Details

sample36.0ms

Algorithm

intervals

Results

22.0ms

322×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
14	1898
13	1739
12	1450
11	924
10	259
9	144
8	114
7	83
6	66
5	57
4	49
3	34
2	20
1	13
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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/` `insert-posit16`
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 → 35

Calls

2 calls:

16.0ms	(* (- 1.0 x) y)
23.0ms	(+ (* (- 1.0 x) y) (* x z))

series95.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* (- 1.0 x) y)
47.0ms	(+ (* (- 1.0 x) y) (* x z))

simplify455.0ms

Counts

41 → 41

Iterations

Iter	Nodes
done	2002
2	600
1	192
0	73

prune135.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
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` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `associate-*r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

31.0ms	(* (cbrt (* (- 1.0 x) y)) (cbrt (* (- 1.0 x) y)))
8.0ms	(cbrt (* (- 1.0 x) y))
8.0ms	(cbrt (* (- 1.0 x) y))
8.0ms	(cbrt (* (- 1.0 x) y))

series486.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* (cbrt (* (- 1.0 x) y)) (cbrt (* (- 1.0 x) y)))
115.0ms	(cbrt (* (- 1.0 x) y))
107.0ms	(cbrt (* (- 1.0 x) y))
111.0ms	(cbrt (* (- 1.0 x) y))

simplify651.0ms

Counts

88 → 88

Iterations

Iter	Nodes
done	2000
2	927
1	390
0	156

prune402.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

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` `insert-posit16` `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 → 91

Calls

4 calls:

73.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
8.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
11.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
8.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))

series882.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
216.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
227.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
215.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))

simplify955.0ms

Counts

103 → 103

Iterations

Iter	Nodes
done	2003
2	1037
1	403
0	159

prune414.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
3.8b	(* (- (* 1.0 1.0) (* x x)) y)
5.7b	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`associate-/r` `times-frac` `associate-l` `associate-l/`
3×	`associate-r` `insert-posit16`
2×	`cbrt-undiv` `flip3-+` `flip3--` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `difference-of-squares` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

37.0ms	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
20.0ms	(* (- (* 1.0 1.0) (* x x)) y)
25.0ms	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

series224.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
62.0ms	(* (- (* 1.0 1.0) (* x x)) y)
81.0ms	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

simplify664.0ms

Counts

71 → 71

Iterations

Iter	Nodes
done	2094
2	1434
1	375
0	125

prune288.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes208.0ms

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	11
1	11
0	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

745.0ms

9985×

body

valid