Details

sample51.0ms

Algorithm

intervals

Results

21.0ms

337×

body

valid

simplify5.3s

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	89	9
5	114	9
6	133	9
7	154	9
8	190	9
9	245	9
10	273	9
11	300	9
12	341	9
13	354	9
14	370	9
15	386	9
16	473	9
17	564	9
18	812	9
19	1138	9
20	1568	9
21	1651	9
22	1656	9
done	1656	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
8.6b	(* (/ x y) (- z t))

rewrite55.0ms

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:

18.0ms	(+ (* (/ x y) (- z t)) t)
35.0ms	(* (/ x y) (- z t))

series95.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* (/ x y) (- z t)) t)
59.0ms	(* (/ x y) (- z t))

simplify2.4s

Counts

63 → 63

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	120	727
1	314	701
2	980	625
3	3598	619
done	5001	619

prune193.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z (/ x y)) (- t (* t (/ x y))))
0.0b	(- t (* t (/ x y)))
5.7b	(* t (/ x y))
7.0b	(* z (/ x y))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
26×	`associate-r`
20×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
8×	`pow1`
6×	`associate-l`
4×	`associate-*r/` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-undiv` `sub-neg` `associate-+r+` `flip3--` `diff-log` `div-exp` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip--` `div-inv`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip-+`

Counts

4 → 93

Calls

4 calls:

27.0ms	(+ (* z (/ x y)) (- t (* t (/ x y))))
5.0ms	(- t (* t (/ x y)))
16.0ms	(* t (/ x y))
20.0ms	(* z (/ x y))

series144.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (* z (/ x y)) (- t (* t (/ x y))))
46.0ms	(- t (* t (/ x y)))
27.0ms	(* t (/ x y))
22.0ms	(* z (/ x y))

simplify1.2s

Counts

105 → 105

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	156	1165
1	418	1063
2	1375	959
done	5001	917

prune351.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 1 1) (/ (- z t) (/ y x))) t)
8.7b	(/ (- z t) (/ y x))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
86×	`add-sqr-sqrt` `*-un-lft-identity`
58×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `associate-/l/`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `div-sub` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+`

Counts

2 → 112

Calls

2 calls:

38.0ms	(+ (* (/ 1 1) (/ (- z t) (/ y x))) t)
41.0ms	(/ (- z t) (/ y x))

series107.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* (/ 1 1) (/ (- z t) (/ y x))) t)
65.0ms	(/ (- z t) (/ y x))

simplify1.6s

Counts

118 → 118

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	219	1952
1	606	1806
2	1866	1670
done	5000	1662

prune335.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ 1 1) (/ 1 (/ (/ y (- z t)) x))) t)
0.0b	(/ y (- z t))
0.2b	(/ 1 (/ (/ y (- z t)) x))
6.2b	(/ (/ y (- z t)) x)

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

771×	`times-frac`
440×	`add-sqr-sqrt` `*-un-lft-identity`
336×	`add-cube-cbrt`
75×	`associate-/r*`
52×	`distribute-lft-out--` `difference-of-squares`
35×	`associate-/r/`
32×	`add-exp-log`
27×	`associate-/l*`
23×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp`
17×	`flip3--` `flip--`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `inv-pow`

Counts

4 → 446

Calls

4 calls:

51.0ms	(+ (* (/ 1 1) (/ 1 (/ (/ y (- z t)) x))) t)
17.0ms	(/ y (- z t))
48.0ms	(/ 1 (/ (/ y (- z t)) x))
30.0ms	(/ (/ y (- z t)) x)

series245.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* (/ 1 1) (/ 1 (/ (/ y (- z t)) x))) t)
39.0ms	(/ y (- z t))
76.0ms	(/ 1 (/ (/ y (- z t)) x))
95.0ms	(/ (/ y (- z t)) x)

simplify1.8s

Counts

458 → 458

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	604	8795
1	1412	7608
2	2874	6726
done	5000	6624

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes195.0ms

Accuracy

20.4% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.0b

bsearch91.0ms

Steps

Iters	Range		Point
10	1.5319929683350882e-65	5.317179122404824e-51	5.25404547574662e-51
9	-3.590335901074318e-90	-7.67348442351211e-96	-3.55427706225547e-90

simplify4.0ms

Iterations

Useful iterations: done (3.0ms)

Iter	Nodes	Cost
0	23	41
1	31	39
done	31	37

end0.0ms

sample1.1s

Algorithm

intervals

Results

516.0ms

10691×

body

valid