Details

sample63.0ms

Algorithm

intervals

Results

44.0ms

324×

body

valid

simplify91.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	54
7	54
6	51
5	48
4	42
3	35
2	29
1	16
0	10

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize23.0ms

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)

rewrite72.0ms

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:

14.0ms	(/ (+ x 4) y)
48.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
9.0ms	(* (/ x y) z)

series121.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ (+ x 4) y)
58.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
31.0ms	(* (/ x y) z)

simplify1.2s

Counts

91 → 91

Iterations

Iter	Nodes
3	3330
2	1059
1	356
0	145

prune913.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize48.0ms

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)

rewrite69.0ms

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/` `insert-posit16` `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 → 216

Calls

4 calls:

19.0ms	(/ (* (cbrt (+ x 4)) (cbrt (+ x 4))) (/ y (cbrt (+ x 4))))
15.0ms	(/ y (cbrt (+ x 4)))
21.0ms	(* (cbrt (+ x 4)) (cbrt (+ x 4)))
9.0ms	(* (/ x y) z)

series270.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ (* (cbrt (+ x 4)) (cbrt (+ x 4))) (/ y (cbrt (+ x 4))))
120.0ms	(/ y (cbrt (+ x 4)))
87.0ms	(* (cbrt (+ x 4)) (cbrt (+ x 4)))
34.0ms	(* (/ x y) z)

simplify1.1s

Counts

228 → 228

Iterations

Iter	Nodes
2	2722
1	883
0	346

prune2.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

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))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
22×	`times-frac`
20×	`add-cube-cbrt`
13×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `add-log-exp`
4×	`distribute-lft-out` `associate-/l*`
3×	`associate-/r` `associate-l` `associate-r/` `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:

26.0ms	(/ (+ x 4) y)
44.0ms	(- (/ (+ x 4) y) (* x (/ z y)))
9.0ms	(* x (/ z y))

series140.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (+ x 4) y)
63.0ms	(- (/ (+ x 4) y) (* x (/ z y)))
30.0ms	(* x (/ z y))

simplify912.0ms

Counts

91 → 91

Iterations

Iter	Nodes
3	3000
2	1010
1	361
0	145

prune849.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize35.0ms

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))

rewrite55.0ms

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×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `associate-*r/`
2×	`pow1/3` `*-commutative`
1×	`div-inv`

Counts

4 → 90

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
37.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ z y)))
16.0ms	(* (cbrt x) (/ z y))

series763.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(cbrt x)
314.0ms	(cbrt x)
54.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ z y)))
131.0ms	(* (cbrt x) (/ z y))

simplify1.0s

Counts

102 → 102

Iterations

Iter	Nodes
3	3926
2	1077
1	341
0	124

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes456.0ms

Accuracy

84.2% (0.4b remaining)

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

bsearch127.0ms

Steps

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

simplify4.0ms

Iterations

Iter	Nodes
2	26
1	26
0	20

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.2s

10082×

body

valid