Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

317×

body

valid

simplify5.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	22	9
2	45	9
3	112	9
4	211	9
5	324	9
6	470	9
7	964	9
8	4758	9
done	5000	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` `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:

44.0ms	(* x (+ (- y z) 1.0))
18.0ms	(/ (* x (+ (- y z) 1.0)) z)

series76.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* x (+ (- y z) 1.0))
41.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify1.8s

Counts

57 → 57

Iterations

Useful iterations: 3 (743.0ms)

Iter	Nodes	Cost
0	98	645
1	262	625
2	862	531
3	4245	520
done	5001	520

prune136.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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:

8.0ms	(- (* (/ x z) (+ 1.0 y)) x)
15.0ms	(* (/ x z) (+ 1.0 y))

series84.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(- (* (/ x z) (+ 1.0 y)) x)
40.0ms	(* (/ x z) (+ 1.0 y))

simplify2.1s

Counts

67 → 67

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	133	793
1	407	709
2	1192	654
3	4968	645
done	5000	645

prune163.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

2.8b	(fma (/ x z) (+ 1.0 y) (- x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ x z) (+ 1.0 y) (- x))

series37.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(fma (/ x z) (+ 1.0 y) (- x))

simplify827.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	23	166
1	43	166
2	84	136
3	266	136
4	1357	136
done	5001	136

prune38.0ms

Pruning

3 alts after pruning (2 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))

rewrite79.0ms

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:

32.0ms	(/ (+ (- y z) 1.0) z)
44.0ms	(* x (/ (+ (- y z) 1.0) z))

series69.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ (+ (- y z) 1.0) z)
40.0ms	(* x (/ (+ (- y z) 1.0) z))

simplify1.4s

Counts

86 → 86

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	111	1039
1	275	987
2	768	899
3	2800	882
done	5000	881

prune166.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes67.0ms

Accuracy

61.9% (0.5b remaining)

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

bsearch65.0ms

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	28	29
done	28	29

end0.0ms

sample473.0ms

Algorithm

intervals

Results

263.0ms

10098×

body

valid