Details

sample44.0ms

Algorithm

intervals

Results

18.0ms

271×

body

valid

simplify885.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	23	17
2	37	17
3	65	17
4	102	17
5	138	17
6	164	17
7	233	17
8	515	17
9	1414	17
done	5000	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.0b	(* z (- t a))
1.0b	(+ (* x y) (* z (- t a)))
22.7b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

27.0ms	(* z (- b y))
21.0ms	(* z (- t a))
10.0ms	(+ (* x y) (* z (- t a)))
63.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series594.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* z (- b y))
45.0ms	(* z (- t a))
49.0ms	(+ (* x y) (* z (- t a)))
451.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify828.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (227.0ms)

Iter	Nodes	Cost
0	169	1522
1	428	1458
2	1607	1348
done	5000	1348

prune382.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 22.8b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.3b	(/ 1 (+ y (* z (- b y))))
1.0b	(+ (* x y) (* z (- t a)))
22.4b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

30.0ms	(* z (- t a))
14.0ms	(/ 1 (+ y (* z (- b y))))
12.0ms	(+ (* x y) (* z (- t a)))
58.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series609.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* z (- t a))
114.0ms	(/ 1 (+ y (* z (- b y))))
55.0ms	(+ (* x y) (* z (- t a)))
397.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify2.2s

Counts

128 → 128

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	174	2024
1	483	1883
2	2818	1662
done	5001	1656

prune420.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 22.8b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.4b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
1.0b	(+ (* x y) (* z (- t a)))
22.5b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 156

Calls

4 calls:

21.0ms	(* z (- t a))
27.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
10.0ms	(+ (* x y) (* z (- t a)))
33.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.7s

Counts

4 → 12

Calls

4 calls:

57.0ms	(* z (- t a))
1.2s	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
72.0ms	(+ (* x y) (* z (- t a)))
374.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify1.7s

Counts

168 → 168

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	241	4169
1	640	3889
2	3560	3642
done	5001	3638

prune413.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 22.8b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- b y))
0.5b	(* (cbrt (- b y)) (cbrt (- b y)))
1.0b	(+ (* x y) (* z (- t a)))
22.7b	(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
33×	`cbrt-prod`
21×	`add-cube-cbrt`
14×	`cbrt-div`
11×	`pow1`
10×	`swap-sqr`
9×	`times-frac`
8×	`add-exp-log` `associate-r` `associate-l`
7×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
6×	`add-cbrt-cube` `add-log-exp`
5×	`difference-of-squares`
4×	`frac-times` `associate-+r+` `unswap-sqr`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `pow-prod-down` `associate-l/` `associate-/r/` `pow-sqr` `pow-prod-up` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `pow2` `frac-2neg` `pow-plus` `div-exp` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 117

Calls

4 calls:

7.0ms	(cbrt (- b y))
65.0ms	(* (cbrt (- b y)) (cbrt (- b y)))
16.0ms	(+ (* x y) (* z (- t a)))
55.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

series930.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(cbrt (- b y))
199.0ms	(* (cbrt (- b y)) (cbrt (- b y)))
72.0ms	(+ (* x y) (* z (- t a)))
461.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

simplify1.3s

Counts

129 → 129

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	218	2606
1	529	2489
2	2126	1850
done	5000	1829

prune663.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 22.8b

regimes802.0ms

Accuracy

0% (0.7b remaining)

Error of 22.3b against oracle of 21.6b and baseline of 22.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	19
1	24	19
done	24	19

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.2s

8425×

body

valid