Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

348×

body

valid

simplify902.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	809
6	193
5	141
4	112
3	79
2	42
1	19
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

4.0ms	(+ 0.253 (* x 0.12))
21.0ms	(* x (+ 0.253 (* x 0.12)))

series137.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ 0.253 (* x 0.12))
88.0ms	(* x (+ 0.253 (* x 0.12)))

simplify890.0ms

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
2	837
1	187
0	60

prune201.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 0.253 (* x 0.12))
0.1b	(* x (/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12))))
0.2b	(/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12)))
0.4b	(* (* x 0.12) (* x 0.12))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
27×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-cbrt-cube` `add-exp-log`
22×	`*-un-lft-identity` `add-cube-cbrt`
19×	`associate-r`
18×	`pow-prod-down`
10×	`prod-exp` `cbrt-unprod`
7×	`difference-of-squares`
6×	`add-log-exp`
4×	`flip3--` `associate-l` `associate-/r/` `pow-sqr` `pow-prod-up` `flip--` `associate-/l*`
3×	`associate-/r*`
2×	`cbrt-undiv` `pow-plus` `div-exp` `*-commutative` `div-inv` `unswap-sqr` `associate-/l/`
1×	`pow2` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `swap-sqr` `associate-*r/`

Counts

4 → 119

Calls

4 calls:

8.0ms	(- 0.253 (* x 0.12))
35.0ms	(* x (/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12))))
24.0ms	(/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12)))
25.0ms	(* (* x 0.12) (* x 0.12))

series499.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- 0.253 (* x 0.12))
232.0ms	(* x (/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12))))
181.0ms	(/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12)))
28.0ms	(* (* x 0.12) (* x 0.12))

simplify1.8s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	2443
1	467
0	160

prune640.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 0.12 (* x x)) (* 0.253 x))
0.2b	(* 0.12 (* x x))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
1×	`+-commutative` `sum-log` `flip3-+` `associate-r` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

27.0ms	(+ (* 0.12 (* x x)) (* 0.253 x))
32.0ms	(* 0.12 (* x x))

series139.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(+ (* 0.12 (* x x)) (* 0.253 x))
48.0ms	(* 0.12 (* x x))

simplify1.4s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
2	980
1	184
0	57

prune121.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (sqrt 0.12) (* (sqrt 0.12) (* x x))) (* 0.253 x))
0.1b	(* (sqrt 0.12) (* (sqrt 0.12) (* x x)))
0.2b	(* (sqrt 0.12) (* x x))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`associate-l`
9×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
5×	`add-log-exp`
2×	`associate-r` `*-commutative` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 58

Calls

3 calls:

50.0ms	(+ (* (sqrt 0.12) (* (sqrt 0.12) (* x x))) (* 0.253 x))
73.0ms	(* (sqrt 0.12) (* (sqrt 0.12) (* x x)))
16.0ms	(* (sqrt 0.12) (* x x))

series341.0ms

Counts

3 → 9

Calls

3 calls:

144.0ms	(+ (* (sqrt 0.12) (* (sqrt 0.12) (* x x))) (* 0.253 x))
131.0ms	(* (sqrt 0.12) (* (sqrt 0.12) (* x x)))
66.0ms	(* (sqrt 0.12) (* x x))

simplify1.2s

Counts

67 → 67

Iterations

Iter	Nodes
done	5001
2	1330
1	237
0	80

prune237.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample660.0ms

Algorithm

intervals

Results

483.0ms

10542×

body

valid