Details

sample36.0ms

Algorithm

intervals

Results

17.0ms

359×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
13	3308
12	2041
11	1149
10	682
9	352
8	198
7	153
6	134
5	109
4	72
3	40
2	23
1	14
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (/ (* y (- z x)) t))
7.3b	(/ (* y (- z x)) t)

rewrite57.0ms

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:

26.0ms	(* y (- z x))
8.0ms	(+ x (/ (* y (- z x)) t))
23.0ms	(/ (* y (- z x)) t)

series151.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* y (- z x))
51.0ms	(+ x (/ (* y (- z x)) t))
59.0ms	(/ (* y (- z x)) t)

simplify1.8s

Counts

73 → 73

Iterations

Iter	Nodes
done	5034
3	3605
2	874
1	306
0	116

prune297.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
4.3b	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 108

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
43.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series910.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(cbrt t)
300.0ms	(cbrt t)
218.0ms	(cbrt t)
123.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify1.7s

Counts

120 → 120

Iterations

Iter	Nodes
done	5001
2	2095
1	508
0	163

prune590.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ y t) (- z x)) x)
7.2b	(* (/ y t) (- z x))

rewrite33.0ms

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:

13.0ms	(+ (* (/ y t) (- z x)) x)
20.0ms	(* (/ y t) (- z x))

series108.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (* (/ y t) (- z x)) x)
61.0ms	(* (/ y t) (- z x))

simplify2.5s

Counts

65 → 65

Iterations

Iter	Nodes
done	5008
3	4211
2	1036
1	324
0	122

prune297.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* (/ y t) (- z x)) x))
7.2b	(* (/ y t) (- z x))
7.2b	(* (/ y t) (- z x))
7.2b	(* (/ y t) (- z x))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
39×	`associate-l`
35×	`*-un-lft-identity`
30×	`times-frac`
29×	`add-cube-cbrt`
19×	`add-cbrt-cube` `add-exp-log`
15×	`associate-r`
10×	`pow1`
6×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `flip3--` `prod-exp` `associate-*r/` `cbrt-unprod` `flip--` `unswap-sqr`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-prod` `cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-div`
1×	`flip3-+` `pow1/3` `flip-+`

Counts

4 → 143

Calls

4 calls:

10.0ms	(cbrt (+ (* (/ y t) (- z x)) x))
23.0ms	(* (/ y t) (- z x))
39.0ms	(* (/ y t) (- z x))
27.0ms	(* (/ y t) (- z x))

series533.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(cbrt (+ (* (/ y t) (- z x)) x))
99.0ms	(* (/ y t) (- z x))
76.0ms	(* (/ y t) (- z x))
86.0ms	(* (/ y t) (- z x))

simplify2.5s

Counts

155 → 155

Iterations

Iter	Nodes
done	5002
3	4335
2	1125
1	365
0	149

prune814.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes243.0ms

Accuracy

33.3% (1.8b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.8b

bsearch159.0ms

Steps

Iters	Range		Point
9	9.02500824207313e+49	9.872402992073885e+54	1.9712458760545623e+50
10	-5.532978886764296e-254	-5.982906234969489e-270	-5.465265749393871e-262

simplify4.0ms

Iterations

Iter	Nodes
done	27
1	27
0	20

end0.0ms

sample1.0s

Algorithm

intervals

Results

558.0ms

10692×

body

valid