Details

sample195.0ms

Algorithm

intervals

Results

98.0ms	94×	body	1280	valid
48.0ms	105×	body	640	valid
14.0ms	256×	body	80	nan
8.0ms	31×	body	320	valid
3.0ms	20×	body	160	valid
0.0ms	6×	body	80	valid

simplify134.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	127
9	127
8	123
7	116
6	105
5	88
4	60
3	38
2	25
1	18
0	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
4.6b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 86

Calls

2 calls:

27.0ms	(/ (+ 1.0 x) (- 1.0 x))
11.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series208.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (+ 1.0 x) (- 1.0 x))
169.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify2.5s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
3	2885
2	881
1	347
0	146

prune459.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune14.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (/ (+ x 1.0) (- (* (* 1.0 1.0) 1.0) (* (* x x) x)))) (log (fma (+ x 1.0) x (* 1.0 1.0))))
0.1b	(* (* x x) x)
4.6b	(log (/ (+ x 1.0) (- (* (* 1.0 1.0) 1.0) (* (* x x) x))))
4.7b	(log (fma (+ x 1.0) x (* 1.0 1.0)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

50×	`log-prod`
46×	`*-un-lft-identity`
32×	`times-frac`
30×	`pow1`
27×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
22×	`associate-+l+`
17×	`pow3`
13×	`add-exp-log`
12×	`distribute-lft-out`
9×	`add-cbrt-cube`
8×	`difference-cubes`
7×	`log-pow`
6×	`pow-plus` `pow-prod-up`
4×	`expm1-log1p-u` `fma-def` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`associate-+r+` `rem-log-exp` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow2` `log-div` `flip3--` `pow-sqr` `div-inv` `flip--`
1×	`+-commutative` `sum-log` `flip3-+` `div-exp` `associate-l` `*-commutative` `associate-+l-` `flip-+` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

45.0ms	(+ (log (/ (+ x 1.0) (- (* (* 1.0 1.0) 1.0) (* (* x x) x)))) (log (fma (+ x 1.0) x (* 1.0 1.0))))
22.0ms	(* (* x x) x)
31.0ms	(log (/ (+ x 1.0) (- (* (* 1.0 1.0) 1.0) (* (* x x) x))))
1.0ms	(log (fma (+ x 1.0) x (* 1.0 1.0)))

series609.0ms

Counts

4 → 12

Calls

4 calls:

351.0ms	(+ (log (/ (+ x 1.0) (- (* (* 1.0 1.0) 1.0) (* (* x x) x)))) (log (fma (+ x 1.0) x (* 1.0 1.0))))
55.0ms	(* (* x x) x)
97.0ms	(log (/ (+ x 1.0) (- (* (* 1.0 1.0) 1.0) (* (* x x) x))))
106.0ms	(log (fma (+ x 1.0) x (* 1.0 1.0)))

simplify1.8s

Counts

138 → 138

Iterations

Iter	Nodes
done	5000
2	1420
1	558
0	235

prune675.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma (* (* x x) x) 1.6666666666666665 (fma x 2.0 (+ (log 1.0) (log 1.0)))) (/ (* 1.0 (* (* x x) x)) (* 1.0 1.0)))
0.1b	(* (* x x) x)
0.1b	(* (* x x) x)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

41×	`pow1`
18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
15×	`prod-diff`
14×	`add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log`
12×	`pow-plus` `pow-prod-up`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
4×	`pow2` `pow-sqr`
3×	`expm1-log1p-u` `times-frac` `fma-neg` `log1p-expm1-u` `div-inv`
2×	`associate-l` `pow3` `*-commutative` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `fma-udef` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 95

Calls

3 calls:

12.0ms	(- (fma (* (* x x) x) 1.6666666666666665 (fma x 2.0 (+ (log 1.0) (log 1.0)))) (/ (* 1.0 (* (* x x) x)) (* 1.0 1.0)))
35.0ms	(* (* x x) x)
16.0ms	(* (* x x) x)

series197.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(- (fma (* (* x x) x) 1.6666666666666665 (fma x 2.0 (+ (log 1.0) (log 1.0)))) (/ (* 1.0 (* (* x x) x)) (* 1.0 1.0)))
54.0ms	(* (* x x) x)
36.0ms	(* (* x x) x)

simplify4.0s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
3	4574
2	877
1	294
0	122

prune631.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes77.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	19
1	19
0	16

end0.0ms

sample6.3s

Algorithm

intervals

Results

3.3s	3438×	body	1280	valid
1.2s	2482×	body	640	valid
785.0ms	1267×	body	320	valid
588.0ms	8160×	body	80	nan
101.0ms	619×	body	160	valid
14.0ms	194×	body	80	valid