Details

sample38.0ms

Algorithm

intervals

Results

25.0ms

337×

body

valid

simplify787.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	8	9
1	19	9
2	45	8
3	79	8
4	122	8
5	162	8
6	213	8
7	299	8
8	353	8
9	354	8
done	354	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

40.0ms

(* x (+ 0.253 (* x 0.12)))

series127.0ms

Counts

1 → 3

Calls

1 calls:

126.0ms

(* x (+ 0.253 (* x 0.12)))

simplify1.6s

Counts

27 → 27

Iterations

Useful iterations: 2 (169.0ms)

Iter	Nodes	Cost
0	52	269
1	148	260
2	507	207
3	1831	207
done	5002	207

prune96.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 0.253 x) (* 0.12 (pow x 2)))
0.1b	(* 0.12 (pow x 2))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `fma-def` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 43

Calls

2 calls:

18.0ms	(+ (* 0.253 x) (* 0.12 (pow x 2)))
13.0ms	(* 0.12 (pow x 2))

series164.0ms

Counts

2 → 6

Calls

2 calls:

136.0ms	(+ (* 0.253 x) (* 0.12 (pow x 2)))
28.0ms	(* 0.12 (pow x 2))

simplify3.0s

Counts

49 → 49

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	78	472
1	195	415
2	554	372
3	2028	350
done	5000	331

prune119.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 0.253 x) (* (sqrt 0.12) (* (sqrt 0.12) (pow x 2))))
0.2b	(* (sqrt 0.12) (* (sqrt 0.12) (pow x 2)))
0.2b	(* (sqrt 0.12) (pow x 2))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
12×	`associate-l`
10×	`prod-exp` `sqrt-prod` `add-cbrt-cube`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
8×	`unswap-sqr`
5×	`pow1` `unpow-prod-down` `add-log-exp`
4×	`cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u` `unpow2` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `*-commutative`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `sum-log` `flip-+`

Counts

3 → 74

Calls

3 calls:

10.0ms	(+ (* 0.253 x) (* (sqrt 0.12) (* (sqrt 0.12) (pow x 2))))
47.0ms	(* (sqrt 0.12) (* (sqrt 0.12) (pow x 2)))
16.0ms	(* (sqrt 0.12) (pow x 2))

series298.0ms

Counts

3 → 9

Calls

3 calls:

138.0ms	(+ (* 0.253 x) (* (sqrt 0.12) (* (sqrt 0.12) (pow x 2))))
81.0ms	(* (sqrt 0.12) (* (sqrt 0.12) (pow x 2)))
79.0ms	(* (sqrt 0.12) (pow x 2))

simplify4.0s

Counts

83 → 83

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	103	1002
1	258	720
2	878	641
3	3881	619
done	5000	618

prune221.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 0.253 (* x 0.12))
0.3b	(pow (* x 0.12) 3)
0.4b	(* (* x 0.12) (* x 0.12))
12.0b	(/ (* x (+ (pow 0.253 3) (pow (* x 0.12) 3))) (+ (* 0.253 0.253) (- (* (* x 0.12) (* x 0.12)) (* 0.253 (* x 0.12)))))

rewrite336.0ms

Algorithm

rewrite-expression-head

Rules

51×	`pow1`
29×	`add-exp-log` `add-cbrt-cube`
21×	`pow-prod-down`
13×	`prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-l` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `pow-pow` `flip3-+` `pow-plus` `associate-r/` `div-exp` `associate-r` `pow-exp` `associate-/r/` `-commutative` `flip-+` `associate-/l/` `rem-cube-cbrt`
1×	`pow2` `cube-mult` `pow-to-exp` `unpow-prod-down` `frac-2neg` `unpow3` `cube-prod` `swap-sqr` `clear-num` `div-inv` `associate-/l*` `sqr-pow`

Counts

4 → 107

Calls

4 calls:

35.0ms	(* 0.253 (* x 0.12))
13.0ms	(pow (* x 0.12) 3)
56.0ms	(* (* x 0.12) (* x 0.12))
226.0ms	(/ (* x (+ (pow 0.253 3) (pow (* x 0.12) 3))) (+ (* 0.253 0.253) (- (* (* x 0.12) (* x 0.12)) (* 0.253 (* x 0.12)))))

series278.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* 0.253 (* x 0.12))
76.0ms	(pow (* x 0.12) 3)
50.0ms	(* (* x 0.12) (* x 0.12))
135.0ms	(/ (* x (+ (pow 0.253 3) (pow (* x 0.12) 3))) (+ (* 0.253 0.253) (- (* (* x 0.12) (* x 0.12)) (* 0.253 (* x 0.12)))))

simplify1.8s

Counts

119 → 119

Iterations

Useful iterations: 2 (417.0ms)

Iter	Nodes	Cost
0	161	1783
1	424	1387
2	2146	1195
done	5000	1195

prune440.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	13	11
done	13	11

end0.0ms

sample782.0ms

Algorithm

intervals

Results

582.0ms

10612×

body

valid