Details

sample96.0ms

Algorithm

intervals

Results

48.0ms	111×	body	1280	valid
20.0ms	86×	body	640	valid
8.0ms	284×	body	80	nan
5.0ms	35×	body	320	valid
2.0ms	18×	body	160	valid
0.0ms	6×	body	80	valid

simplify10.0ms

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: 59.0b

localize6.0ms

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)))

rewrite73.0ms

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:

55.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
11.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series218.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
169.0ms	(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	355	1247
2	881	1184
3	2180	1154
done	5001	1137

prune213.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

29.0ms

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

series125.0ms

Counts

1 → 3

Calls

1 calls:

125.0ms

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

simplify1.7s

Counts

23 → 23

Iterations

Useful iterations: 3 (436.0ms)

Iter	Nodes	Cost
0	54	519
1	127	412
2	362	350
3	1625	313
done	5001	313

prune63.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

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)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
30×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
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×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

78.0ms	(* (cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps))) (cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps))))
7.0ms	(cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))
7.0ms	(cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))
7.0ms	(cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))

series1.6s

Counts

4 → 12

Calls

4 calls:

430.0ms	(* (cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps))) (cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps))))
400.0ms	(cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))
372.0ms	(cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))
387.0ms	(cbrt (- (* eps eps) (fma (/ eps 1.0) (/ eps 1.0) eps)))

simplify3.3s

Counts

113 → 113

Iterations

Useful iterations: 4 (2.0s)

Iter	Nodes	Cost
0	108	3209
1	205	2972
2	495	2744
3	1207	2419
4	3809	2392
done	5000	2392

prune496.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

4.9b	(log (- 1.0 eps))
5.1b	(log (+ eps 1.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

9×	`log-prod`
8×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `log-div`
2×	`expm1-log1p-u` `rem-log-exp` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

10.0ms	(log (- 1.0 eps))
9.0ms	(log (+ eps 1.0))

series123.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(log (- 1.0 eps))
67.0ms	(log (+ eps 1.0))

simplify3.8s

Counts

41 → 41

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	101	389
1	209	369
2	464	331
3	960	330
4	2232	322
done	5000	316

prune111.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes22.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
done	9	16

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.4s	3434×	body	1280	valid
923.0ms	8241×	body	80	nan
875.0ms	2483×	body	640	valid
278.0ms	1214×	body	320	valid
81.0ms	662×	body	160	valid
11.0ms	207×	body	80	valid