Details

sample50.0ms

Algorithm

intervals

Results

23.0ms

332×

body

valid

simplify80.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	16	12
2	29	12
3	38	12
4	45	12
5	51	12
6	54	12
done	54	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite119.0ms

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:

21.0ms	(/ (+ x 4.0) y)
80.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
15.0ms	(* (/ x y) z)

series148.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ (+ x 4.0) y)
73.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
37.0ms	(* (/ x y) z)

simplify1.0s

Counts

88 → 88

Iterations

Useful iterations: 2 (307.0ms)

Iter	Nodes	Cost
0	142	904
1	351	859
2	1679	785
done	5002	785

prune370.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.0b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
9×	`pow1` `cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`associate-l`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`frac-times` `times-frac` `associate-r/` `associate-r` `-commutative` `div-inv`

Counts

4 → 82

Calls

4 calls:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)
115.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

series894.0ms

Counts

4 → 12

Calls

4 calls:

317.0ms	(cbrt x)
310.0ms	(cbrt x)
241.0ms	(cbrt x)
26.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify1.8s

Counts

94 → 94

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	121	1600
1	427	1534
2	2495	824
done	5002	509

prune704.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite337.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`times-frac`
13×	`add-cube-cbrt` `associate-l`
10×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`associate-*l/` `distribute-lft-out`
3×	`associate-r` `frac-sub` `div-inv`
2×	`flip3-+` `diff-log` `frac-add` `prod-exp` `sum-log` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `distribute-rgt-out` `flip3--` `div-exp` `pow-prod-down` `associate--l+` `*-commutative` `flip--`

Counts

3 → 66

Calls

3 calls:

33.0ms	(+ (/ 4.0 y) (/ x y))
283.0ms	(- (+ (/ 4.0 y) (/ x y)) (* (/ x y) z))
15.0ms	(* (/ x y) z)

series148.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ (/ 4.0 y) (/ x y))
61.0ms	(- (+ (/ 4.0 y) (/ x y)) (* (/ x y) z))
39.0ms	(* (/ x y) z)

simplify1.4s

Counts

75 → 75

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	132	939
1	345	882
2	1745	784
done	5001	782

prune241.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

3.4b	(* (/ x y) z)
14.9b	(cbrt (* (/ x y) z))
14.9b	(cbrt (* (/ x y) z))
14.9b	(cbrt (* (/ x y) z))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

24.0ms	(* (/ x y) z)
6.0ms	(cbrt (* (/ x y) z))
9.0ms	(cbrt (* (/ x y) z))
13.0ms	(cbrt (* (/ x y) z))

series384.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (/ x y) z)
130.0ms	(cbrt (* (/ x y) z))
109.0ms	(cbrt (* (/ x y) z))
111.0ms	(cbrt (* (/ x y) z))

simplify563.0ms

Counts

74 → 74

Iterations

Useful iterations: done (561.0ms)

Iter	Nodes	Cost
0	101	651
1	222	634
2	940	564
done	5000	518

prune266.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	26
1	19	26
done	19	26

end0.0ms

sample1.0s

Algorithm

intervals

Results

621.0ms

10181×

body

valid