Details

sample35.0ms

Algorithm

intervals

Results

13.0ms

329×

body

valid

simplify32.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

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

rewrite27.0ms

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×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

26.0ms

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

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

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

simplify2.6s

Counts

27 → 27

Iterations

Iter	Nodes
done	5000
3	4580
2	569
1	133
0	51

prune135.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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

rewrite59.0ms

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 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))
49.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series1.3s

Counts

4 → 12

Calls

4 calls:

313.0ms	(cbrt (- 1.0 (* x y)))
351.0ms	(cbrt (- 1.0 (* x y)))
332.0ms	(cbrt (- 1.0 (* x y)))
303.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify1.6s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1584
1	382
0	146

prune628.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
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-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

34.0ms	(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
9.0ms	(cbrt (* x (- 1.0 (* x y))))
9.0ms	(cbrt (* x (- 1.0 (* x y))))
8.0ms	(cbrt (* x (- 1.0 (* x y))))

series1.6s

Counts

4 → 12

Calls

4 calls:

463.0ms	(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
377.0ms	(cbrt (* x (- 1.0 (* x y))))
394.0ms	(cbrt (* x (- 1.0 (* x y))))
360.0ms	(cbrt (* x (- 1.0 (* x y))))

simplify2.5s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1995
1	453
0	163

prune532.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x (cbrt (* (- 1.0 (* x y)) (- 1.0 (* x y))))) (cbrt (- 1.0 (* x y))))
0.1b	(* (- 1.0 (* x y)) (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
6.1b	(cbrt (* (- 1.0 (* x y)) (- 1.0 (* x y))))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-div`
40×	`flip3--` `flip--`
36×	`frac-times` `associate-*r/`
18×	`associate-*l/`
16×	`pow1`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
9×	`associate-r`
8×	`add-cbrt-cube`
7×	`cbrt-prod`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`swap-sqr`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow1/3` `*-commutative`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

64.0ms	(* (* x (cbrt (* (- 1.0 (* x y)) (- 1.0 (* x y))))) (cbrt (- 1.0 (* x y))))
40.0ms	(* (- 1.0 (* x y)) (- 1.0 (* x y)))
3.0ms	(cbrt (- 1.0 (* x y)))
12.0ms	(cbrt (* (- 1.0 (* x y)) (- 1.0 (* x y))))

series754.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (* x (cbrt (* (- 1.0 (* x y)) (- 1.0 (* x y))))) (cbrt (- 1.0 (* x y))))
60.0ms	(* (- 1.0 (* x y)) (- 1.0 (* x y)))
295.0ms	(cbrt (- 1.0 (* x y)))
329.0ms	(cbrt (* (- 1.0 (* x y)) (- 1.0 (* x y))))

simplify2.3s

Counts

126 → 126

Iterations

Iter	Nodes
done	5000
2	3183
1	682
0	245

prune723.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes278.0ms

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

sample910.0ms

Algorithm

intervals

Results

471.0ms

10766×

body

valid