Details

sample55.0ms

Algorithm

intervals

Results

24.0ms

333×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	31	9
3	57	9
4	95	9
5	130	9
6	161	9
7	186	9
8	398	9
9	1054	9
10	4992	9
done	5000	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
5.7b	(* (/ x y) (- z t))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

16.0ms	(+ (* (/ x y) (- z t)) t)
36.0ms	(* (/ x y) (- z t))

series122.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ (* (/ x y) (- z t)) t)
65.0ms	(* (/ x y) (- z t))

simplify1.4s

Counts

63 → 63

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	120	727
1	322	701
2	1412	649
done	5001	643

prune338.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* z (/ x y)) (* (- t) (/ x y))) t)
0.0b	(+ (* z (/ x y)) (* (- t) (/ x y)))
3.0b	(* (- t) (/ x y))
4.4b	(* z (/ x y))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
26×	`associate-r`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
14×	`add-exp-log` `add-cbrt-cube`
13×	`associate-l`
11×	`add-log-exp`
8×	`pow1`
5×	`distribute-lft-neg-out`
4×	`associate-*r/` `prod-exp` `sum-log` `cbrt-unprod` `unswap-sqr`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`cbrt-undiv` `+-commutative` `associate-+l-` `flip3-+` `div-exp` `unsub-neg` `pow-prod-down` `*-commutative` `flip-+` `div-inv`
1×	`neg-mul-1` `associate-+l+` `distribute-rgt-out` `frac-add` `distribute-lft-out`

Counts

4 → 103

Calls

4 calls:

62.0ms	(+ (+ (* z (/ x y)) (* (- t) (/ x y))) t)
24.0ms	(+ (* z (/ x y)) (* (- t) (/ x y)))
37.0ms	(* (- t) (/ x y))
27.0ms	(* z (/ x y))

series204.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (+ (* z (/ x y)) (* (- t) (/ x y))) t)
72.0ms	(+ (* z (/ x y)) (* (- t) (/ x y)))
46.0ms	(* (- t) (/ x y))
28.0ms	(* z (/ x y))

simplify2.3s

Counts

115 → 115

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	166	1297
1	509	1072
2	3051	970
done	5001	969

prune599.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
3.0b	(* (- t) (/ x y))
3.3b	(* (* z (* (cbrt x) (cbrt x))) (/ (cbrt x) y))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

35×	`associate-r`
34×	`add-sqr-sqrt`
30×	`add-exp-log`
29×	`add-cube-cbrt` `*-un-lft-identity`
28×	`times-frac`
23×	`add-cbrt-cube`
15×	`pow1` `cbrt-prod`
14×	`prod-exp` `cbrt-unprod`
11×	`associate-l`
7×	`pow-prod-down`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`pow1/3` `associate-r/` `-commutative` `div-inv` `unswap-sqr`
1×	`distribute-lft-neg-out` `neg-mul-1`

Counts

4 → 109

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
18.0ms	(* (- t) (/ x y))
91.0ms	(* (* z (* (cbrt x) (cbrt x))) (/ (cbrt x) y))

series591.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(cbrt x)
259.0ms	(cbrt x)
40.0ms	(* (- t) (/ x y))
44.0ms	(* (* z (* (cbrt x) (cbrt x))) (/ (cbrt x) y))

simplify388.0ms

Counts

121 → 121

Iterations

Useful iterations: done (385.0ms)

Iter	Nodes	Cost
0	185	1300
1	618	1236
done	5000	1066

prune686.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
3.0b	(* (- t) (/ x y))
4.4b	(* (/ z (* (cbrt y) (cbrt y))) (/ x (cbrt y)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
38×	`times-frac`
35×	`associate-r`
31×	`add-cube-cbrt` `*-un-lft-identity`
30×	`add-exp-log`
23×	`add-cbrt-cube`
17×	`cbrt-prod` `associate-l`
10×	`prod-exp` `cbrt-unprod`
8×	`pow1` `cbrt-undiv` `div-exp` `unswap-sqr`
4×	`add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `div-inv`
2×	`pow1/3` `associate-r/` `pow-prod-down` `-commutative`
1×	`distribute-lft-neg-out` `frac-times` `neg-mul-1` `associate-*l/`

Counts

4 → 121

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
18.0ms	(* (- t) (/ x y))
52.0ms	(* (/ z (* (cbrt y) (cbrt y))) (/ x (cbrt y)))

series568.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(cbrt y)
221.0ms	(cbrt y)
27.0ms	(* (- t) (/ x y))
57.0ms	(* (/ z (* (cbrt y) (cbrt y))) (/ x (cbrt y)))

simplify2.4s

Counts

133 → 133

Iterations

Useful iterations: 2 (560.0ms)

Iter	Nodes	Cost
0	205	1518
1	673	1454
2	4562	1128
done	5000	1128

prune795.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes525.0ms

Accuracy

26.4% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify11.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	49
1	31	36
2	35	36
3	38	36
done	38	36

end0.0ms

sample1.2s

Algorithm

intervals

Results

514.0ms

10567×

body

valid