Details

sample41.0ms

Algorithm

intervals

Results

19.0ms

335×

body

valid

simplify34.0ms

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

localize14.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (- 1.0 (* x y)) x)

rewrite20.0ms

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:

19.0ms

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

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

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

simplify477.0ms

Counts

23 → 23

Iterations

Iter	Nodes
done	5000
2	602
1	118
0	47

prune143.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

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))))

rewrite47.0ms

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:

2.0ms	(cbrt (- 1.0 (* y x)))
3.0ms	(cbrt (- 1.0 (* x y)))
3.0ms	(cbrt (- 1.0 (* x y)))
36.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series1.7s

Counts

4 → 12

Calls

4 calls:

335.0ms	(cbrt (- 1.0 (* y x)))
689.0ms	(cbrt (- 1.0 (* x y)))
329.0ms	(cbrt (- 1.0 (* x y)))
365.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify1.1s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1973
1	442
0	171

prune701.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

76×	`cbrt-prod`
52×	`add-sqr-sqrt`
40×	`cbrt-div`
26×	`*-un-lft-identity` `add-cube-cbrt`
18×	`pow1`
15×	`swap-sqr` `associate-r` `associate-l`
14×	`flip3--` `pow1/3` `flip--`
13×	`unswap-sqr`
8×	`frac-times` `add-exp-log`
4×	`add-cbrt-cube` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 136

Calls

4 calls:

5.0ms	(cbrt (- 1.0 (* x y)))
5.0ms	(cbrt (- 1.0 (* x y)))
41.0ms	(* (cbrt (cbrt (- 1.0 (* x y)))) (cbrt (cbrt (- 1.0 (* x y)))))
28.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series1.4s

Counts

4 → 12

Calls

4 calls:

376.0ms	(cbrt (- 1.0 (* x y)))
361.0ms	(cbrt (- 1.0 (* x y)))
371.0ms	(* (cbrt (cbrt (- 1.0 (* x y)))) (cbrt (cbrt (- 1.0 (* x y)))))
285.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify1.2s

Counts

148 → 148

Iterations

Iter	Nodes
done	5002
2	2513
1	573
0	229

prune811.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b	(cbrt (cbrt (cbrt (- 1.0 (* x y)))))
0.2b	(cbrt (* (cbrt (cbrt (- 1.0 (* x y)))) (cbrt (cbrt (- 1.0 (* x y))))))
0.3b	(pow (cbrt (cbrt (cbrt (- 1.0 (* x y))))) (+ 3 1))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

53×	`cbrt-prod`
50×	`cbrt-div`
28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
20×	`add-cube-cbrt`
13×	`flip3--` `flip--`
12×	`pow1` `unpow-prod-down`
9×	`pow1/3`
8×	`frac-times`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`pow-unpow` `add-cbrt-cube` `associate-l/` `associate-r/` `add-log-exp` `unswap-sqr`
2×	`pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `unpow-prod-up` `pow-plus` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `sqr-pow`

Counts

4 → 113

Calls

4 calls:

38.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
4.0ms	(cbrt (cbrt (cbrt (- 1.0 (* x y)))))
18.0ms	(cbrt (* (cbrt (cbrt (- 1.0 (* x y)))) (cbrt (cbrt (- 1.0 (* x y))))))
12.0ms	(pow (cbrt (cbrt (cbrt (- 1.0 (* x y))))) (+ 3 1))

series1.6s

Counts

4 → 12

Calls

4 calls:

306.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
344.0ms	(cbrt (cbrt (cbrt (- 1.0 (* x y)))))
350.0ms	(cbrt (* (cbrt (cbrt (- 1.0 (* x y)))) (cbrt (cbrt (- 1.0 (* x y))))))
633.0ms	(pow (cbrt (cbrt (cbrt (- 1.0 (* x y))))) (+ 3 1))

simplify1.8s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	3318
1	775
0	287

prune1.0s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes137.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample871.0ms

Algorithm

intervals

Results

494.0ms

10624×

body

valid