Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

406×

body

valid

simplify186.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	15	5
1	38	4
2	80	4
3	118	4
4	174	4
5	365	4
6	1299	4
7	4620	4
8	5001	4
done	5001	4

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
0.1b	(* (* x x) x)
0.1b	(* 0.12900613773279798 (* (* x x) x))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
17×	`add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `pow3` `flip--` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

8.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
19.0ms	(* (* x x) x)
45.0ms	(* 0.12900613773279798 (* (* x x) x))

series165.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
34.0ms	(* (* x x) x)
36.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify149.0ms

Counts

70 → 70

Iterations

Useful iterations: 3 (145.0ms)

Iter	Nodes	Cost
0	215	272
1	848	214
2	4615	210
3	5002	206
done	5002	206

prune91.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b

(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798))))

0.2b

(* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798)))

0.2b

(* (pow x 3) (sqrt 0.12900613773279798))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-exp-log` `associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `sqrt-prod` `add-cbrt-cube`
8×	`unswap-sqr`
7×	`associate-r`
5×	`pow1` `unpow-prod-down` `cube-prod` `add-log-exp`
4×	`cbrt-unprod`
3×	`sqr-pow`
2×	`pow-to-exp` `pow-exp` `*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-prod-down` `flip--`

Counts

3 → 72

Calls

3 calls:

8.0ms

(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798))))

28.0ms

(* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798)))

15.0ms

(* (pow x 3) (sqrt 0.12900613773279798))

series302.0ms

Counts

3 → 9

Calls

3 calls:

144.0ms

(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798))))

91.0ms

(* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798)))

67.0ms

(* (pow x 3) (sqrt 0.12900613773279798))

simplify49.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	241	500
1	1046	448
2	5002	399
done	5002	399

prune145.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (pow x 3) (sqrt 0.12900613773279798))) (cbrt (* (pow x 3) (sqrt 0.12900613773279798))))
31.7b	(cbrt (* (pow x 3) (sqrt 0.12900613773279798)))
31.7b	(cbrt (* (pow x 3) (sqrt 0.12900613773279798)))
31.7b	(cbrt (* (pow x 3) (sqrt 0.12900613773279798)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

19.0ms	(* (cbrt (* (pow x 3) (sqrt 0.12900613773279798))) (cbrt (* (pow x 3) (sqrt 0.12900613773279798))))
9.0ms	(cbrt (* (pow x 3) (sqrt 0.12900613773279798)))
6.0ms	(cbrt (* (pow x 3) (sqrt 0.12900613773279798)))
6.0ms	(cbrt (* (pow x 3) (sqrt 0.12900613773279798)))

series1.2s

Counts

4 → 12

Calls

4 calls:

314.0ms	(* (cbrt (* (pow x 3) (sqrt 0.12900613773279798))) (cbrt (* (pow x 3) (sqrt 0.12900613773279798))))
286.0ms	(cbrt (* (pow x 3) (sqrt 0.12900613773279798)))
275.0ms	(cbrt (* (pow x 3) (sqrt 0.12900613773279798)))
285.0ms	(cbrt (* (pow x 3) (sqrt 0.12900613773279798)))

simplify83.0ms

Counts

70 → 70

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	124	459
1	528	381
2	2650	344
3	5002	338
done	5002	338

prune179.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

13.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series723.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt x) (cbrt x))
179.0ms	(cbrt x)
172.0ms	(cbrt x)
172.0ms	(cbrt x)

simplify84.0ms

Counts

85 → 85

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235
done	5003	235

prune186.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5
done	11	5

end0.0ms

sample422.0ms

Algorithm

intervals

Results

256.0ms

12084×

body

valid