Details

sample93.0ms

Algorithm

intervals

Results

21.0ms	215×	body	80	valid
16.0ms	29×	body	640	valid
16.0ms	19×	body	1280	valid
6.0ms	87×	body	80	nan
5.0ms	14×	body	320	valid
2.0ms	11×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	2018
6	565
5	220
4	94
3	44
2	25
1	18
0	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize33.0ms

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))))
8.1b	(log (/ y (+ z y)))

rewrite148.0ms

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` `add-cbrt-cube` `associate-/r/`
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` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 140

Calls

4 calls:

101.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
15.0ms	(/ y (+ z y))
18.0ms	(* y (log (/ y (+ z y))))
9.0ms	(log (/ y (+ z y)))

series342.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
59.0ms	(/ y (+ z y))
121.0ms	(* y (log (/ y (+ z y))))
75.0ms	(log (/ y (+ z y)))

simplify3.1s

Counts

152 → 152

Iterations

Iter	Nodes
done	5000
3	4601
2	1056
1	419
0	207

prune837.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
3.1b	(log (/ (cbrt y) (cbrt (+ z y))))
3.1b	(log (/ (cbrt y) (cbrt (+ z y))))
3.1b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

144×	`log-prod`
138×	`cbrt-prod`
126×	`times-frac`
122×	`*-un-lft-identity`
86×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`distribute-lft-out`
13×	`add-exp-log`
7×	`pow1`
6×	`cbrt-div` `rem-log-exp` `associate-/r/`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `flip3-+` `div-exp` `log-pow` `flip-+` `div-inv`
1×	`pow1/3`

Counts

4 → 196

Calls

4 calls:

1.0ms	(cbrt y)
15.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
16.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
20.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series553.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(cbrt y)
106.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
108.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
115.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify2.6s

Counts

208 → 208

Iterations

Iter	Nodes
done	5000
4	4322
3	1524
2	559
1	325
0	177

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

27.0ms	(+ x (/ (exp (- z)) y))
18.0ms	(/ (exp (- z)) y)

series80.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ x (/ (exp (- z)) y))
37.0ms	(/ (exp (- z)) y)

simplify2.0s

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
3	1912
2	581
1	200
0	89

prune308.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (- z)) y)
0.1b	(sqrt (/ (exp (- z)) y))
0.1b	(sqrt (/ (exp (- z)) y))
0.2b	(* (sqrt (/ (exp (- z)) y)) (sqrt (/ (exp (- z)) y)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt` `sqrt-prod`
71×	`times-frac`
58×	`*-un-lft-identity` `add-cube-cbrt`
21×	`pow1`
18×	`swap-sqr`
16×	`associate-r` `associate-l`
10×	`sqrt-pow1` `pow1/2`
9×	`unswap-sqr`
8×	`add-cbrt-cube`
7×	`add-exp-log` `div-inv`
6×	`sqrt-div`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `rem-sqrt-square` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `pow-sqr` `associate-/l`
2×	`associate-/l/`
1×	`pow2` `neg-sub0` `exp-neg` `frac-times` `cbrt-undiv` `clear-num` `rem-square-sqrt` `frac-2neg` `pow-plus` `exp-diff` `sqrt-unprod` `div-exp` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 174

Calls

4 calls:

10.0ms	(/ (exp (- z)) y)
8.0ms	(sqrt (/ (exp (- z)) y))
8.0ms	(sqrt (/ (exp (- z)) y))
100.0ms	(* (sqrt (/ (exp (- z)) y)) (sqrt (/ (exp (- z)) y)))

series226.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (exp (- z)) y)
67.0ms	(sqrt (/ (exp (- z)) y))
69.0ms	(sqrt (/ (exp (- z)) y))
57.0ms	(* (sqrt (/ (exp (- z)) y)) (sqrt (/ (exp (- z)) y)))

simplify2.9s

Counts

186 → 186

Iterations

Iter	Nodes
done	5001
3	3992
2	1274
1	443
0	215

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes183.0ms

Accuracy

0% (0.9b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample3.2s

Algorithm

intervals

Results

674.0ms	792×	body	1280	valid
655.0ms	6550×	body	80	valid
546.0ms	296×	body	160	valid
395.0ms	901×	body	640	valid
251.0ms	3021×	body	80	nan
200.0ms	576×	body	320	valid