Details

sample153.0ms

Algorithm

intervals

Results

66.0ms	108×	body	1280	valid
29.0ms	79×	body	640	valid
27.0ms	250×	body	80	nan
9.0ms	43×	body	320	valid
3.0ms	21×	body	160	valid
0.0ms	5×	body	80	valid

simplify109.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	149
8	149
7	145
6	122
5	96
4	65
3	40
2	25
1	18
0	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.3b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite49.0ms

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:

32.0ms	(/ (+ 1.0 x) (- 1.0 x))
14.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series211.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (+ 1.0 x) (- 1.0 x))
159.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.1s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	1377
1	347
0	146

prune533.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

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

prune12.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 1.0 x) (- (* 1.0 (* 1.0 1.0)) (* (* x x) x)))
0.1b	(* (* x x) x)
5.3b	(log (fma x (+ 1.0 x) (* 1.0 1.0)))
5.3b	(log (/ (+ 1.0 x) (- (* 1.0 (* 1.0 1.0)) (* (* x x) x))))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
32×	`times-frac`
26×	`add-sqr-sqrt`
25×	`pow1` `log-prod` `add-cube-cbrt`
15×	`add-exp-log`
11×	`add-cbrt-cube`
10×	`pow3`
9×	`difference-cubes` `cube-unmult` `distribute-lft-out`
6×	`pow-plus` `pow-prod-up`
4×	`expm1-log1p-u` `associate-/r` `associate-/r/` `log1p-expm1-u` `associate-/l` `add-log-exp`
3×	`rem-log-exp` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow2` `flip3--` `div-exp` `pow-sqr` `log-pow` `div-inv` `flip--` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `associate-l` `*-commutative` `flip-+` `unswap-sqr`

Counts

4 → 121

Calls

4 calls:

64.0ms	(/ (+ 1.0 x) (- (* 1.0 (* 1.0 1.0)) (* (* x x) x)))
14.0ms	(* (* x x) x)
1.0ms	(log (fma x (+ 1.0 x) (* 1.0 1.0)))
41.0ms	(log (/ (+ 1.0 x) (- (* 1.0 (* 1.0 1.0)) (* (* x x) x))))

series269.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(/ (+ 1.0 x) (- (* 1.0 (* 1.0 1.0)) (* (* x x) x)))
39.0ms	(* (* x x) x)
76.0ms	(log (fma x (+ 1.0 x) (* 1.0 1.0)))
84.0ms	(log (/ (+ 1.0 x) (- (* 1.0 (* 1.0 1.0)) (* (* x x) x))))

simplify2.1s

Counts

133 → 133

Iterations

Iter	Nodes
done	5001
2	2865
1	544
0	214

prune791.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (fma (* x x) -1/2 (fma 1.0 x (log 1.0))) (log (fma x (+ 1.0 x) (* 1.0 1.0))))
5.3b	(log (fma x (+ 1.0 x) (* 1.0 1.0)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
6×	`log-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1`
3×	`associate-+r+` `fma-def` `add-exp-log` `add-log-exp`
2×	`expm1-log1p-u` `add-cbrt-cube` `log-pow` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `associate-+l+` `sum-log` `flip3-+` `rem-log-exp` `flip-+` `fma-udef`

Counts

2 → 36

Calls

2 calls:

11.0ms	(+ (fma (* x x) -1/2 (fma 1.0 x (log 1.0))) (log (fma x (+ 1.0 x) (* 1.0 1.0))))
2.0ms	(log (fma x (+ 1.0 x) (* 1.0 1.0)))

series218.0ms

Counts

2 → 6

Calls

2 calls:

135.0ms	(+ (fma (* x x) -1/2 (fma 1.0 x (log 1.0))) (log (fma x (+ 1.0 x) (* 1.0 1.0))))
83.0ms	(log (fma x (+ 1.0 x) (* 1.0 1.0)))

simplify1.4s

Counts

42 → 42

Iterations

Iter	Nodes
done	5001
2	812
1	220
0	93

prune259.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes64.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.0s	3461×	body	1280	valid
1.5s	2422×	body	640	valid
596.0ms	8142×	body	80	nan
390.0ms	1242×	body	320	valid
158.0ms	664×	body	160	valid
15.0ms	211×	body	80	valid