Details

sample87.0ms

Algorithm

intervals

Results

45.0ms	108×	body	1280	valid
19.0ms	87×	body	640	valid
6.0ms	259×	body	80	nan
5.0ms	38×	body	320	valid
1.0ms	18×	body	160	valid
0.0ms	5×	body	80	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 58.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.6b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite21.0ms

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:

12.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series162.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
129.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	147	1318
1	351	1247
2	871	1184
3	2428	1155
done	5000	1154

prune200.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:

11.0ms

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

series97.0ms

Counts

1 → 3

Calls

1 calls:

97.0ms

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

simplify1.1s

Counts

55 → 55

Iterations

Useful iterations: 3 (395.0ms)

Iter	Nodes	Cost
0	94	2141
1	189	1363
2	526	1004
3	2186	747
done	5001	747

prune102.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps))
0.6b	(pow (cbrt (fma (/ eps 1.0) (/ eps 1.0) eps)) 6)
0.6b	(cbrt (fma (/ eps 1.0) (/ eps 1.0) eps))
29.0b	(/ (- (pow eps 4) (pow (cbrt (fma (/ eps 1.0) (/ eps 1.0) eps)) 6)) (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt`
48×	`times-frac` `difference-of-squares`
46×	`unpow-prod-down`
37×	`*-un-lft-identity`
29×	`add-cube-cbrt` `sqr-pow`
18×	`cbrt-prod`
16×	`associate-/l*`
7×	`add-exp-log`
6×	`add-cbrt-cube`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`pow-unpow` `associate-/r*`
2×	`pow-pow` `pow1/3` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `flip3--` `frac-2neg` `div-sub` `div-exp` `pow-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

4 → 130

Calls

4 calls:

0.0ms	(fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps))
2.0ms	(pow (cbrt (fma (/ eps 1.0) (/ eps 1.0) eps)) 6)
1.0ms	(cbrt (fma (/ eps 1.0) (/ eps 1.0) eps))
46.0ms	(/ (- (pow eps 4) (pow (cbrt (fma (/ eps 1.0) (/ eps 1.0) eps)) 6)) (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)))

series636.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps))
159.0ms	(pow (cbrt (fma (/ eps 1.0) (/ eps 1.0) eps)) 6)
111.0ms	(cbrt (fma (/ eps 1.0) (/ eps 1.0) eps))
260.0ms	(/ (- (pow eps 4) (pow (cbrt (fma (/ eps 1.0) (/ eps 1.0) eps)) 6)) (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)))

simplify595.0ms

Counts

142 → 142

Iterations

Useful iterations: 2 (254.0ms)

Iter	Nodes	Cost
0	306	5132
1	673	4932
2	1723	4498
done	5000	4498

prune539.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))
3.1b	(exp (log (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
24×	`*-un-lft-identity` `prod-diff`
20×	`add-cube-cbrt`
14×	`unpow-prod-down`
8×	`log-prod` `fma-neg` `exp-sum` `difference-of-squares`
6×	`unpow2` `sqr-pow`
4×	`exp-prod` `add-log-exp`
3×	`pow1`
2×	`add-exp-log` `expm1-log1p-u` `log-div` `flip3--` `exp-diff` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `log-pow` `fma-udef` `rem-exp-log` `associate--r+`

Counts

2 → 76

Calls

2 calls:

11.0ms	(- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))
7.0ms	(exp (log (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))))

series194.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))
97.0ms	(exp (log (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))))

simplify1.2s

Counts

82 → 82

Iterations

Useful iterations: 3 (428.0ms)

Iter	Nodes	Cost
0	142	2710
1	244	1842
2	589	1412
3	2257	1147
done	5000	1147

prune169.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes70.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	13	17
done	13	17

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	3365×	body	1280	valid
565.0ms	2489×	body	640	valid
195.0ms	8082×	body	80	nan
167.0ms	1260×	body	320	valid
54.0ms	683×	body	160	valid
7.0ms	203×	body	80	valid