Details

sample34.0ms

Algorithm

intervals

Results

23.0ms

323×

body

valid

simplify41.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	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: 1.2b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4) y)
0.0b	(- (/ (+ x 4) y) (* (/ x y) z))
3.3b	(* (/ x y) z)

rewrite99.0ms

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/`
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 → 79

Calls

3 calls:

24.0ms	(/ (+ x 4) y)
57.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
16.0ms	(* (/ x y) z)

series148.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (+ x 4) y)
77.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
40.0ms	(* (/ x y) z)

simplify2.0s

Counts

88 → 88

Iterations

Iter	Nodes
3	3473
2	1058
1	351
0	142

prune952.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ x 4))
0.0b	(- (/ 1 (/ y (+ x 4))) (* (/ x y) z))
0.1b	(/ 1 (/ y (+ x 4)))
3.3b	(* (/ x y) z)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

124×	`times-frac`
104×	`*-un-lft-identity`
77×	`add-sqr-sqrt`
72×	`add-cube-cbrt`
22×	`associate-/r*` `add-exp-log`
16×	`add-cbrt-cube` `distribute-lft-out`
13×	`associate-l`
11×	`associate-/r/`
9×	`div-exp`
7×	`pow1` `div-inv`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `flip3-+` `flip-+`
3×	`associate-r`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `pow-flip` `flip--` `inv-pow`

Counts

4 → 174

Calls

4 calls:

7.0ms	(/ y (+ x 4))
43.0ms	(- (/ 1 (/ y (+ x 4))) (* (/ x y) z))
12.0ms	(/ 1 (/ y (+ x 4)))
15.0ms	(* (/ x y) z)

series163.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ y (+ x 4))
63.0ms	(- (/ 1 (/ y (+ x 4))) (* (/ x y) z))
32.0ms	(/ 1 (/ y (+ x 4)))
36.0ms	(* (/ x y) z)

simplify1.7s

Counts

186 → 186

Iterations

Iter	Nodes
2	2100
1	678
0	275

prune1.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.9b	(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
2.6b	(* (/ x y) (* (cbrt z) (cbrt z)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
21×	`add-cbrt-cube`
18×	`add-sqr-sqrt` `pow1`
17×	`prod-exp` `cbrt-unprod`
15×	`*-un-lft-identity` `add-cube-cbrt`
14×	`associate-l`
10×	`times-frac`
9×	`cbrt-prod` `pow-prod-down`
7×	`associate-r`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`associate-*l/`
2×	`pow1/3` `*-commutative` `unswap-sqr`
1×	`div-inv`

Counts

4 → 86

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
75.0ms	(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
37.0ms	(* (/ x y) (* (cbrt z) (cbrt z)))

series878.0ms

Counts

4 → 12

Calls

4 calls:

319.0ms	(cbrt z)
331.0ms	(cbrt z)
66.0ms	(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
162.0ms	(* (/ x y) (* (cbrt z) (cbrt z)))

simplify2.1s

Counts

98 → 98

Iterations

Iter	Nodes
3	4179
2	1130
1	348
0	124

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* (cbrt (+ x 4)) (cbrt (+ x 4))) (/ y (cbrt (+ x 4))))
0.4b	(/ y (cbrt (+ x 4)))
0.8b	(* (cbrt (+ x 4)) (cbrt (+ x 4)))
3.3b	(* (/ x y) z)

rewrite104.0ms

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×	`associate-r/` `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 → 212

Calls

4 calls:

37.0ms	(/ (* (cbrt (+ x 4)) (cbrt (+ x 4))) (/ y (cbrt (+ x 4))))
14.0ms	(/ y (cbrt (+ x 4)))
32.0ms	(* (cbrt (+ x 4)) (cbrt (+ x 4)))
13.0ms	(* (/ x y) z)

series292.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (* (cbrt (+ x 4)) (cbrt (+ x 4))) (/ y (cbrt (+ x 4))))
130.0ms	(/ y (cbrt (+ x 4)))
82.0ms	(* (cbrt (+ x 4)) (cbrt (+ x 4)))
48.0ms	(* (/ x y) z)

simplify926.0ms

Counts

224 → 224

Iterations

Iter	Nodes
2	2625
1	888
0	342

prune2.8s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes240.0ms

Accuracy

94.1% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.6b

bsearch162.0ms

Steps

Iters	Range		Point
10	7.101228369635622e-07	50016.8179159125	0.0008878148310546238
8	-3.031846415249857e+28	-3.149170143190375e+25	-9.542881099659083e+25

simplify6.0ms

Iterations

Iter	Nodes
2	26
1	26
0	20

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.4s

10136×

body

valid