Details

sample25.0ms

Algorithm

intervals

Results

9.0ms

299×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
2	8
1	7
0	4

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x y) x)

rewrite11.0ms

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:

10.0ms

(- (* x y) x)

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

(- (* x y) x)

simplify3.1s

Counts

15 → 15

Iterations

Iter	Nodes
done	5001
5	4361
4	1122
3	439
2	162
1	60
0	26

prune47.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))
0.6b	(cbrt (- (* x y) x))
0.6b	(cbrt (- (* x y) x))
0.6b	(cbrt (- (* x y) x))

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

series419.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))
94.0ms	(cbrt (- (* x y) x))
97.0ms	(cbrt (- (* x y) x))
109.0ms	(cbrt (- (* x y) x))

simplify1.7s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
3	2859
2	900
1	371
0	147

prune462.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

5.0ms	(cbrt (- (* x y) x))
7.0ms	(cbrt (- (* x y) x))
5.0ms	(cbrt (- (* x y) x))
5.0ms	(cbrt (- (* x y) x))

series418.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(cbrt (- (* x y) x))
90.0ms	(cbrt (- (* x y) x))
116.0ms	(cbrt (- (* x y) x))
105.0ms	(cbrt (- (* x y) x))

simplify2.9s

Counts

64 → 64

Iterations

Iter	Nodes
done	5003
4	4811
3	1296
2	415
1	185
0	75

prune379.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.8b	(+ (* (* x y) (* x y)) (+ (* x x) (* (* x y) x)))
2.3b	(+ (* x x) (* (* x y) x))
4.6b	(- (* (* x y) (* (* x y) (* x y))) (* x (* x x)))
41.7b	(/ (- (* (* x y) (* (* x y) (* x y))) (* x (* x x))) (+ (* (* x y) (* x y)) (+ (* x x) (* (* x y) x))))

rewrite465.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
12×	`times-frac`
10×	`cube-unmult`
6×	`add-cbrt-cube` `add-exp-log`
5×	`difference-cubes`
4×	`pow1` `sum-log` `associate-/l*`
3×	`associate-/r*` `flip3-+` `flip-+`
2×	`+-commutative` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `associate-+r+` `clear-num` `sub-neg` `frac-2neg` `distribute-rgt-out` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

4 → 74

Calls

4 calls:

45.0ms	(+ (* (* x y) (* x y)) (+ (* x x) (* (* x y) x)))
7.0ms	(+ (* x x) (* (* x y) x))
80.0ms	(- (* (* x y) (* (* x y) (* x y))) (* x (* x x)))
331.0ms	(/ (- (* (* x y) (* (* x y) (* x y))) (* x (* x x))) (+ (* (* x y) (* x y)) (+ (* x x) (* (* x y) x))))

series543.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ (* (* x y) (* x y)) (+ (* x x) (* (* x y) x)))
60.0ms	(+ (* x x) (* (* x y) x))
175.0ms	(- (* (* x y) (* (* x y) (* x y))) (* x (* x x)))
228.0ms	(/ (- (* (* x y) (* (* x y) (* x y))) (* x (* x x))) (+ (* (* x y) (* x y)) (+ (* x x) (* (* x y) x))))

simplify1.7s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
2	1816
1	409
0	137

prune489.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes185.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	5
1	5
0	4

end0.0ms

sample586.0ms

Algorithm

intervals

Results

248.0ms

9157×

body

valid