Details

sample35.0ms

Algorithm

intervals

Results

14.0ms

341×

body

valid

simplify32.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	46
4	46
3	39
2	23
1	10
0	6

prune11.0ms

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	(* (- 1.0 (* x y)) x)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

38.0ms

(* (- 1.0 (* x y)) x)

series56.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(* (- 1.0 (* x y)) x)

simplify495.0ms

Counts

23 → 23

Iterations

Iter	Nodes
done	5000
2	602
1	118
0	47

prune95.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 (* y x)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

5.0ms	(cbrt (- 1.0 (* y x)))
4.0ms	(cbrt (- 1.0 (* x y)))
5.0ms	(cbrt (- 1.0 (* x y)))
24.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series1.5s

Counts

4 → 12

Calls

4 calls:

342.0ms	(cbrt (- 1.0 (* y x)))
358.0ms	(cbrt (- 1.0 (* x y)))
389.0ms	(cbrt (- 1.0 (* x y)))
393.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify941.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1973
1	442
0	171

prune584.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

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)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

9.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

336.0ms	(* (cbrt x) (cbrt x))
272.0ms	(cbrt x)
309.0ms	(cbrt x)
289.0ms	(cbrt x)

simplify1.3s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune338.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- 1.0 (* y x)) x)) (cbrt (* (- 1.0 (* y x)) x)))
0.6b	(cbrt (* (- 1.0 (* y x)) x))
0.6b	(cbrt (* (- 1.0 (* y x)) x))
0.6b	(cbrt (* (- 1.0 (* y x)) x))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
2×	`pow-prod-down` `associate-*r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

30.0ms	(* (cbrt (* (- 1.0 (* y x)) x)) (cbrt (* (- 1.0 (* y x)) x)))
5.0ms	(cbrt (* (- 1.0 (* y x)) x))
8.0ms	(cbrt (* (- 1.0 (* y x)) x))
11.0ms	(cbrt (* (- 1.0 (* y x)) x))

series1.4s

Counts

4 → 12

Calls

4 calls:

379.0ms	(* (cbrt (* (- 1.0 (* y x)) x)) (cbrt (* (- 1.0 (* y x)) x)))
358.0ms	(cbrt (* (- 1.0 (* y x)) x))
377.0ms	(cbrt (* (- 1.0 (* y x)) x))
321.0ms	(cbrt (* (- 1.0 (* y x)) x))

simplify956.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	5002
2	2110
1	473
0	172

prune573.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes184.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample1.3s

Algorithm

intervals

Results

856.0ms

10623×

body

valid