Details

sample27.0ms

Algorithm

intervals

Results

15.0ms

318×

body

valid

simplify66.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	54
7	54
6	51
5	48
4	42
3	35
2	29
1	16
0	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4) y)
0.0b	(- (/ (+ x 4) y) (* (/ x y) z))
2.9b	(* (/ x y) z)

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
22×	`times-frac`
20×	`add-cube-cbrt`
13×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `add-log-exp`
4×	`distribute-lft-out` `associate-/l*`
3×	`associate-/r` `associate-r` `associate-l/` `insert-posit16`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip-+` `flip--` `sub-div`

Counts

3 → 82

Calls

3 calls:

27.0ms	(/ (+ x 4) y)
84.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
23.0ms	(* (/ x y) z)

series115.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ (+ x 4) y)
55.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
28.0ms	(* (/ x y) z)

simplify1.6s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1151
1	356
0	145

prune430.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ x y)) (cbrt (/ x y)))
8.7b	(cbrt (/ x y))
8.7b	(cbrt (/ x y))
8.7b	(cbrt (/ x y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 148

Calls

4 calls:

31.0ms	(* (cbrt (/ x y)) (cbrt (/ x y)))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))

series404.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* (cbrt (/ x y)) (cbrt (/ x y)))
77.0ms	(cbrt (/ x y))
96.0ms	(cbrt (/ x y))
85.0ms	(cbrt (/ x y))

simplify2.7s

Counts

160 → 160

Iterations

Iter	Nodes
done	5116
4	4457
3	1331
2	639
1	281
0	163

prune1.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

8.7b	(cbrt (/ x y))
8.7b	(cbrt (/ x y))
8.7b	(cbrt (/ x y))
8.7b	(cbrt (/ x y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod`
36×	`times-frac`
32×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `div-inv` `add-log-exp`

Counts

4 → 92

Calls

4 calls:

2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))

series393.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(cbrt (/ x y))
100.0ms	(cbrt (/ x y))
101.0ms	(cbrt (/ x y))
114.0ms	(cbrt (/ x y))

simplify1.9s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
5	3222
4	1164
3	403
2	187
1	113
0	77

prune804.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x 4) (* x z))
2.2b	(/ (- (+ x 4) (* x z)) y)

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
4×	`add-cbrt-cube` `add-exp-log`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `diff-log` `insert-posit16` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sum-log` `sub-neg` `frac-2neg` `div-sub` `div-exp` `associate--l+` `div-inv`

Counts

2 → 46

Calls

2 calls:

46.0ms	(- (+ x 4) (* x z))
97.0ms	(/ (- (+ x 4) (* x z)) y)

series78.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(- (+ x 4) (* x z))
50.0ms	(/ (- (+ x 4) (* x z)) y)

simplify2.1s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
3	3411
2	729
1	214
0	85

prune243.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes130.0ms

Accuracy

27% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.0b

bsearch44.0ms

Steps

Iters	Range		Point
9	-2.105317218495009e+64	-1.9938791164796219e+59	-1.492066452799628e+60

simplify3.0ms

Iterations

Iter	Nodes
done	20
1	20
0	17

end0.0ms

sample1.1s

Algorithm

intervals

Results

888.0ms

10175×

body

valid