Details

sample88.0ms

Algorithm

intervals

Results

46.0ms	112×	body	1280	valid
18.0ms	83×	body	640	valid
5.0ms	258×	body	80	nan
4.0ms	32×	body	320	valid
2.0ms	24×	body	160	valid
0.0ms	5×	body	80	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	20	4
2	23	4
3	23	4
done	23	4

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
7.6b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite35.0ms

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:

22.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
10.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series154.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
122.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify135.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	354	672
1	1096	638
2	4786	623
3	5001	622
done	5001	622

prune178.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

24×	`prod-diff`
23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
13×	`unpow-prod-down`
8×	`fma-neg`
5×	`unpow2` `sqr-pow`
4×	`difference-of-squares`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `fma-udef` `log1p-expm1-u` `associate--r+` `distribute-lft-out--`

Counts

1 → 52

Calls

1 calls:

18.0ms

(- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))

series92.0ms

Counts

1 → 3

Calls

1 calls:

92.0ms

(- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))

simplify131.0ms

Counts

55 → 55

Iterations

Useful iterations: 3 (124.0ms)

Iter	Nodes	Cost
0	203	877
1	600	486
2	3825	462
3	5001	461
done	5001	461

prune94.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps))
0.1b	(pow (fma (/ eps 1.0) (/ eps 1.0) eps) 3)
0.1b	(pow (pow eps 2) 3)
42.6b	(/ (- (pow (pow eps 2) 3) (pow (fma (/ eps 1.0) (/ eps 1.0) eps) 3)) (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4)))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

266×	`add-sqr-sqrt`
169×	`unpow-prod-down`
160×	`difference-of-squares`
147×	`times-frac`
131×	`cube-prod`
106×	`*-un-lft-identity`
92×	`sqr-pow`
66×	`add-cube-cbrt`
49×	`associate-/l*`
34×	`unpow2`
20×	`distribute-lft-out--`
9×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`pow-unpow`
5×	`pow1` `pow-exp`
4×	`difference-cubes` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `associate-/r*`
2×	`cube-mult` `pow-pow` `unpow3` `associate-/l/` `rem-cube-cbrt`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

4 → 288

Calls

4 calls:

0.0ms	(fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps))
2.0ms	(pow (fma (/ eps 1.0) (/ eps 1.0) eps) 3)
5.0ms	(pow (pow eps 2) 3)
150.0ms	(/ (- (pow (pow eps 2) 3) (pow (fma (/ eps 1.0) (/ eps 1.0) eps) 3)) (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4)))

series627.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps))
47.0ms	(pow (fma (/ eps 1.0) (/ eps 1.0) eps) 3)
42.0ms	(pow (pow eps 2) 3)
435.0ms	(/ (- (pow (pow eps 2) 3) (pow (fma (/ eps 1.0) (/ eps 1.0) eps) 3)) (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4)))

simplify140.0ms

Counts

300 → 300

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	748	7039
1	2892	6790
2	5001	6581
done	5001	6581

prune581.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (pow eps 2) 3)
1.0b	(pow (pow (fma (/ eps 1.0) (/ eps 1.0) eps) (sqrt 3)) (sqrt 3))
1.8b	(pow (fma (/ eps 1.0) (/ eps 1.0) eps) (sqrt 3))
19.2b	(/ (- (pow (pow eps 2) 3) (pow (pow (fma (/ eps 1.0) (/ eps 1.0) eps) (sqrt 3)) (sqrt 3))) (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4)))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

307×	`unpow-prod-down`
295×	`add-sqr-sqrt`
200×	`difference-of-squares`
162×	`times-frac`
146×	`sqr-pow`
88×	`cube-prod`
83×	`*-un-lft-identity`
75×	`add-cube-cbrt`
54×	`associate-/l*`
42×	`unpow2`
15×	`pow-unpow`
11×	`add-exp-log`
9×	`pow-exp`
7×	`add-cbrt-cube`
6×	`sqrt-prod`
5×	`pow1` `pow-to-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`pow-pow` `associate-/r*`
2×	`associate-/l/`
1×	`cbrt-undiv` `cube-mult` `flip3--` `frac-2neg` `unpow3` `div-sub` `div-exp` `clear-num` `flip--` `div-inv` `rem-cube-cbrt`

Counts

4 → 323

Calls

4 calls:

5.0ms	(pow (pow eps 2) 3)
5.0ms	(pow (pow (fma (/ eps 1.0) (/ eps 1.0) eps) (sqrt 3)) (sqrt 3))
3.0ms	(pow (fma (/ eps 1.0) (/ eps 1.0) eps) (sqrt 3))
161.0ms	(/ (- (pow (pow eps 2) 3) (pow (pow (fma (/ eps 1.0) (/ eps 1.0) eps) (sqrt 3)) (sqrt 3))) (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4)))

series708.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(pow (pow eps 2) 3)
258.0ms	(pow (pow (fma (/ eps 1.0) (/ eps 1.0) eps) (sqrt 3)) (sqrt 3))
146.0ms	(pow (fma (/ eps 1.0) (/ eps 1.0) eps) (sqrt 3))
262.0ms	(/ (- (pow (pow eps 2) 3) (pow (pow (fma (/ eps 1.0) (/ eps 1.0) eps) (sqrt 3)) (sqrt 3))) (fma (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)) (fma (/ eps 1.0) (/ eps 1.0) eps) (pow eps 4)))

simplify110.0ms

Counts

335 → 335

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1300	9617
1	5001	9322
done	5001	9322

prune986.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes40.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	8
1	13	8
done	13	8

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	3392×	body	1280	valid
541.0ms	2516×	body	640	valid
173.0ms	8048×	body	80	nan
166.0ms	1292×	body	320	valid
45.0ms	597×	body	160	valid
7.0ms	203×	body	80	valid