Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

312×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	29	6
2	38	6
3	45	6
4	51	6
5	54	6
6	54	6
done	54	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
3.0b	(* (/ x y) z)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
22×	`times-frac`
20×	`add-cube-cbrt`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`distribute-lft-out` `associate-/l*`
3×	`associate-r` `associate-l/` `associate-/r`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `*-commutative` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

3 → 79

Calls

3 calls:

19.0ms	(/ (+ x 4.0) y)
47.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
17.0ms	(* (/ x y) z)

series97.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ (+ x 4.0) y)
44.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
22.0ms	(* (/ x y) z)

simplify112.0ms

Counts

88 → 88

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	341	425
1	1212	395
2	4978	394
3	5002	394
done	5002	394

prune191.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.3b	(* (/ (cbrt x) y) z)
3.8b	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-exp-log`
35×	`add-cbrt-cube`
33×	`prod-exp`
30×	`add-sqr-sqrt`
29×	`associate-l`
23×	`times-frac`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`cbrt-unprod`
18×	`div-exp`
16×	`cbrt-prod`
11×	`pow1`
10×	`cbrt-undiv`
6×	`1-exp`
4×	`associate-r` `pow-prod-down` `associate-*l/` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`frac-times` `associate-*r/`

Counts

4 → 109

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
17.0ms	(* (/ (cbrt x) y) z)
48.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

series533.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt x)
182.0ms	(cbrt x)
128.0ms	(* (/ (cbrt x) y) z)
46.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

simplify61.0ms

Counts

121 → 121

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	473	757
1	2306	591
2	5001	518
done	5001	518

prune298.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

3.8b	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))
10.2b	(cbrt (* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z)))
10.2b	(cbrt (* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z)))
10.2b	(cbrt (* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z)))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-exp-log`
31×	`prod-exp` `add-cbrt-cube`
18×	`cbrt-unprod`
17×	`div-exp`
12×	`associate-*l/`
9×	`pow1` `cbrt-undiv` `cbrt-div`
7×	`associate-l`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `1-exp`
4×	`frac-times` `associate-*r/` `add-log-exp`
3×	`cbrt-prod` `times-frac` `pow1/3` `pow-prod-down`
1×	`associate-r` `*-commutative` `div-inv`

Counts

4 → 81

Calls

4 calls:

46.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))
36.0ms	(cbrt (* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z)))
58.0ms	(cbrt (* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z)))
55.0ms	(cbrt (* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z)))

series302.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))
85.0ms	(cbrt (* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z)))
81.0ms	(cbrt (* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z)))
85.0ms	(cbrt (* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z)))

simplify52.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	410	948
1	1922	758
2	5001	634
done	5001	634

prune418.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x 4.0) (* x z))
3.4b	(/ (- (+ x 4.0) (* x z)) y)

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

37.0ms	(- (+ x 4.0) (* x z))
66.0ms	(/ (- (+ x 4.0) (* x z)) y)

series70.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(- (+ x 4.0) (* x z))
49.0ms	(/ (- (+ x 4.0) (* x z)) y)

simplify82.0ms

Counts

50 → 50

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	206	339
1	735	314
2	3242	314
3	5001	314
done	5001	314

prune103.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes191.0ms

Accuracy

90.8% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.7b

bsearch2.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	21
1	26	21
done	26	21

end0.0ms

sample572.0ms

Algorithm

intervals

Results

285.0ms

10092×

body

valid