Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

362×

body

valid

simplify30.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	19	4
1	45	4
2	82	3
3	127	3
4	168	3
5	224	3
6	359	3
7	666	3
8	763	3
9	763	3
done	763	3

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

6.0ms	(+ 0.253 (* x 0.12))
15.0ms	(* x (+ 0.253 (* x 0.12)))

series103.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ 0.253 (* x 0.12))
69.0ms	(* x (+ 0.253 (* x 0.12)))

simplify115.0ms

Counts

46 → 46

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	175	184
1	809	150
2	4290	148
3	5001	148
done	5001	148

prune102.0ms

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

9.0ms	(+ (* x 0.253) (* x (* x 0.12)))
19.0ms	(* x (* x 0.12))

series103.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(+ (* x 0.253) (* x (* x 0.12)))
27.0ms	(* x (* x 0.12))

simplify95.0ms

Counts

41 → 41

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	176	175
1	724	144
2	3393	141
3	5001	141
done	5001	141

prune76.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* x 0.12))
0.3b	(* (sqrt (* x (* x 0.12))) (sqrt (* x (* x 0.12))))
21.2b	(sqrt (* x (* x 0.12)))
21.2b	(sqrt (* x (* x 0.12)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`sqrt-prod`
5×	`associate-r`
4×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

17.0ms	(* x (* x 0.12))
76.0ms	(* (sqrt (* x (* x 0.12))) (sqrt (* x (* x 0.12))))
12.0ms	(sqrt (* x (* x 0.12)))
13.0ms	(sqrt (* x (* x 0.12)))

series176.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* x (* x 0.12))
68.0ms	(* (sqrt (* x (* x 0.12))) (sqrt (* x (* x 0.12))))
41.0ms	(sqrt (* x (* x 0.12)))
35.0ms	(sqrt (* x (* x 0.12)))

simplify39.0ms

Counts

128 → 128

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	177	413
1	909	334
2	5002	312
done	5002	312

prune189.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

21.2b	(sqrt (* (* (cbrt (* x (* x 0.12))) (cbrt (* x (* x 0.12)))) (cbrt (* x (* x 0.12)))))
21.8b	(cbrt (* x (* x 0.12)))
21.8b	(cbrt (* x (* x 0.12)))
21.8b	(cbrt (* x (* x 0.12)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1`
15×	`sqrt-pow1`
12×	`pow1/3`
9×	`pow-prod-up`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 59

Calls

4 calls:

48.0ms	(sqrt (* (* (cbrt (* x (* x 0.12))) (cbrt (* x (* x 0.12)))) (cbrt (* x (* x 0.12)))))
10.0ms	(cbrt (* x (* x 0.12)))
10.0ms	(cbrt (* x (* x 0.12)))
10.0ms	(cbrt (* x (* x 0.12)))

series766.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(sqrt (* (* (cbrt (* x (* x 0.12))) (cbrt (* x (* x 0.12)))) (cbrt (* x (* x 0.12)))))
221.0ms	(cbrt (* x (* x 0.12)))
211.0ms	(cbrt (* x (* x 0.12)))
221.0ms	(cbrt (* x (* x 0.12)))

simplify84.0ms

Counts

71 → 71

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	92	346
1	234	314
2	1291	308
3	5001	308
done	5001	308

prune180.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	10
1	15	10
done	15	10

end0.0ms

sample352.0ms

Algorithm

intervals

Results

200.0ms

10716×

body

valid