Details

sample165.0ms

Algorithm

intervals

Results

73.0ms	94×	body	1280	valid
35.0ms	75×	body	640	valid
14.0ms	250×	body	80	nan
13.0ms	50×	body	320	valid
5.0ms	30×	body	160	valid
1.0ms	7×	body	80	valid

simplify168.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	25	12
3	40	12
4	65	12
5	96	12
6	122	12
7	143	12
8	151	12
done	151	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (+ 1.0 x) (- 1.0 x))
7.8b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite77.0ms

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×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `flip--` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 86

Calls

2 calls:

53.0ms	(/ (+ 1.0 x) (- 1.0 x))
21.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series214.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (+ 1.0 x) (- 1.0 x))
164.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.0s

Counts

92 → 92

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	146	1310
1	345	1243
2	1355	1184
done	5001	1165

prune338.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune16.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
0.0b	(* x (+ 1.0 x))
8.0b	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
8.0b	(log (fma 1.0 1.0 (* x (+ 1.0 x))))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

286×	`add-sqr-sqrt`
262×	`*-un-lft-identity`
200×	`times-frac`
144×	`difference-of-squares`
109×	`log-prod`
108×	`unpow-prod-down` `cube-prod`
72×	`sqr-pow`
68×	`add-cube-cbrt`
52×	`distribute-lft-out`
45×	`distribute-lft-out--`
25×	`associate-/r*`
12×	`add-exp-log`
9×	`difference-cubes`
8×	`pow1` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-r` `associate-/r/` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`rem-log-exp` `associate-l`
2×	`flip3--` `flip3-+` `associate-*r/` `div-exp` `log-pow` `flip--` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `log-div` `frac-2neg` `distribute-lft-in` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 305

Calls

4 calls:

74.0ms	(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
22.0ms	(* x (+ 1.0 x))
31.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
3.0ms	(log (fma 1.0 1.0 (* x (+ 1.0 x))))

series305.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
55.0ms	(* x (+ 1.0 x))
81.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
100.0ms	(log (fma 1.0 1.0 (* x (+ 1.0 x))))

simplify2.3s

Counts

317 → 317

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	362	6908
1	836	6316
2	3392	6067
done	5001	6064

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow x 3) (pow x 3))
0.1b	(pow (pow x 3) 3)
8.0b	(log (* (/ (+ 1.0 x) (- (pow (pow 1.0 3) 3) (pow (pow x 3) 3))) (+ (* (pow 1.0 3) (pow 1.0 3)) (+ (* (pow x 3) (pow x 3)) (* (pow 1.0 3) (pow x 3))))))
8.0b	(log (fma 1.0 1.0 (* x (+ 1.0 x))))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
44×	`unpow-prod-down` `cube-prod`
28×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log`
18×	`swap-sqr`
16×	`unswap-sqr`
15×	`sqr-pow`
12×	`associate-r` `associate-l`
11×	`prod-exp`
10×	`pow-exp`
8×	`pow1` `pow-to-exp`
7×	`cube-mult` `unpow3` `add-cbrt-cube`
5×	`log-div`
4×	`expm1-log1p-u` `log-prod` `rem-log-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `log-pow`
2×	`frac-times` `flip3-+` `associate-*r/` `pow-prod-down` `flip-+`
1×	`pow2` `pow-pow` `div-exp` `associate-l/` `pow-sqr` `-commutative` `pow-prod-up` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 161

Calls

4 calls:

23.0ms	(* (pow x 3) (pow x 3))
7.0ms	(pow (pow x 3) 3)
182.0ms	(log (* (/ (+ 1.0 x) (- (pow (pow 1.0 3) 3) (pow (pow x 3) 3))) (+ (* (pow 1.0 3) (pow 1.0 3)) (+ (* (pow x 3) (pow x 3)) (* (pow 1.0 3) (pow x 3))))))
2.0ms	(log (fma 1.0 1.0 (* x (+ 1.0 x))))

series346.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (pow x 3) (pow x 3))
81.0ms	(pow (pow x 3) 3)
119.0ms	(log (* (/ (+ 1.0 x) (- (pow (pow 1.0 3) 3) (pow (pow x 3) 3))) (+ (* (pow 1.0 3) (pow 1.0 3)) (+ (* (pow x 3) (pow x 3)) (* (pow 1.0 3) (pow x 3))))))
74.0ms	(log (fma 1.0 1.0 (* x (+ 1.0 x))))

simplify7.5s

Counts

173 → 173

Iterations

Useful iterations: 2 (1.2s)

Iter	Nodes	Cost
0	202	2831
1	598	1972
2	4647	1737
done	5000	1737

prune789.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

regimes93.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	15	22
done	15	22

end0.0ms

sample6.3s

Algorithm

intervals

Results

3.1s	3380×	body	1280	valid
1.2s	2506×	body	640	valid
900.0ms	7919×	body	80	nan
419.0ms	1233×	body	320	valid
204.0ms	686×	body	160	valid
14.0ms	195×	body	80	valid