Details

sample37.0ms

Algorithm

intervals

Results

10.0ms

335×

body

valid

simplify7.8s

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
8.8b	(* (/ x y) (- z t))

rewrite84.0ms

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:

33.0ms	(+ (* (/ x y) (- z t)) t)
48.0ms	(* (/ x y) (- z t))

series203.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(+ (* (/ x y) (- z t)) t)
109.0ms	(* (/ x y) (- z t))

simplify6.3s

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
3	4268
2	1052
1	330
0	124

prune858.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
1.9b	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
7.0b	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite542.0ms

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-div`
98×	`frac-times`
68×	`flip3--` `flip--`
50×	`associate-*r/`
37×	`associate-*l/`
34×	`add-exp-log`
24×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cbrt-cube`
18×	`pow1`
17×	`prod-exp` `cbrt-unprod`
15×	`cbrt-prod` `add-cube-cbrt`
14×	`associate-l`
10×	`times-frac`
9×	`associate-r` `pow-prod-down`
4×	`cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative` `unswap-sqr`
1×	`div-inv`

Counts

4 → 168

Calls

4 calls:

13.0ms	(cbrt (- z t))
12.0ms	(cbrt (- z t))
383.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
102.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series970.0ms

Counts

4 → 12

Calls

4 calls:

357.0ms	(cbrt (- z t))
291.0ms	(cbrt (- z t))
85.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
237.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

simplify3.6s

Counts

180 → 180

Iterations

Iter	Nodes
done	5000
2	2139
1	793
0	299

prune2.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

1.4b	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
13.5b	(cbrt (/ x y))
13.5b	(cbrt (/ x y))
13.5b	(cbrt (/ x y))

rewrite159.0ms

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:

138.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
4.0ms	(cbrt (/ x y))
4.0ms	(cbrt (/ x y))
4.0ms	(cbrt (/ x y))

series552.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
163.0ms	(cbrt (/ x y))
156.0ms	(cbrt (/ x y))
134.0ms	(cbrt (/ x y))

simplify2.9s

Counts

135 → 135

Iterations

Iter	Nodes
done	5000
2	1392
1	479
0	180

prune1.8s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize51.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x (- z t)) y) t)
0.0b	(* x (- z t))
3.8b	(/ (* x (- z t)) y)

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

45.0ms	(+ (/ (* x (- z t)) y) t)
29.0ms	(* x (- z t))
47.0ms	(/ (* x (- z t)) y)

series241.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ (/ (* x (- z t)) y) t)
55.0ms	(* x (- z t))
113.0ms	(/ (* x (- z t)) y)

simplify6.2s

Counts

73 → 73

Iterations

Iter	Nodes
done	5007
3	3960
2	899
1	310
0	118

prune923.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes1.9s

Accuracy

-22.6% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 2.3b

bsearch156.0ms

Steps

Iters	Range		Point
9	3.7504701647647255e+77	4.1888210936971656e+85	3.8109175992763017e+77
8	-8.716081075015043e+209	-1.2766124901423475e+206	-1.2142764963497153e+208

simplify8.0ms

Iterations

Iter	Nodes
done	26
1	26
0	20

end0.0ms

sample1.5s

Algorithm

intervals

Results

517.0ms

10715×

body

valid