Details

sample114.0ms

Algorithm

intervals

Results

24.0ms	25×	body	1280	valid
24.0ms	209×	body	80	valid
18.0ms	30×	body	640	valid
11.0ms	25×	body	320	valid
8.0ms	86×	body	80	nan
3.0ms	13×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	52	11
4	110	11
5	249	11
6	590	11
7	1855	11
done	5000	11

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize15.0ms

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))))
9.6b	(log (/ y (+ z y)))

rewrite182.0ms

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:

101.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
24.0ms	(/ y (+ z y))
42.0ms	(* y (log (/ y (+ z y))))
9.0ms	(log (/ y (+ z y)))

series354.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
59.0ms	(/ y (+ z y))
128.0ms	(* y (log (/ y (+ z y))))
53.0ms	(log (/ y (+ z y)))

simplify1.7s

Counts

152 → 152

Iterations

Useful iterations: 3 (807.0ms)

Iter	Nodes	Cost
0	207	1965
1	396	1858
2	915	1711
3	2400	1662
done	5001	1662

prune585.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ z y))
0.5b	(cbrt (+ z y))
2.3b	(log (/ (cbrt y) (cbrt (+ z y))))
2.3b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite55.0ms

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:

5.0ms	(cbrt (+ z y))
18.0ms	(cbrt (+ z y))
12.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
10.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series623.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(cbrt (+ z y))
199.0ms	(cbrt (+ z y))
97.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
129.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify2.7s

Counts

166 → 166

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	193	2506
1	365	2332
2	708	2242
3	1464	2166
4	3668	2162
done	5000	2152

prune830.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite74.0ms

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:

47.0ms	(+ (/ (exp (- z)) y) x)
24.0ms	(/ (exp (- z)) y)

series64.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (/ (exp (- z)) y) x)
23.0ms	(/ (exp (- z)) y)

simplify2.5s

Counts

64 → 64

Iterations

Useful iterations: 3 (406.0ms)

Iter	Nodes	Cost
0	91	509
1	188	484
2	475	452
3	1207	449
done	5000	449

prune210.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (- z)) y)
0.0b	(sqrt (/ (exp (- z)) y))
0.0b	(sqrt (/ (exp (- z)) y))
0.1b	(fma (sqrt (/ (exp (- z)) y)) (sqrt (/ (exp (- z)) y)) x)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
29×	`times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
6×	`pow1` `add-cbrt-cube`
5×	`add-exp-log`
4×	`expm1-log1p-u` `rem-sqrt-square` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `associate-/l/`
1×	`cbrt-undiv` `neg-sub0` `exp-neg` `frac-2neg` `exp-diff` `div-exp` `clear-num` `fma-udef`

Counts

4 → 95

Calls

4 calls:

18.0ms	(/ (exp (- z)) y)
17.0ms	(sqrt (/ (exp (- z)) y))
17.0ms	(sqrt (/ (exp (- z)) y))
1.0ms	(fma (sqrt (/ (exp (- z)) y)) (sqrt (/ (exp (- z)) y)) x)

series316.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ (exp (- z)) y)
69.0ms	(sqrt (/ (exp (- z)) y))
72.0ms	(sqrt (/ (exp (- z)) y))
135.0ms	(fma (sqrt (/ (exp (- z)) y)) (sqrt (/ (exp (- z)) y)) x)

simplify2.4s

Counts

107 → 107

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	143	1281
1	262	1104
2	677	1017
3	2533	1007
done	5001	1003

prune547.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes74.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	26
1	20	26
done	20	26

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.2s	812×	body	1280	valid
633.0ms	6503×	body	80	valid
620.0ms	926×	body	640	valid
260.0ms	2954×	body	80	nan
192.0ms	603×	body	320	valid
100.0ms	301×	body	160	valid