Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

336×

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	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
6.5b	(* (/ x y) (- z t))

rewrite49.0ms

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:

19.0ms	(+ (* (/ x y) (- z t)) t)
28.0ms	(* (/ x y) (- z t))

series95.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* (/ x y) (- z t)) t)
55.0ms	(* (/ x y) (- z t))

simplify1.9s

Counts

63 → 63

Iterations

Useful iterations: 3 (847.0ms)

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

prune126.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
88×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
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` `div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 114

Calls

2 calls:

39.0ms	(+ t (/ (- z t) (/ y x)))
19.0ms	(/ (- z t) (/ y x))

series87.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ t (/ (- z t) (/ y x)))
49.0ms	(/ (- z t) (/ y x))

simplify937.0ms

Counts

120 → 120

Iterations

Useful iterations: done (934.0ms)

Iter	Nodes	Cost
0	217	1896
1	593	1770
2	1852	1680
done	5000	1678

prune237.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 87

Calls

3 calls:

8.0ms	(+ t (* (/ (- z t) y) x))
15.0ms	(/ (- z t) y)
27.0ms	(* (/ (- z t) y) x)

series113.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ t (* (/ (- z t) y) x))
27.0ms	(/ (- z t) y)
46.0ms	(* (/ (- z t) y) x)

simplify2.1s

Counts

96 → 96

Iterations

Useful iterations: 3 (876.0ms)

Iter	Nodes	Cost
0	138	1033
1	346	984
2	996	916
3	3891	892
done	5000	892

prune183.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x (- z t)) y) t)
0.0b	(* x (- z t))
6.7b	(/ (* x (- z t)) y)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

18.0ms	(+ (/ (* x (- z t)) y) t)
20.0ms	(* x (- z t))
16.0ms	(/ (* x (- z t)) y)

series128.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (/ (* x (- z t)) y) t)
37.0ms	(* x (- z t))
51.0ms	(/ (* x (- z t)) y)

simplify1.7s

Counts

70 → 70

Iterations

Useful iterations: 3 (710.0ms)

Iter	Nodes	Cost
0	113	722
1	288	691
2	824	619
3	3451	589
done	5000	589

prune124.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes122.0ms

Accuracy

-13.8% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 1.9b

bsearch50.0ms

Steps

Iters	Range		Point
9	1.1883218742037433e-197	5.173071754270168e-190	5.190570701136931e-194
5	-4.803352738335604e-171	-2.3840554495506843e-171	-3.00384920107875e-171

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	35
1	25	35
done	25	35

end0.0ms

sample598.0ms

Algorithm

intervals

Results

252.0ms

10549×

body

valid