Details

sample144.0ms

Algorithm

intervals

Results

78.0ms	113×	body	1280	valid
28.0ms	75×	body	640	valid
11.0ms	270×	body	80	nan
8.0ms	39×	body	320	valid
3.0ms	24×	body	160	valid
0.0ms	5×	body	80	valid

simplify13.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.4b

localize40.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
7.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

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-/l*`
4×	`associate-/r*` `add-cbrt-cube` `associate-/r/`
3×	`pow1`
2×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-sub` `log-pow` `flip--`

Counts

2 → 87

Calls

2 calls:

37.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
17.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series297.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
238.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1399
1	364
0	147

prune459.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `prod-diff` `add-log-exp`
2×	`*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `fma-neg` `diff-log` `add-exp-log` `fma-udef` `log1p-expm1-u` `flip--` `associate--r+` `difference-of-squares`

Counts

1 → 20

Calls

1 calls:

7.0ms

(- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps))

series154.0ms

Counts

1 → 3

Calls

1 calls:

153.0ms

(- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps))

simplify1.0s

Counts

23 → 23

Iterations

Iter	Nodes
done	5001
2	495
1	127
0	54

prune128.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps))) (cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps))))
0.6b	(cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))
0.6b	(cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))
0.6b	(cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
30×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
7×	`swap-sqr` `associate-r` `associate-l` `difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

57.0ms	(* (cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps))) (cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps))))
11.0ms	(cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))
10.0ms	(cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))
11.0ms	(cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))

series1.8s

Counts

4 → 12

Calls

4 calls:

438.0ms	(* (cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps))) (cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps))))
421.0ms	(cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))
447.0ms	(cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))
485.0ms	(cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))

simplify3.7s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
3	3971
2	727
1	227
0	108

prune775.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize65.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))
0.6b	(cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))
0.6b	(cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))
17.2b	(log (exp (cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
14×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`log-pow`
7×	`exp-prod`
6×	`cbrt-div`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`log-prod` `flip3--` `pow1/3` `flip--`
1×	`rem-log-exp`

Counts

4 → 69

Calls

4 calls:

5.0ms	(cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))
5.0ms	(cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))
8.0ms	(cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))
37.0ms	(log (exp (cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))))

series1.7s

Counts

4 → 12

Calls

4 calls:

409.0ms	(cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))
425.0ms	(cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))
388.0ms	(cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))
438.0ms	(log (exp (cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))))

simplify3.3s

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
4	4711
3	1007
2	337
1	162
0	87

prune643.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes148.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.1s	3401×	body	1280	valid
917.0ms	2508×	body	640	valid
505.0ms	636×	body	160	valid
409.0ms	7944×	body	80	nan
288.0ms	1260×	body	320	valid
11.0ms	195×	body	80	valid