Details

sample47.0ms

Algorithm

intervals

Results

10.0ms	201×	body	80	valid
9.0ms	35×	body	640	valid
9.0ms	20×	body	1280	valid
3.0ms	17×	body	320	valid
3.0ms	79×	body	80	nan
1.0ms	8×	body	160	valid

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	54	11
4	105	11
5	245	11
6	563	11
7	1665	11
done	5000	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
7.7b	(log (/ y (+ z y)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
42×	`add-sqr-sqrt`
40×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
14×	`distribute-lft-out`
11×	`add-exp-log`
8×	`pow1` `associate-/r/` `add-cbrt-cube`
6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `associate-r` `associate-/r*` `log1p-expm1-u` `div-inv`
3×	`fma-def` `associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `log-div` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 140

Calls

4 calls:

71.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
5.0ms	(/ y (+ z y))
11.0ms	(* y (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
38.0ms	(/ y (+ z y))
78.0ms	(* y (log (/ y (+ z y))))
52.0ms	(log (/ y (+ z y)))

simplify1.0s

Counts

152 → 152

Iterations

Useful iterations: 3 (492.0ms)

Iter	Nodes	Cost
0	207	1965
1	394	1858
2	852	1707
3	2211	1662
done	5000	1662

prune364.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ z y))
0.5b	(cbrt (+ z y))
3.8b	(log (/ (cbrt y) (cbrt (+ z y))))
3.8b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

98×	`cbrt-prod`
96×	`log-prod`
88×	`*-un-lft-identity`
84×	`times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
14×	`distribute-lft-out`
10×	`add-exp-log`
8×	`cbrt-div`
6×	`pow1`
4×	`expm1-log1p-u` `flip3-+` `rem-log-exp` `associate-/r/` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`
2×	`log-div` `pow1/3` `div-exp` `log-pow` `div-inv`

Counts

4 → 154

Calls

4 calls:

2.0ms	(cbrt (+ z y))
2.0ms	(cbrt (+ z y))
6.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series402.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(cbrt (+ z y))
131.0ms	(cbrt (+ z y))
68.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
76.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify2.1s

Counts

166 → 166

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	193	2506
1	360	2332
2	732	2242
3	1735	2166
4	4839	2162
done	5000	2162

prune617.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (exp (- z)) y) x)
0.0b	(/ (exp (- z)) y)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`times-frac`
17×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`fma-def`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `exp-neg` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `clear-num` `sum-log` `flip-+` `distribute-lft-out`

Counts

2 → 58

Calls

2 calls:

21.0ms	(+ (/ (exp (- z)) y) x)
7.0ms	(/ (exp (- z)) y)

series55.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (/ (exp (- z)) y) x)
20.0ms	(/ (exp (- z)) y)

simplify1.3s

Counts

64 → 64

Iterations

Useful iterations: 3 (487.0ms)

Iter	Nodes	Cost
0	91	509
1	189	484
2	452	452
3	1357	449
done	5000	449

prune149.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (exp (- z)) (/ 1 y)) x)
0.0b	(* (exp (- z)) (/ 1 y))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
11×	`*-un-lft-identity` `times-frac`
10×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `prod-exp` `add-log-exp`
3×	`associate-l` `unswap-sqr`
2×	`neg-sub0` `exp-neg` `expm1-log1p-u` `frac-times` `exp-diff` `div-exp` `associate-*l/` `cbrt-unprod` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `fma-def` `flip3-+` `1-exp` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `div-inv`

Counts

2 → 56

Calls

2 calls:

17.0ms	(+ (* (exp (- z)) (/ 1 y)) x)
21.0ms	(* (exp (- z)) (/ 1 y))

series54.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* (exp (- z)) (/ 1 y)) x)
19.0ms	(* (exp (- z)) (/ 1 y))

simplify1.6s

Counts

62 → 62

Iterations

Useful iterations: 3 (636.0ms)

Iter	Nodes	Cost
0	119	668
1	292	511
2	721	452
3	2312	449
done	5000	449

prune128.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes44.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	28
1	22	28
done	22	28

end0.0ms

sample1.4s

Algorithm

intervals

Results

324.0ms	734×	body	1280	valid
312.0ms	6624×	body	80	valid
244.0ms	917×	body	640	valid
101.0ms	568×	body	320	valid
98.0ms	2961×	body	80	nan
33.0ms	313×	body	160	valid