Details

sample33.0ms

Algorithm

intervals

Results

12.0ms

323×

body

valid

simplify949.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	1734
9	377
8	136
7	96
6	75
5	64
4	53
3	34
2	20
1	13
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) z)
0.0b	(+ (* x y) (* (- 1.0 x) z))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

29.0ms	(* (- 1.0 x) z)
13.0ms	(+ (* x y) (* (- 1.0 x) z))

series85.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* (- 1.0 x) z)
49.0ms	(+ (* x y) (* (- 1.0 x) z))

simplify781.0ms

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
2	763
1	190
0	71

prune250.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`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 → 101

Calls

4 calls:

3.0ms	(cbrt (- 1.0 x))
3.0ms	(cbrt (- 1.0 x))
6.0ms	(cbrt (- 1.0 x))
60.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

series558.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(cbrt (- 1.0 x))
123.0ms	(cbrt (- 1.0 x))
116.0ms	(cbrt (- 1.0 x))
173.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

simplify1.5s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	1218
1	342
0	148

prune722.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* (- 1.0 x) z))
0.1b	(* (* (+ (* x y) (* (- 1.0 x) z)) (+ (* x y) (* (- 1.0 x) z))) (+ (* x y) (* (- 1.0 x) z)))
0.2b	(* (+ (* x y) (* (- 1.0 x) z)) (+ (* x y) (* (- 1.0 x) z)))
38.4b	(cbrt (* (* (+ (* x y) (* (- 1.0 x) z)) (+ (* x y) (* (- 1.0 x) z))) (+ (* x y) (* (- 1.0 x) z))))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

61×	`flip3-+` `flip-+`
60×	`frac-times`
30×	`pow1` `associate-*l/`
26×	`cbrt-div`
18×	`associate-*r/`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r` `add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `+-commutative` `sum-log` `pow1/3` `rem-cbrt-cube`

Counts

4 → 138

Calls

4 calls:

13.0ms	(+ (* x y) (* (- 1.0 x) z))
98.0ms	(* (* (+ (* x y) (* (- 1.0 x) z)) (+ (* x y) (* (- 1.0 x) z))) (+ (* x y) (* (- 1.0 x) z)))
58.0ms	(* (+ (* x y) (* (- 1.0 x) z)) (+ (* x y) (* (- 1.0 x) z)))
65.0ms	(cbrt (* (* (+ (* x y) (* (- 1.0 x) z)) (+ (* x y) (* (- 1.0 x) z))) (+ (* x y) (* (- 1.0 x) z))))

series325.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (* x y) (* (- 1.0 x) z))
132.0ms	(* (* (+ (* x y) (* (- 1.0 x) z)) (+ (* x y) (* (- 1.0 x) z))) (+ (* x y) (* (- 1.0 x) z)))
79.0ms	(* (+ (* x y) (* (- 1.0 x) z)) (+ (* x y) (* (- 1.0 x) z)))
66.0ms	(cbrt (* (* (+ (* x y) (* (- 1.0 x) z)) (+ (* x y) (* (- 1.0 x) z))) (+ (* x y) (* (- 1.0 x) z))))

simplify1.2s

Counts

150 → 150

Iterations

Iter	Nodes
done	5000
1	712
0	199

prune630.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes212.0ms

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	11
1	11
0	8

end0.0ms

sample980.0ms

Algorithm

intervals

Results

458.0ms

10030×

body

valid