Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

317×

body

valid

simplify4.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	22	9
2	43	9
3	106	9
4	187	9
5	267	9
6	376	9
7	825	9
8	4488	9
done	5001	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
11.7b	(/ (* x (+ (- y z) 1.0)) z)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `distribute-lft-out` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 47

Calls

2 calls:

42.0ms	(* x (+ (- y z) 1.0))
19.0ms	(/ (* x (+ (- y z) 1.0)) z)

series71.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* x (+ (- y z) 1.0))
40.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify1.7s

Counts

53 → 53

Iterations

Useful iterations: 3 (720.0ms)

Iter	Nodes	Cost
0	94	609
1	254	593
2	821	499
3	4083	485
done	5000	485

prune98.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (/ x z) (+ 1.0 y)) x)
3.3b	(* (/ x z) (+ 1.0 y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

10.0ms	(- (* (/ x z) (+ 1.0 y)) x)
15.0ms	(* (/ x z) (+ 1.0 y))

series77.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(- (* (/ x z) (+ 1.0 y)) x)
39.0ms	(* (/ x z) (+ 1.0 y))

simplify2.1s

Counts

59 → 59

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	114	680
1	365	628
2	1115	582
3	4430	576
done	5000	576

prune122.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- y z) 1.0) z)
3.0b	(* x (/ (+ (- y z) 1.0) z))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
31×	`times-frac`
27×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
19×	`associate-r`
14×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`associate-+l-` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip-+`

Counts

2 → 76

Calls

2 calls:

35.0ms	(/ (+ (- y z) 1.0) z)
48.0ms	(* x (/ (+ (- y z) 1.0) z))

series66.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (+ (- y z) 1.0) z)
40.0ms	(* x (/ (+ (- y z) 1.0) z))

simplify1.6s

Counts

82 → 82

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	107	1003
1	268	955
2	744	867
3	2691	847
done	5000	846

prune129.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z 1.0) z)
0.0b	(- (/ y z) (/ (- z 1.0) z))
3.0b	(* x (- (/ y z) (/ (- z 1.0) z)))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
57×	`add-sqr-sqrt`
47×	`times-frac`
24×	`distribute-lft-out--`
23×	`add-cube-cbrt`
15×	`associate-r`
12×	`difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
4×	`div-sub` `associate-*r/`
3×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate-l` `associate-/r*` `flip--` `associate--r-`
2×	`distribute-rgt-out--` `frac-sub` `associate-/l/` `sub-div`
1×	`cbrt-undiv` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 105

Calls

3 calls:

8.0ms	(/ (- z 1.0) z)
26.0ms	(- (/ y z) (/ (- z 1.0) z))
97.0ms	(* x (- (/ y z) (/ (- z 1.0) z)))

series102.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (- z 1.0) z)
17.0ms	(- (/ y z) (/ (- z 1.0) z))
41.0ms	(* x (- (/ y z) (/ (- z 1.0) z)))

simplify1.3s

Counts

114 → 114

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	164	1381
1	385	1318
2	850	1223
3	2483	1191
done	5001	1184

prune209.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes62.0ms

Accuracy

61.8% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.4b

bsearch62.0ms

Steps

Iters	Range		Point
5	9.519812131773987e-194	1.9845217767196287e-193	1.5249655170051624e-193
10	-6.994196683941643e-239	-4.623060837562868e-253	-3.9021083944700275e-239

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	20	37
1	29	29
done	29	29

end0.0ms

sample474.0ms

Algorithm

intervals

Results

257.0ms

10098×

body

valid