Details

sample164.0ms

Algorithm

intervals

Results

90.0ms	109×	body	1280	valid
30.0ms	80×	body	640	valid
13.0ms	276×	body	80	nan
8.0ms	37×	body	320	valid
3.0ms	19×	body	160	valid
1.0ms	11×	body	80	valid

simplify95.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	24	12
2	47	12
3	93	12
4	125	12
5	133	12
done	133	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.2b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite62.0ms

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:

42.0ms	(/ (+ 1.0 x) (- 1.0 x))
14.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series190.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ (+ 1.0 x) (- 1.0 x))
147.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.9s

Counts

92 → 92

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	146	1310
1	857	1236
done	5000	1143

prune295.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 2.0 (* x x) (fma 2.0 x (log 1.0)))
0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
70×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
36×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp`
4×	`pow1`
3×	`associate-l`
2×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `fma-udef` `div-inv`

Counts

2 → 122

Calls

2 calls:

0.0ms	(fma 2.0 (* x x) (fma 2.0 x (log 1.0)))
63.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series118.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(fma 2.0 (* x x) (fma 2.0 x (log 1.0)))
76.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify851.0ms

Counts

128 → 128

Iterations

Useful iterations: done (846.0ms)

Iter	Nodes	Cost
0	238	1675
done	5000	1332

prune465.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (fma 2.0 (* x x) (fma 2.0 x (log 1.0))))
0.0b	(fma 2.0 (* x x) (fma 2.0 x (log 1.0)))
0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
2.4b	(exp (log (fma 2.0 (* x x) (fma 2.0 x (log 1.0)))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
75×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
41×	`add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp` `add-cbrt-cube`
8×	`pow1`
6×	`pow-to-exp` `log-prod` `pow-exp`
4×	`expm1-log1p-u` `exp-prod` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `exp-sum`
2×	`log-pow` `cbrt-unprod`
1×	`cbrt-undiv` `associate-r/` `rem-log-exp` `pow-prod-down` `-commutative` `fma-udef` `div-inv` `rem-exp-log`

Counts

4 → 153

Calls

4 calls:

1.0ms	(log (fma 2.0 (* x x) (fma 2.0 x (log 1.0))))
0.0ms	(fma 2.0 (* x x) (fma 2.0 x (log 1.0)))
73.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
7.0ms	(exp (log (fma 2.0 (* x x) (fma 2.0 x (log 1.0)))))

series247.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(log (fma 2.0 (* x x) (fma 2.0 x (log 1.0))))
35.0ms	(fma 2.0 (* x x) (fma 2.0 x (log 1.0)))
54.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
47.0ms	(exp (log (fma 2.0 (* x x) (fma 2.0 x (log 1.0)))))

simplify924.0ms

Counts

165 → 165

Iterations

Useful iterations: done (916.0ms)

Iter	Nodes	Cost
0	302	2315
done	5001	1882

prune794.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2.0 (* x x) (fma 2.0 x (log 1.0)))
0.0b	(log (fma 2.0 (* x x) (fma 2.0 x (log 1.0))))
0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
2.4b	(pow E (log (fma 2.0 (* x x) (fma 2.0 x (log 1.0)))))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
76×	`add-sqr-sqrt`
68×	`associate-r`
59×	`unpow-prod-down`
42×	`add-cube-cbrt` `*-un-lft-identity`
29×	`add-exp-log`
25×	`sqr-pow`
24×	`unpow2`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`pow1` `div-exp` `add-cbrt-cube`
8×	`pow-exp`
7×	`pow-to-exp`
6×	`log-prod`
4×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-up` `associate-l`
2×	`log-pow` `cbrt-unprod`
1×	`cbrt-undiv` `e-exp-1` `pow-pow` `associate-r/` `rem-log-exp` `pow-prod-down` `-commutative` `fma-udef` `div-inv`

Counts

4 → 160

Calls

4 calls:

1.0ms	(fma 2.0 (* x x) (fma 2.0 x (log 1.0)))
3.0ms	(log (fma 2.0 (* x x) (fma 2.0 x (log 1.0))))
60.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
7.0ms	(pow E (log (fma 2.0 (* x x) (fma 2.0 x (log 1.0)))))

series517.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(fma 2.0 (* x x) (fma 2.0 x (log 1.0)))
143.0ms	(log (fma 2.0 (* x x) (fma 2.0 x (log 1.0))))
81.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
249.0ms	(pow E (log (fma 2.0 (* x x) (fma 2.0 x (log 1.0)))))

simplify1.2s

Counts

172 → 172

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	340	2610
done	5000	2181

prune947.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

regimes49.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	24
1	17	24
done	17	24

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.6s	3383×	body	1280	valid
1.7s	2511×	body	640	valid
562.0ms	7937×	body	80	nan
520.0ms	1257×	body	320	valid
103.0ms	648×	body	160	valid
15.0ms	201×	body	80	valid