Details

sample28.0ms

Algorithm

intervals

Results

14.0ms

351×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
11	3881
10	1313
9	507
8	252
7	161
6	132
5	111
4	87
3	55
2	31
1	14
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
7.0b	(* (/ x y) (- z t))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity`
10×	`times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate-r`
4×	`distribute-rgt-in` `pow1` `associate-+l+` `sub-neg` `distribute-lft-in` `add-log-exp`
2×	`frac-times` `flip3--` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `flip--` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 59

Calls

2 calls:

23.0ms	(+ (* (/ x y) (- z t)) t)
58.0ms	(* (/ x y) (- z t))

series106.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (* (/ x y) (- z t)) t)
63.0ms	(* (/ x y) (- z t))

simplify2.2s

Counts

65 → 65

Iterations

Iter	Nodes
done	5002
3	4374
2	1068
1	330
0	124

prune229.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
12.4b	(cbrt (/ x y))
12.4b	(cbrt (/ x y))
12.4b	(cbrt (/ x y))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod` `cbrt-div`
29×	`frac-times`
27×	`times-frac`
25×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
19×	`associate-*r/`
16×	`pow1` `add-exp-log`
13×	`associate-*l/`
10×	`add-cbrt-cube`
8×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip--`
4×	`sub-neg` `insert-posit16` `add-log-exp`
3×	`pow1/3` `div-inv`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 123

Calls

4 calls:

78.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
3.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))

series300.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
67.0ms	(cbrt (/ x y))
79.0ms	(cbrt (/ x y))
72.0ms	(cbrt (/ x y))

simplify1.5s

Counts

135 → 135

Iterations

Iter	Nodes
done	5000
2	1371
1	476
0	180

prune738.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
2.3b	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))
2.6b	(* (/ (cbrt x) y) (- z t))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-exp-log`
35×	`add-cbrt-cube`
33×	`prod-exp`
32×	`add-sqr-sqrt`
29×	`associate-l`
24×	`*-un-lft-identity`
23×	`times-frac`
22×	`add-cube-cbrt`
20×	`cbrt-unprod`
18×	`div-exp`
16×	`cbrt-prod`
11×	`frac-times` `pow1` `associate-*r/`
10×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in`
6×	`sub-neg` `flip3--` `1-exp` `associate-r` `flip--`
4×	`pow-prod-down` `associate-*l/` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 139

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
93.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))
37.0ms	(* (/ (cbrt x) y) (- z t))

series914.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(cbrt x)
276.0ms	(cbrt x)
136.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))
261.0ms	(* (/ (cbrt x) y) (- z t))

simplify1.7s

Counts

151 → 151

Iterations

Iter	Nodes
done	5001
2	2310
1	689
0	227

prune617.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) y)
0.0b	(+ (* x (/ (- z t) y)) t)
5.5b	(* x (/ (- z t) y))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*` `add-log-exp`
3×	`associate-/r` `associate-l*` `insert-posit16`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `flip3--` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+` `flip--`

Counts

3 → 90

Calls

3 calls:

26.0ms	(/ (- z t) y)
19.0ms	(+ (* x (/ (- z t) y)) t)
38.0ms	(* x (/ (- z t) y))

series169.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ (- z t) y)
58.0ms	(+ (* x (/ (- z t) y)) t)
70.0ms	(* x (/ (- z t) y))

simplify999.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	5002
2	1142
1	365
0	142

prune391.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes337.0ms

Accuracy

0% (1.9b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

879.0ms

10685×

body

valid