Details

sample169.0ms

Algorithm

intervals

Results

87.0ms	116×	body	1280	valid
27.0ms	66×	body	640	valid
22.0ms	243×	body	80	nan
8.0ms	38×	body	320	valid
4.0ms	26×	body	160	valid
1.0ms	10×	body	80	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	15	8
2	20	8
3	23	8
done	23	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
7.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite46.0ms

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-/l*`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
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` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 87

Calls

2 calls:

32.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
10.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series588.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
530.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	147	1318
1	365	1247
2	1400	1186
done	5000	1183

prune280.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 2.0 (pow eps 2) (log 1.0))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma 2.0 (pow eps 2) (log 1.0))

series356.0ms

Counts

1 → 3

Calls

1 calls:

356.0ms

(fma 2.0 (pow eps 2) (log 1.0))

simplify7.8s

Counts

13 → 13

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	18	125
1	29	122
2	89	108
3	343	108
4	2467	108
done	5000	108

prune57.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (fma 1.0 1.0 (* eps (- eps 1.0)))))
0.0b	(* eps (- eps 1.0))
7.2b	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
7.2b	(log (fma 1.0 1.0 (* eps (- eps 1.0))))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

193×	`*-un-lft-identity`
108×	`log-prod`
91×	`add-sqr-sqrt`
90×	`times-frac`
54×	`distribute-lft-out`
51×	`add-cube-cbrt` `associate-+l+`
40×	`unpow-prod-down` `cube-prod`
19×	`distribute-lft-out--` `difference-of-squares`
18×	`prod-diff`
13×	`pow1`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `sum-cubes`
7×	`log-pow`
6×	`add-cbrt-cube`
5×	`associate-r`
4×	`expm1-log1p-u` `fma-def` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`associate-+r+` `flip3-+` `rem-log-exp` `associate-l` `flip-+`
2×	`sub-neg` `log-div` `associate-*r/` `div-inv`
1×	`+-commutative` `associate-+l-` `flip3--` `div-exp` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 200

Calls

4 calls:

46.0ms	(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (fma 1.0 1.0 (* eps (- eps 1.0)))))
35.0ms	(* eps (- eps 1.0))
38.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
3.0ms	(log (fma 1.0 1.0 (* eps (- eps 1.0))))

series551.0ms

Counts

4 → 12

Calls

4 calls:

279.0ms	(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (log (fma 1.0 1.0 (* eps (- eps 1.0)))))
52.0ms	(* eps (- eps 1.0))
111.0ms	(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
109.0ms	(log (fma 1.0 1.0 (* eps (- eps 1.0))))

simplify2.3s

Counts

212 → 212

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	321	4308
1	758	3904
2	2725	3694
done	5000	3652

prune606.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
7.2b	(log (- 1.0 eps))
7.2b	(log (+ 1.0 eps))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`pow1` `log-prod`
16×	`add-cube-cbrt` `prod-diff`
15×	`log-pow`
8×	`log-div`
6×	`distribute-lft-out--`
5×	`add-exp-log` `associate--l+`
4×	`fma-neg` `associate--r+`
3×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 87

Calls

3 calls:

24.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
6.0ms	(log (- 1.0 eps))
6.0ms	(log (+ 1.0 eps))

series439.0ms

Counts

3 → 9

Calls

3 calls:

329.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
61.0ms	(log (- 1.0 eps))
49.0ms	(log (+ 1.0 eps))

simplify1.4s

Counts

96 → 96

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	168	1543
1	396	1258
2	1482	1051
done	5001	929

prune214.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

regimes20.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	22
1	18	22
done	18	22

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.8s	3467×	body	1280	valid
1.1s	2501×	body	640	valid
353.0ms	7917×	body	80	nan
302.0ms	1230×	body	320	valid
106.0ms	616×	body	160	valid
11.0ms	186×	body	80	valid