4.0)
39.0ms	(fma x (- (* 3.0 x) 4.0) 1.0)
53.0ms	(* (fma x (- (* 3.0 x) 4.0) 1.0) 3.0)

simplify605.0ms

Counts

57 → 57

Iterations

Iter	Nodes
done	5001
2	768
1	216
0	95

prune294.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

8.0ms	(- (* x 9.0) 12.0)
28.0ms	(* x (- (* x 9.0) 12.0))

series143.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(- (* x 9.0) 12.0)
74.0ms	(* x (- (* x 9.0) 12.0))

simplify802.0ms

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
2	1164
1	242
0	95

prune205.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* x x) 9.0) (- (* 12.0 x)))
0.2b	(* (* x x) 9.0)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`add-log-exp`
4×	`add-sqr-sqrt`
3×	`-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`expm1-log1p-u` `sum-log` `log1p-expm1-u`
1×	`neg-sub0` `+-commutative` `associate-+r-` `fma-def` `flip3-+` `associate-l` `unsub-neg` `neg-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

29.0ms	(+ (* (* x x) 9.0) (- (* 12.0 x)))
32.0ms	(* (* x x) 9.0)

series139.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(+ (* (* x x) 9.0) (- (* 12.0 x)))
41.0ms	(* (* x x) 9.0)

simplify1.9s

Counts

45 → 45

Iterations

Iter	Nodes
done	5001
2	1479
1	213
0	70

prune224.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 3.0 x (- 4.0))
0.1b	(fma (fma 3.0 x (- 4.0)) x 1.0)
0.2b	(* (fma (fma 3.0 x (- 4.0)) x 1.0) (sqrt 3.0))
0.8b	(* (* (fma (fma 3.0 x (- 4.0)) x 1.0) (sqrt 3.0)) (sqrt 3.0))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`sqrt-prod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `fma-udef` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

0.0ms	(fma 3.0 x (- 4.0))
0.0ms	(fma (fma 3.0 x (- 4.0)) x 1.0)
15.0ms	(* (fma (fma 3.0 x (- 4.0)) x 1.0) (sqrt 3.0))
39.0ms	(* (* (fma (fma 3.0 x (- 4.0)) x 1.0) (sqrt 3.0)) (sqrt 3.0))

series369.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(fma 3.0 x (- 4.0))
62.0ms	(fma (fma 3.0 x (- 4.0)) x 1.0)
93.0ms	(* (fma (fma 3.0 x (- 4.0)) x 1.0) (sqrt 3.0))
138.0ms	(* (* (fma (fma 3.0 x (- 4.0)) x 1.0) (sqrt 3.0)) (sqrt 3.0))

simplify825.0ms

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
2	1119
1	226
0	100

prune307.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	20
2	20
1	18
0	10

end0.0ms

sample819.0ms

Algorithm

intervals

Results

604.0ms

10615×

body

valid