Details

sample43.0ms

Algorithm

intervals

Results

19.0ms

265×

body

valid

simplify838.0ms

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: 24.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.0b	(* z (- t a))
0.7b	(+ (* x y) (* z (- t a)))
23.5b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite95.0ms

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:

21.0ms	(* z (- b y))
26.0ms	(* z (- t a))
10.0ms	(+ (* x y) (* z (- t a)))
35.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series584.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* z (- b y))
53.0ms	(* z (- t a))
65.0ms	(+ (* x y) (* z (- t a)))
425.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify797.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (210.0ms)

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

prune357.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 23.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.7b	(/ 1 (+ y (* z (- b y))))
0.7b	(+ (* x y) (* z (- t a)))
23.4b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite126.0ms

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:

31.0ms	(* z (- t a))
15.0ms	(/ 1 (+ y (* z (- b y))))
15.0ms	(+ (* x y) (* z (- t a)))
59.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series591.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* z (- t a))
93.0ms	(/ 1 (+ y (* z (- b y))))
53.0ms	(+ (* x y) (* z (- t a)))
391.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify2.3s

Counts

128 → 128

Iterations

Useful iterations: done (2.3s)

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

prune465.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 23.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- b y))
0.6b	(cbrt (- b y))
0.7b	(+ (* x y) (* z (- t a)))
23.5b	(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

4.0ms	(cbrt (- b y))
8.0ms	(cbrt (- b y))
10.0ms	(+ (* x y) (* z (- t a)))
33.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

series887.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt (- b y))
181.0ms	(cbrt (- b y))
68.0ms	(+ (* x y) (* z (- t a)))
454.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

simplify774.0ms

Counts

88 → 88

Iterations

Useful iterations: done (771.0ms)

Iter	Nodes	Cost
0	157	1966
1	387	1936
2	1409	1320
done	5000	1300

prune476.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 23.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.2b	(/ 1 (/ (+ (* (- b y) z) y) (+ (* x y) (* z (- t a)))))
0.7b	(+ (* x y) (* z (- t a)))
23.5b	(/ (+ (* (- b y) z) y) (+ (* x y) (* z (- t a))))

rewrite156.0ms

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:

26.0ms	(* z (- t a))
43.0ms	(/ 1 (/ (+ (* (- b y) z) y) (+ (* x y) (* z (- t a)))))
10.0ms	(+ (* x y) (* z (- t a)))
71.0ms	(/ (+ (* (- b y) z) y) (+ (* x y) (* z (- t a))))

series2.5s

Counts

4 → 12

Calls

4 calls:

63.0ms	(* z (- t a))
2.2s	(/ 1 (/ (+ (* (- b y) z) y) (+ (* x y) (* z (- t a)))))
52.0ms	(+ (* x y) (* z (- t a)))
235.0ms	(/ (+ (* (- b y) z) y) (+ (* x y) (* z (- t a))))

simplify2.3s

Counts

168 → 168

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	244	4181
1	645	3905
2	3548	3693
done	5001	3564

prune551.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 10.4b

regimes751.0ms

Accuracy

66.9% (4.1b remaining)

Error of 15.0b against oracle of 10.9b and baseline of 23.4b

bsearch2.0ms

simplify10.0ms

Iterations

Useful iterations: done (10.0ms)

Iter	Nodes	Cost
0	29	129
1	37	123
2	40	107
3	43	107
done	43	106

end0.0ms

sample1.4s

Algorithm

intervals

Results

811.0ms

8419×

body

valid