Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

325×

body

valid

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	3211
7	1893
6	1154
5	639
4	260
3	105
2	44
1	22
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
10.5b	(/ (* x (+ (- y z) 1.0)) z)

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

88.0ms	(* x (+ (- y z) 1.0))
47.0ms	(/ (* x (+ (- y z) 1.0)) z)

series103.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* x (+ (- y z) 1.0))
57.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify2.4s

Counts

57 → 57

Iterations

Iter	Nodes
done	5000
3	4781
2	974
1	274
0	98

prune244.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (/ x z) 1.0) x)
1.6b	(fma (/ x z) y (- (* (/ x z) 1.0) x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
3×	`add-sqr-sqrt` `*-un-lft-identity` `prod-diff` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `fma-udef` `flip--`

Counts

2 → 28

Calls

2 calls:

13.0ms	(- (* (/ x z) 1.0) x)
0.0ms	(fma (/ x z) y (- (* (/ x z) 1.0) x))

series105.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(- (* (/ x z) 1.0) x)
58.0ms	(fma (/ x z) y (- (* (/ x z) 1.0) x))

simplify2.7s

Counts

34 → 34

Iterations

Iter	Nodes
done	5000
4	4884
3	1281
2	403
1	158
0	66

prune234.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
2.3b	(/ x (/ z (+ (- y z) 1.0)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
138×	`times-frac`
70×	`add-sqr-sqrt` `add-cube-cbrt`
32×	`distribute-lft-out`
26×	`associate-/r*`
16×	`distribute-lft-out--`
11×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`

Counts

2 → 143

Calls

2 calls:

34.0ms	(/ z (+ (- y z) 1.0))
49.0ms	(/ x (/ z (+ (- y z) 1.0)))

series133.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(/ z (+ (- y z) 1.0))
58.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify1.6s

Counts

149 → 149

Iterations

Iter	Nodes
done	5004
2	1792
1	518
0	204

prune565.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- y z) 1.0) z)
2.5b	(* x (/ (+ (- y z) 1.0) z))

rewrite143.0ms

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-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out--`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-/r` `associate-l*`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `associate-+l-` `flip-+`

Counts

2 → 80

Calls

2 calls:

70.0ms	(/ (+ (- y z) 1.0) z)
67.0ms	(* x (/ (+ (- y z) 1.0) z))

series91.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (+ (- y z) 1.0) z)
53.0ms	(* x (/ (+ (- y z) 1.0) z))

simplify2.4s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
3	4192
2	942
1	287
0	111

prune334.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes205.0ms

Accuracy

66.5% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.6b

bsearch100.0ms

Steps

Iters	Range		Point
4	7.296941747841932e-99	1.2547098983604275e-98	8.101941502747142e-99
9	-1.2011377901340313e-167	-1.6310100304964367e-172	-1.9553744761529346e-168

simplify3.0ms

Iterations

Iter	Nodes
done	28
1	28
0	22

end0.0ms

sample1.2s

Algorithm

intervals

Results

480.0ms

10004×

body

valid