Details

sample66.0ms

Algorithm

intervals

Results

48.0ms

316×

body

valid

simplify82.0ms

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4) y)
0.0b	(- (/ (+ x 4) y) (* (/ x y) z))
4.0b	(* (/ x y) z)

rewrite87.0ms

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)
45.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
13.0ms	(* (/ x y) z)

series116.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (+ x 4) y)
53.0ms	(- (/ (+ x 4) y) (* (/ x y) z))
32.0ms	(* (/ x y) z)

simplify2.0s

Counts

91 → 91

Iterations

Iter	Nodes
3	3445
2	1054
1	354
0	145

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
1.5b	(* (/ x (cbrt y)) z)
3.7b	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-exp-log`
46×	`prod-exp`
35×	`add-cbrt-cube`
30×	`add-sqr-sqrt`
29×	`associate-l`
23×	`times-frac`
22×	`*-un-lft-identity` `add-cube-cbrt`
20×	`div-exp` `cbrt-unprod`
16×	`cbrt-prod`
11×	`pow1`
10×	`cbrt-undiv`
6×	`rec-exp` `1-exp`
4×	`associate-r` `pow-prod-down` `associate-*l/` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`frac-times` `associate-*r/`

Counts

4 → 119

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
17.0ms	(* (/ x (cbrt y)) z)
74.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

series809.0ms

Counts

4 → 12

Calls

4 calls:

318.0ms	(cbrt y)
265.0ms	(cbrt y)
162.0ms	(* (/ x (cbrt y)) z)
62.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

simplify4.8s

Counts

131 → 131

Iterations

Iter	Nodes
3	7392
2	1537
1	460
0	173

prune1.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.6b	(cbrt (/ 1 y))
1.5b	(* x (* z (cbrt (/ 1 y))))
3.7b	(* (/ 1 (* (cbrt y) (cbrt y))) (* x (* z (cbrt (/ 1 y)))))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-exp-log`
54×	`prod-exp`
35×	`add-cbrt-cube`
24×	`cbrt-unprod`
18×	`pow1`
16×	`cbrt-prod`
15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac` `div-exp`
10×	`associate-l`
9×	`pow-prod-down`
7×	`associate-*r/`
6×	`cbrt-undiv` `rec-exp` `1-exp`
4×	`cbrt-div` `insert-posit16` `add-log-exp`
2×	`pow1/3` `associate-r` `*-commutative` `div-inv`
1×	`frac-times` `associate-*l/`

Counts

4 → 108

Calls

4 calls:

1.0ms	(cbrt y)
3.0ms	(cbrt (/ 1 y))
31.0ms	(* x (* z (cbrt (/ 1 y))))
104.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* x (* z (cbrt (/ 1 y)))))

series781.0ms

Counts

4 → 12

Calls

4 calls:

300.0ms	(cbrt y)
315.0ms	(cbrt (/ 1 y))
94.0ms	(* x (* z (cbrt (/ 1 y))))
71.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* x (* z (cbrt (/ 1 y)))))

simplify5.8s

Counts

120 → 120

Iterations

Iter	Nodes
3	9189
2	1720
1	462
0	185

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize83.0ms

Local error

Found 4 expressions with local error:

3.7b	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))
12.0b	(cbrt (* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z)))
12.0b	(cbrt (* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z)))
12.0b	(cbrt (* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z)))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-exp-log`
44×	`prod-exp`
31×	`add-cbrt-cube`
19×	`div-exp`
18×	`cbrt-unprod`
12×	`associate-*l/`
9×	`pow1` `cbrt-undiv` `cbrt-div`
7×	`associate-l`
6×	`add-sqr-sqrt` `rec-exp` `*-un-lft-identity` `1-exp` `add-cube-cbrt`
4×	`frac-times` `associate-*r/` `insert-posit16` `add-log-exp`
3×	`cbrt-prod` `times-frac` `pow1/3` `pow-prod-down`
1×	`associate-r` `*-commutative` `div-inv`

Counts

4 → 91

Calls

4 calls:

60.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))
33.0ms	(cbrt (* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z)))
45.0ms	(cbrt (* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z)))
50.0ms	(cbrt (* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z)))

series385.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))
113.0ms	(cbrt (* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z)))
103.0ms	(cbrt (* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z)))
112.0ms	(cbrt (* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z)))

simplify3.0s

Counts

103 → 103

Iterations

Iter	Nodes
3	5997
2	1315
1	390
0	149

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes123.0ms

Accuracy

29.9% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.7b

bsearch80.0ms

Steps

Iters	Range		Point
9	1.333812145858384e-90	3.543466061308676e-83	2.7430283332273266e-83

simplify7.0ms

Iterations

Iter	Nodes
2	29
1	29
0	24

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.4s

10096×

body

valid