Details

sample35.0ms

Algorithm

intervals

Results

17.0ms

268×

body

valid

simplify3.3s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.7b

localize20.0ms

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))))

rewrite431.0ms

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:

320.0ms	(* z (- t a))
34.0ms	(* z (- b y))
16.0ms	(+ (* x y) (* z (- t a)))
58.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series628.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* z (- t a))
49.0ms	(* z (- b y))
68.0ms	(+ (* x y) (* z (- t a)))
466.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify800.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (225.0ms)

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

prune546.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 25.1b

localize21.0ms

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)))))

rewrite102.0ms

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:

21.0ms	(* z (- b y))
13.0ms	(/ 1 (+ y (* z (- b y))))
16.0ms	(+ (* x y) (* z (- t a)))
47.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series675.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* z (- b y))
119.0ms	(/ 1 (+ y (* z (- b y))))
64.0ms	(+ (* x y) (* z (- t a)))
444.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify942.0ms

Counts

128 → 128

Iterations

Useful iterations: 2 (272.0ms)

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

prune407.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 25.1b

localize39.0ms

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:

10.0ms	(cbrt (* z (- t a)))
7.0ms	(cbrt (* z (- t a)))
7.0ms	(cbrt (* z (- t a)))
36.0ms	(/ (+ (* x y) (* (* (cbrt (* z (- t a))) (cbrt (* z (- t a)))) (cbrt (* z (- t a))))) (+ y (* z (- b y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

220.0ms	(cbrt (* z (- t a)))
214.0ms	(cbrt (* z (- t a)))
214.0ms	(cbrt (* z (- t a)))
492.0ms	(/ (+ (* x y) (* (* (cbrt (* z (- t a))) (cbrt (* z (- t a)))) (cbrt (* z (- t a))))) (+ y (* z (- b y))))

simplify1.7s

Counts

76 → 76

Iterations

Useful iterations: done (1.6s)

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

prune489.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 25.1b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

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:

70.0ms	(/ (cbrt (+ (* z (- t a)) (* x y))) (+ (* z (- b y)) y))
20.0ms	(cbrt (+ (* z (- t a)) (* x y)))
19.0ms	(cbrt (+ (* z (- t a)) (* x y)))
20.0ms	(cbrt (+ (* z (- t a)) (* x y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

402.0ms	(/ (cbrt (+ (* z (- t a)) (* x y))) (+ (* z (- b y)) y))
220.0ms	(cbrt (+ (* z (- t a)) (* x y)))
238.0ms	(cbrt (+ (* z (- t a)) (* x y)))
216.0ms	(cbrt (+ (* z (- t a)) (* x y)))

simplify1.9s

Counts

94 → 94

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	147	2299
1	353	2244
2	962	2110
3	3036	2030
done	5001	1988

prune492.0ms

Pruning

14 alts after pruning (10 fresh and 4 done)

Merged error: 25.1b

regimes775.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample1.2s

Algorithm

intervals

Results

824.0ms

8418×

body

valid