Details

sample169.0ms

Algorithm

intervals

Results

81.0ms	107×	body	1280	valid
33.0ms	74×	body	640	valid
14.0ms	283×	body	80	nan
13.0ms	50×	body	320	valid
3.0ms	18×	body	160	valid
0.0ms	7×	body	80	valid

simplify20.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite94.0ms

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:

68.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
19.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series286.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
226.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: done (1.6s)

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

prune507.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

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))

series512.0ms

Counts

1 → 3

Calls

1 calls:

512.0ms

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

simplify11.0s

Counts

13 → 13

Iterations

Useful iterations: 2 (21.0ms)

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

prune110.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (log (sqrt (+ 1.0 eps)))) (log (/ (- 1.0 eps) (sqrt (+ 1.0 eps)))))
0.0b	(/ (- 1.0 eps) (sqrt (+ 1.0 eps)))
5.1b	(log (/ (- 1.0 eps) (sqrt (+ 1.0 eps))))
5.2b	(log (sqrt (+ 1.0 eps)))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

154×	`*-un-lft-identity`
111×	`add-sqr-sqrt`
105×	`times-frac`
96×	`log-prod`
72×	`sqrt-prod`
67×	`add-cube-cbrt`
41×	`associate-+r+`
24×	`distribute-lft-out`
22×	`distribute-lft-out--` `difference-of-squares`
16×	`pow1` `fma-def`
15×	`log-pow`
10×	`add-exp-log` `distribute-rgt-neg-in`
8×	`sqrt-div`
7×	`associate-+l+` `distribute-neg-in` `associate-/r*`
6×	`distribute-lft-neg-in` `associate-/r/` `add-cbrt-cube`
5×	`flip3-+` `flip-+` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `log-div` `log1p-expm1-u`
3×	`sqrt-pow1` `pow1/2` `rem-log-exp` `div-inv`
2×	`div-exp` `sum-log` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `associate-+l-` `associate-+r-` `neg-mul-1` `flip3--` `frac-2neg` `div-sub` `neg-log` `clear-num` `flip--`

Counts

4 → 228

Calls

4 calls:

77.0ms	(+ (- (log (sqrt (+ 1.0 eps)))) (log (/ (- 1.0 eps) (sqrt (+ 1.0 eps)))))
62.0ms	(/ (- 1.0 eps) (sqrt (+ 1.0 eps)))
22.0ms	(log (/ (- 1.0 eps) (sqrt (+ 1.0 eps))))
11.0ms	(log (sqrt (+ 1.0 eps)))

series1.2s

Counts

4 → 12

Calls

4 calls:

580.0ms	(+ (- (log (sqrt (+ 1.0 eps)))) (log (/ (- 1.0 eps) (sqrt (+ 1.0 eps)))))
154.0ms	(/ (- 1.0 eps) (sqrt (+ 1.0 eps)))
353.0ms	(log (/ (- 1.0 eps) (sqrt (+ 1.0 eps))))
137.0ms	(log (sqrt (+ 1.0 eps)))

simplify2.6s

Counts

240 → 240

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	309	3928
1	758	3601
2	3195	3322
done	5000	3317

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 4 expressions with local error:

5.1b	(log (/ (- 1.0 eps) (sqrt (+ 1.0 eps))))
5.2b	(log (sqrt (+ 1.0 eps)))
5.2b	(log (sqrt (+ 1.0 eps)))
5.2b	(log (sqrt (+ 1.0 eps)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

62×	`log-prod`
58×	`*-un-lft-identity`
42×	`add-sqr-sqrt`
35×	`times-frac`
32×	`sqrt-prod`
28×	`add-cube-cbrt`
11×	`pow1`
10×	`add-exp-log` `log-pow`
8×	`sqrt-div` `distribute-lft-out`
7×	`log-div` `distribute-lft-out--` `difference-of-squares`
5×	`rem-log-exp`
4×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-pow1` `pow1/2`
2×	`associate-/r/`
1×	`div-exp` `div-inv`

Counts

4 → 120

Calls

4 calls:

32.0ms	(log (/ (- 1.0 eps) (sqrt (+ 1.0 eps))))
11.0ms	(log (sqrt (+ 1.0 eps)))
12.0ms	(log (sqrt (+ 1.0 eps)))
13.0ms	(log (sqrt (+ 1.0 eps)))

series744.0ms

Counts

4 → 12

Calls

4 calls:

341.0ms	(log (/ (- 1.0 eps) (sqrt (+ 1.0 eps))))
138.0ms	(log (sqrt (+ 1.0 eps)))
135.0ms	(log (sqrt (+ 1.0 eps)))
130.0ms	(log (sqrt (+ 1.0 eps)))

simplify1.2s

Counts

132 → 132

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	198	1903
1	423	1759
2	1393	1607
done	5001	1577

prune823.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes46.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
done	11	18

end0.0ms

sample5.8s

Algorithm

intervals

Results

3.0s	3404×	body	1280	valid
1.1s	2555×	body	640	valid
624.0ms	8118×	body	80	nan
348.0ms	1266×	body	320	valid
89.0ms	607×	body	160	valid
12.0ms	168×	body	80	valid