Details

sample34.0ms

Algorithm

intervals

Results

11.0ms

291×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	8
0	5

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* y z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip--`

Counts

1 → 12

Calls

1 calls:

8.0ms

(- x (* y z))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(- x (* y z))

simplify1.9s

Counts

15 → 15

Iterations

Iter	Nodes
done	5001
4	3188
3	1019
2	266
1	75
0	29

prune62.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x (* y z))) (cbrt (- x (* y z))))
0.5b	(cbrt (- x (* y z)))
0.5b	(cbrt (- x (* y z)))
0.5b	(cbrt (- x (* y z)))

rewrite65.0ms

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:

45.0ms	(* (cbrt (- x (* y z))) (cbrt (- x (* y z))))
5.0ms	(cbrt (- x (* y z)))
5.0ms	(cbrt (- x (* y z)))
5.0ms	(cbrt (- x (* y z)))

series737.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt (- x (* y z))) (cbrt (- x (* y z))))
175.0ms	(cbrt (- x (* y z)))
195.0ms	(cbrt (- x (* y z)))
166.0ms	(cbrt (- x (* y z)))

simplify1.0s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1116
1	334
0	134

prune620.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y z) x)
0.9b	(- (* x x) (* (* z z) (* y y)))
21.8b	(* (* z z) (* y y))
25.0b	(/ (- (* x x) (* (* z z) (* y y))) (+ (* y z) x))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
18×	`add-cbrt-cube` `add-exp-log`
14×	`pow-prod-down`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`pow-plus` `pow-prod-up`
3×	`associate-/r` `associate-/l`
2×	`pow2` `flip3-+` `flip3--` `associate-/r/` `pow-sqr` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `associate-r` `associate-l` `*-commutative` `div-inv` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

12.0ms	(+ (* y z) x)
13.0ms	(- (* x x) (* (* z z) (* y y)))
45.0ms	(* (* z z) (* y y))
51.0ms	(/ (- (* x x) (* (* z z) (* y y))) (+ (* y z) x))

series306.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* y z) x)
111.0ms	(- (* x x) (* (* z z) (* y y)))
61.0ms	(* (* z z) (* y y))
98.0ms	(/ (- (* x x) (* (* z z) (* y y))) (+ (* y z) x))

simplify1.9s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	3057
1	427
0	130

prune392.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.9b	(- (* x x) (* (* (* z z) y) y))
4.7b	(* (* (* z z) y) y)
9.2b	(* (* z z) y)
25.0b	(/ (- (* x x) (* (* (* z z) y) y)) (+ (* y z) x))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-cbrt-cube` `add-exp-log`
18×	`pow1`
15×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`flip3--` `associate-l` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `flip-+` `div-inv` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

7.0ms	(- (* x x) (* (* (* z z) y) y))
86.0ms	(* (* (* z z) y) y)
25.0ms	(* (* z z) y)
33.0ms	(/ (- (* x x) (* (* (* z z) y) y)) (+ (* y z) x))

series678.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(- (* x x) (* (* (* z z) y) y))
59.0ms	(* (* (* z z) y) y)
20.0ms	(* (* z z) y)
485.0ms	(/ (- (* x x) (* (* (* z z) y) y)) (+ (* y z) x))

simplify1.9s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	2925
1	415
0	135

prune463.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes226.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample701.0ms

Algorithm

intervals

Results

248.0ms

9039×

body

valid