Details

sample53.0ms

Algorithm

intervals

Results

22.0ms

268×

body

valid

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	17
1	23	17
2	37	17
3	65	17
4	87	17
5	101	17
6	125	17
7	194	17
8	328	17
9	596	17
10	1292	17
11	3696	17
done	5001	17

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
1.7b	(+ (* x y) (* z (- t a)))
25.0b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite154.0ms

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:

36.0ms	(* z (- t a))
36.0ms	(* z (- b y))
16.0ms	(+ (* x y) (* z (- t a)))
60.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series643.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* z (- t a))
39.0ms	(* z (- b y))
66.0ms	(+ (* x y) (* z (- t a)))
496.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify951.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (194.0ms)

Iter	Nodes	Cost
0	169	1522
1	402	1458
2	1292	1348
done	5000	1348

prune463.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 25.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.6b	(/ 1 (+ y (* z (- b y))))
1.7b	(+ (* x y) (* z (- t a)))
24.9b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite120.0ms

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:

22.0ms	(* z (- b y))
15.0ms	(/ 1 (+ y (* z (- b y))))
22.0ms	(+ (* x y) (* z (- t a)))
57.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series671.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* z (- b y))
127.0ms	(/ 1 (+ y (* z (- b y))))
60.0ms	(+ (* x y) (* z (- t a)))
434.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify924.0ms

Counts

128 → 128

Iterations

Useful iterations: 2 (279.0ms)

Iter	Nodes	Cost
0	176	2024
1	443	1842
2	1477	1656
done	5000	1656

prune385.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 25.1b

localize22.0ms

Local error

Found 4 expressions with local error:

16.7b	(cbrt (* z (- t a)))
16.7b	(cbrt (* z (- t a)))
16.7b	(cbrt (* z (- t a)))
25.0b	(/ (+ (* x y) (* (* (cbrt (* z (- t a))) (cbrt (* z (- t a)))) (cbrt (* z (- t a))))) (+ y (* z (- b y))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `cbrt-div` `associate-*r/` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`cbrt-prod` `flip3--` `pow1/3` `associate-/r` `flip--` `associate-/l`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 64

Calls

4 calls:

12.0ms	(cbrt (* z (- t a)))
7.0ms	(cbrt (* z (- t a)))
7.0ms	(cbrt (* z (- t a)))
35.0ms	(/ (+ (* x y) (* (* (cbrt (* z (- t a))) (cbrt (* z (- t a)))) (cbrt (* z (- t a))))) (+ y (* z (- b y))))

series989.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(cbrt (* z (- t a)))
178.0ms	(cbrt (* z (- t a)))
175.0ms	(cbrt (* z (- t a)))
442.0ms	(/ (+ (* x y) (* (* (cbrt (* z (- t a))) (cbrt (* z (- t a)))) (cbrt (* z (- t a))))) (+ y (* z (- b y))))

simplify1.8s

Counts

76 → 76

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	131	2005
1	321	1963
2	963	1304
3	3261	1156
done	5001	1120

prune431.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 25.1b

localize19.0ms

Local error

Found 4 expressions with local error:

9.9b	(/ (cbrt (+ (* x y) (* z (- t a)))) (+ (* z (- b y)) y))
20.5b	(cbrt (+ (* x y) (* z (- t a))))
20.5b	(cbrt (+ (* x y) (* z (- t a))))
20.5b	(cbrt (+ (* x y) (* z (- t a))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`cbrt-prod`
18×	`times-frac`
8×	`cbrt-div`
6×	`add-exp-log` `associate-/l*`
5×	`flip3-+` `add-cbrt-cube` `flip-+`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/r*`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 82

Calls

4 calls:

41.0ms	(/ (cbrt (+ (* x y) (* z (- t a)))) (+ (* z (- b y)) y))
5.0ms	(cbrt (+ (* x y) (* z (- t a))))
5.0ms	(cbrt (+ (* x y) (* z (- t a))))
5.0ms	(cbrt (+ (* x y) (* z (- t a))))

series953.0ms

Counts

4 → 12

Calls

4 calls:

307.0ms	(/ (cbrt (+ (* x y) (* z (- t a)))) (+ (* z (- b y)) y))
223.0ms	(cbrt (+ (* x y) (* z (- t a))))
215.0ms	(cbrt (+ (* x y) (* z (- t a))))
208.0ms	(cbrt (+ (* x y) (* z (- t a))))

simplify1.6s

Counts

94 → 94

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	138	2214
1	323	2157
2	887	2038
3	2957	2019
done	5001	1989

prune701.0ms

Pruning

13 alts after pruning (9 fresh and 4 done)

Merged error: 25.1b

regimes479.0ms

Accuracy

0% (0.6b remaining)

Error of 22.9b against oracle of 22.3b and baseline of 22.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	19	17
done	19	17

end0.0ms

sample1.2s

Algorithm

intervals

Results

678.0ms

8418×

body

valid