Details

sample32.0ms

Algorithm

intervals

Results

13.0ms

320×

body

valid

simplify6.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	22	9
2	46	9
3	119	9
4	228	9
5	358	9
6	507	9
7	1008	9
8	3783	9
done	5001	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
10.0b	(/ (* x (+ (- y z) 1.0)) z)

rewrite175.0ms

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` `expm1-log1p-u` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `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 → 51

Calls

2 calls:

111.0ms	(* x (+ (- y z) 1.0))
61.0ms	(/ (* x (+ (- y z) 1.0)) z)

series105.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* x (+ (- y z) 1.0))
59.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify2.6s

Counts

57 → 57

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	98	645
1	262	625
2	923	531
3	4857	520
done	5000	520

prune111.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (/ x z) (+ y 1.0)) x)
5.0b	(* (/ x z) (+ y 1.0))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-l*`
11×	`add-cube-cbrt`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `associate-r` `add-log-exp`
3×	`prod-diff`
2×	`distribute-rgt-in` `expm1-log1p-u` `frac-times` `distribute-lft-in` `flip3-+` `associate-*r/` `prod-exp` `associate--l+` `cbrt-unprod` `flip-+` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `fma-neg` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv` `distribute-lft-out`

Counts

2 → 61

Calls

2 calls:

21.0ms	(- (* (/ x z) (+ y 1.0)) x)
31.0ms	(* (/ x z) (+ y 1.0))

series102.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(- (* (/ x z) (+ y 1.0)) x)
44.0ms	(* (/ x z) (+ y 1.0))

simplify1.4s

Counts

67 → 67

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	133	793
1	411	709
2	1290	654
done	5000	648

prune158.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite168.0ms

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` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 80

Calls

2 calls:

71.0ms	(/ (+ (- y z) 1.0) z)
94.0ms	(* x (/ (+ (- y z) 1.0) z))

series75.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ (+ (- y z) 1.0) z)
45.0ms	(* x (/ (+ (- y z) 1.0) z))

simplify2.1s

Counts

86 → 86

Iterations

Useful iterations: 3 (761.0ms)

Iter	Nodes	Cost
0	111	1039
1	271	987
2	810	899
3	2970	882
done	5000	882

prune164.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (/ 1 1) (/ (* x (+ y 1.0)) z)) x)
0.0b	(* x (+ y 1.0))
3.5b	(/ (* x (+ y 1.0)) z)

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
8×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`associate-r/` `associate-r*`
3×	`expm1-log1p-u` `times-frac` `associate-l` `prod-diff` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `fma-neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `flip--` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 68

Calls

3 calls:

49.0ms	(- (* (/ 1 1) (/ (* x (+ y 1.0)) z)) x)
28.0ms	(* x (+ y 1.0))
21.0ms	(/ (* x (+ y 1.0)) z)

series160.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (* (/ 1 1) (/ (* x (+ y 1.0)) z)) x)
49.0ms	(* x (+ y 1.0))
54.0ms	(/ (* x (+ y 1.0)) z)

simplify3.3s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	133	911
1	342	804
2	1064	672
3	4901	642
done	5000	642

prune223.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes121.0ms

Accuracy

69.6% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.7b

bsearch69.0ms

Steps

Iters	Range		Point
7	2.5400712297185524e+145	9.512232189668787e+146	2.5905380091358057e+145
4	-9.26603679748231e+27	-5.937076841674776e+27	-8.953946801625355e+27

simplify7.0ms

Iterations

Useful iterations: done (7.0ms)

Iter	Nodes	Cost
0	20	39
1	29	29
done	29	27

end0.0ms

sample1.4s

Algorithm

intervals

Results

528.0ms

10146×

body

valid