Details

sample33.0ms

Algorithm

intervals

Results

14.0ms

320×

body

valid

simplify6.6s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite207.0ms

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:

127.0ms	(* x (+ (- y z) 1.0))
77.0ms	(/ (* x (+ (- y z) 1.0)) z)

series100.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* x (+ (- y z) 1.0))
51.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify3.9s

Counts

57 → 57

Iterations

Useful iterations: 3 (1.5s)

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

prune207.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite73.0ms

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:

23.0ms	(- (* (/ x z) (+ y 1.0)) x)
48.0ms	(* (/ x z) (+ y 1.0))

series128.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(- (* (/ x z) (+ y 1.0)) x)
67.0ms	(* (/ x z) (+ y 1.0))

simplify2.0s

Counts

67 → 67

Iterations

Useful iterations: done (2.0s)

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

prune203.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite270.0ms

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:

118.0ms	(/ (+ (- y z) 1.0) z)
145.0ms	(* x (/ (+ (- y z) 1.0) z))

series119.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (+ (- y z) 1.0) z)
74.0ms	(* x (/ (+ (- y z) 1.0) z))

simplify2.7s

Counts

86 → 86

Iterations

Useful iterations: 3 (1.0s)

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

prune230.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
33×	`prod-diff`
30×	`add-cube-cbrt`
29×	`unpow-prod-down`
15×	`times-frac`
11×	`fma-neg`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `div-inv` `add-log-exp` `sqr-pow`
4×	`associate-r/` `associate-r*`
3×	`expm1-log1p-u` `associate-l` `associate-/r*` `log1p-expm1-u` `difference-of-squares`
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` `diff-log` `pow-prod-down` `clear-num` `-commutative` `flip--` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 112

Calls

3 calls:

58.0ms	(- (pow (/ (* x (+ y 1.0)) z) 1) x)
28.0ms	(* x (+ y 1.0))
41.0ms	(/ (* x (+ y 1.0)) z)

series180.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- (pow (/ (* x (+ y 1.0)) z) 1) x)
54.0ms	(* x (+ y 1.0))
58.0ms	(/ (* x (+ y 1.0)) z)

simplify1.4s

Counts

121 → 121

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	186	2119
1	449	1541
2	1348	1249
done	5000	1169

prune439.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes100.0ms

Accuracy

69.8% (0.5b remaining)

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

bsearch80.0ms

Steps

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

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	19	37
1	27	27
done	27	27

end0.0ms

sample954.0ms

Algorithm

intervals

Results

526.0ms

10146×

body

valid