Details

sample25.0ms

Algorithm

intervals

Results

9.0ms

331×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
10	4396
9	979
8	302
7	116
6	82
5	64
4	51
3	32
2	18
1	11
0	7

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (/ (- x (* x y)) z))
0.0b	(- x (* x y))
4.1b	(/ (- x (* x y)) z)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-/r` `associate-/l`
2×	`flip3--` `div-sub` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `associate-+r-` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 55

Calls

3 calls:

20.0ms	(+ y (/ (- x (* x y)) z))
6.0ms	(- x (* x y))
15.0ms	(/ (- x (* x y)) z)

series150.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ y (/ (- x (* x y)) z))
45.0ms	(- x (* x y))
62.0ms	(/ (- x (* x y)) z)

simplify488.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
2	1038
1	242
0	94

prune249.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1 (/ z (- x (* x y)))))
0.0b	(- x (* x y))
0.4b	(/ 1 (/ z (- x (* x y))))
4.1b	(/ z (- x (* x y)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
59×	`*-un-lft-identity`
56×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`add-cbrt-cube` `associate-/r/`
8×	`div-exp` `add-log-exp`
7×	`div-inv`
6×	`flip3--` `flip--` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `distribute-lft-out`
1×	`+-commutative` `sum-log` `sub-neg` `flip3-+` `diff-log` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 138

Calls

4 calls:

33.0ms	(+ y (/ 1 (/ z (- x (* x y)))))
5.0ms	(- x (* x y))
17.0ms	(/ 1 (/ z (- x (* x y))))
10.0ms	(/ z (- x (* x y)))

series222.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ y (/ 1 (/ z (- x (* x y)))))
44.0ms	(- x (* x y))
72.0ms	(/ 1 (/ z (- x (* x y))))
67.0ms	(/ z (- x (* x y)))

simplify1.2s

Counts

150 → 150

Iterations

Iter	Nodes
done	5001
2	3492
1	562
0	220

prune478.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 2.3b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* (cbrt (- x (* x y))) (cbrt (- x (* x y)))) (/ (cbrt (- x (* x y))) z))
4.6b	(cbrt (- x (* x y)))
4.6b	(cbrt (- x (* x y)))
4.6b	(cbrt (- x (* x y)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div`
25×	`add-sqr-sqrt`
22×	`associate-r`
20×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
19×	`cbrt-prod`
16×	`frac-times` `add-exp-log`
15×	`flip3--` `flip--`
12×	`associate-*l/`
10×	`add-cbrt-cube`
9×	`pow1`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-*r/`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `unswap-sqr`
2×	`cbrt-undiv` `div-exp`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 100

Calls

4 calls:

78.0ms	(* (* (cbrt (- x (* x y))) (cbrt (- x (* x y)))) (/ (cbrt (- x (* x y))) z))
3.0ms	(cbrt (- x (* x y)))
4.0ms	(cbrt (- x (* x y)))
3.0ms	(cbrt (- x (* x y)))

series408.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (* (cbrt (- x (* x y))) (cbrt (- x (* x y)))) (/ (cbrt (- x (* x y))) z))
110.0ms	(cbrt (- x (* x y)))
102.0ms	(cbrt (- x (* x y)))
113.0ms	(cbrt (- x (* x y)))

simplify1.6s

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
2	3120
1	553
0	192

prune629.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 2.3b

localize33.0ms

Local error

Found 4 expressions with local error:

3.0b	(+ (/ z x) (* (/ z x) y))
3.2b	(* (/ z x) y)
6.4b	(+ (+ (/ z x) (* (/ z x) y)) (* (/ z x) (* y y)))
8.2b	(* (/ z x) (* y y))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
26×	`associate-l`
21×	`add-cbrt-cube` `add-exp-log`
20×	`times-frac`
19×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1` `add-log-exp`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-*l/`
5×	`frac-add`
4×	`sum-log` `associate-r` `pow-prod-down` `unswap-sqr`
3×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
2×	`+-commutative` `*-commutative` `div-inv`
1×	`associate-+l+`

Counts

4 → 95

Calls

4 calls:

19.0ms	(+ (/ z x) (* (/ z x) y))
15.0ms	(* (/ z x) y)
76.0ms	(+ (+ (/ z x) (* (/ z x) y)) (* (/ z x) (* y y)))
27.0ms	(* (/ z x) (* y y))

series187.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (/ z x) (* (/ z x) y))
23.0ms	(* (/ z x) y)
62.0ms	(+ (+ (/ z x) (* (/ z x) y)) (* (/ z x) (* y y)))
52.0ms	(* (/ z x) (* y y))

simplify2.0s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	2876
1	480
0	159

prune537.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 1.8b

regimes167.0ms

Accuracy

-62.4% (2.6b remaining)

Error of 4.4b against oracle of 1.8b and baseline of 3.4b

bsearch107.0ms

Steps

Iters	Range		Point
6	1.226965636493506e+231	5.438920747174487e+231	2.7710236123215926e+231
10	2.7343593190923514e+35	8.606910346173393e+45	8.509729486679156e+45

simplify4.0ms

Iterations

Iter	Nodes
done	33
1	33
0	22

end0.0ms

sample1.0s

Algorithm

intervals

Results

481.0ms

10133×

body

valid