Details

sample51.0ms

Algorithm

intervals

Results

35.0ms

324×

body

valid

simplify83.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	58
7	58
6	55
5	52
4	46
3	39
2	29
1	16
0	10

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize46.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4) y)
0.0b	(- (/ (+ x 4) y) (* (/ x y) z))
3.7b	(* (/ x y) z)

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
46×	`times-frac`
41×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
16×	`fma-neg` `prod-diff`
13×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
5×	`pow1` `add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`expm1-log1p-u` `associate-/r` `associate-r` `associate-l/` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `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 → 120

Calls

3 calls:

27.0ms	(/ (+ x 4) y)
77.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
21.0ms	(* (/ x y) z)

series124.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ (+ x 4) y)
63.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
29.0ms	(* (/ x y) z)

simplify2.0s

Counts

129 → 129

Iterations

Iter	Nodes
3	3982
2	1300
1	416
0	168

prune1.7s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* (cbrt (+ x 4)) (cbrt (+ x 4))) (/ y (cbrt (+ x 4))))
0.3b	(/ y (cbrt (+ x 4)))
0.8b	(* (cbrt (+ x 4)) (cbrt (+ x 4)))
3.7b	(* (/ x y) z)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

100×	`times-frac`
98×	`*-un-lft-identity`
77×	`add-sqr-sqrt`
64×	`cbrt-prod` `add-cube-cbrt`
34×	`associate-/r*`
30×	`cbrt-div`
25×	`add-exp-log`
20×	`associate-l`
16×	`add-cbrt-cube` `distribute-lft-out`
15×	`flip3-+` `flip-+`
13×	`pow1`
10×	`associate-r`
9×	`swap-sqr`
8×	`frac-times` `cbrt-undiv` `div-exp` `associate-/l/`
7×	`associate-/r/`
6×	`pow1/3` `unswap-sqr`
5×	`associate-*l/` `prod-exp` `cbrt-unprod` `div-inv`
4×	`expm1-log1p-u` `associate-r/` `insert-posit16` `log1p-expm1-u` `associate-/l` `add-log-exp`
3×	`pow-prod-down`
2×	`clear-num` `frac-2neg` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 224

Calls

4 calls:

45.0ms	(/ (* (cbrt (+ x 4)) (cbrt (+ x 4))) (/ y (cbrt (+ x 4))))
16.0ms	(/ y (cbrt (+ x 4)))
28.0ms	(* (cbrt (+ x 4)) (cbrt (+ x 4)))
10.0ms	(* (/ x y) z)

series282.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ (* (cbrt (+ x 4)) (cbrt (+ x 4))) (/ y (cbrt (+ x 4))))
114.0ms	(/ y (cbrt (+ x 4)))
78.0ms	(* (cbrt (+ x 4)) (cbrt (+ x 4)))
42.0ms	(* (/ x y) z)

simplify1.1s

Counts

236 → 236

Iterations

Iter	Nodes
2	2941
1	901
0	354

prune2.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4) y)
0.0b	(- (/ (+ x 4) y) (* x (/ z y)))
5.6b	(* x (/ z y))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
46×	`times-frac`
41×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
16×	`fma-neg` `prod-diff`
13×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
5×	`pow1` `add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`expm1-log1p-u` `associate-/r` `associate-l` `associate-r/` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `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 → 120

Calls

3 calls:

14.0ms	(/ (+ x 4) y)
53.0ms	(- (/ (+ x 4) y) (* x (/ z y)))
9.0ms	(* x (/ z y))

series143.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (+ x 4) y)
71.0ms	(- (/ (+ x 4) y) (* x (/ z y)))
25.0ms	(* x (/ z y))

simplify1.4s

Counts

129 → 129

Iterations

Iter	Nodes
3	3814
2	1199
1	419
0	168

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.9b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ z y)))
3.9b	(* (cbrt x) (/ z y))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log`
25×	`add-sqr-sqrt`
18×	`pow1` `add-cbrt-cube`
15×	`*-un-lft-identity` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
14×	`associate-r`
11×	`cbrt-prod` `times-frac`
9×	`pow-prod-down`
7×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `associate-*r/`
2×	`pow1/3` `*-commutative`
1×	`div-inv`

Counts

4 → 98

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
43.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ z y)))
21.0ms	(* (cbrt x) (/ z y))

series835.0ms

Counts

4 → 12

Calls

4 calls:

295.0ms	(cbrt x)
276.0ms	(cbrt x)
74.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ z y)))
190.0ms	(* (cbrt x) (/ z y))

simplify1.5s

Counts

110 → 110

Iterations

Iter	Nodes
3	4258
2	1139
1	345
0	130

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes195.0ms

Accuracy

84.2% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.6b

bsearch177.0ms

Steps

Iters	Range		Point
9	3.8907921361110065e-117	1.3835813177589368e-111	4.712266768697627e-112
10	-5.0882900838050086e+42	-2.357689557662618e+32	-1.6359444841938246e+35

simplify6.0ms

Iterations

Iter	Nodes
2	26
1	26
0	20

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.2s

10082×

body

valid