Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

336×

body

valid

simplify193.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	19	9
2	41	9
3	67	9
4	87	9
5	101	9
6	138	9
7	168	9
8	185	9
done	185	9

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

5.0ms	(+ 0.253 (* x 0.12))
18.0ms	(* x (+ 0.253 (* x 0.12)))

series103.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ 0.253 (* x 0.12))
69.0ms	(* x (+ 0.253 (* x 0.12)))

simplify1.4s

Counts

39 → 39

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	60	377
1	166	363
2	535	325
3	1727	325
done	5000	325

prune70.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite15.0ms

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:

11.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series757.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt x) (cbrt x))
192.0ms	(cbrt x)
183.0ms	(cbrt x)
178.0ms	(cbrt x)

simplify3.3s

Counts

85 → 85

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune186.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt x) (+ 0.253 (* x 0.12)))
0.4b	(* (cbrt (* x x)) (* (cbrt x) (+ 0.253 (* x 0.12))))
0.6b	(cbrt x)
19.1b	(cbrt (* x x))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

17.0ms	(* (cbrt x) (+ 0.253 (* x 0.12)))
29.0ms	(* (cbrt (* x x)) (* (cbrt x) (+ 0.253 (* x 0.12))))
1.0ms	(cbrt x)
3.0ms	(cbrt (* x x))

series991.0ms

Counts

4 → 12

Calls

4 calls:

341.0ms	(* (cbrt x) (+ 0.253 (* x 0.12)))
85.0ms	(* (cbrt (* x x)) (* (cbrt x) (+ 0.253 (* x 0.12))))
185.0ms	(cbrt x)
379.0ms	(cbrt (* x x))

simplify929.0ms

Counts

83 → 83

Iterations

Useful iterations: done (927.0ms)

Iter	Nodes	Cost
0	129	934
1	337	904
2	1256	811
done	5001	788

prune190.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (cbrt (* x x))) (* (cbrt x) (+ 0.253 (* x 0.12))))
0.6b	(cbrt x)
19.1b	(cbrt (* x x))
19.1b	(cbrt (* x x))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

32.0ms	(* (sqrt (cbrt (* x x))) (* (cbrt x) (+ 0.253 (* x 0.12))))
1.0ms	(cbrt x)
7.0ms	(cbrt (* x x))
3.0ms	(cbrt (* x x))

series903.0ms

Counts

4 → 12

Calls

4 calls:

359.0ms	(* (sqrt (cbrt (* x x))) (* (cbrt x) (+ 0.253 (* x 0.12))))
180.0ms	(cbrt x)
185.0ms	(cbrt (* x x))
178.0ms	(cbrt (* x x))

simplify800.0ms

Counts

69 → 69

Iterations

Useful iterations: done (798.0ms)

Iter	Nodes	Cost
0	112	776
1	283	734
2	1104	661
done	5001	645

prune189.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample339.0ms

Algorithm

intervals

Results

186.0ms

10560×

body

valid