Details

sample58.0ms

Algorithm

intervals

Results

15.0ms	207×	body	80	valid
13.0ms	26×	body	1280	valid
7.0ms	22×	body	640	valid
4.0ms	19×	body	320	valid
4.0ms	87×	body	80	nan
1.0ms	11×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b	(* y (log (/ y (+ z y))))
8.8b	(log (/ y (+ z y)))

rewrite172.0ms

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:

10.0ms	(/ y (+ z y))
135.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
16.0ms	(* y (log (/ y (+ z y))))
6.0ms	(log (/ y (+ z y)))

series351.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ y (+ z y))
108.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
107.0ms	(* y (log (/ y (+ z y))))
78.0ms	(log (/ y (+ z y)))

simplify3.1s

Counts

152 → 152

Iterations

Iter	Nodes
done	5000
3	4730
2	1055
1	419
0	207

prune903.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize108.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
2.5b	(log (/ (cbrt y) (cbrt (+ z y))))
2.5b	(log (/ (cbrt y) (cbrt (+ z y))))
2.5b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 199

Calls

4 calls:

3.0ms	(cbrt (+ z y))
7.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
7.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
7.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series566.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(cbrt (+ z y))
114.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
132.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
116.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify1.9s

Counts

211 → 211

Iterations

Iter	Nodes
done	5002
3	2031
2	727
1	367
0	193

prune1.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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:

24.0ms	(+ x (/ (exp (- z)) y))
10.0ms	(/ (exp (- z)) y)

series76.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ x (/ (exp (- z)) y))
36.0ms	(/ (exp (- z)) y)

simplify1.8s

Counts

54 → 54

Iterations

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

prune274.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

8.8b	(log (/ y (+ z y)))
8.8b	(log (/ y (+ z y)))
8.8b	(log (/ y (+ z y)))
30.0b	(/ (- (* x x) (* (/ (exp (* y (log (/ y (+ z y))))) y) (/ (exp (* y (log (/ y (+ z y))))) y))) (- x (/ (exp (* y (log (/ y (+ z y))))) y)))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

139×	`add-sqr-sqrt`
111×	`times-frac`
74×	`log-prod`
72×	`*-un-lft-identity`
44×	`add-cube-cbrt`
41×	`difference-of-squares`
20×	`exp-sum`
15×	`add-exp-log`
10×	`distribute-rgt-in` `associate-/r*` `distribute-lft-in`
9×	`distribute-lft-out`
8×	`associate-/r/`
7×	`pow1`
6×	`add-cbrt-cube` `rem-log-exp`
5×	`distribute-lft-out--`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
3×	`log-div` `flip3-+` `log-pow` `flip-+`
2×	`flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub`

Counts

4 → 166

Calls

4 calls:

6.0ms	(log (/ y (+ z y)))
5.0ms	(log (/ y (+ z y)))
5.0ms	(log (/ y (+ z y)))
198.0ms	(/ (- (* x x) (* (/ (exp (* y (log (/ y (+ z y))))) y) (/ (exp (* y (log (/ y (+ z y))))) y))) (- x (/ (exp (* y (log (/ y (+ z y))))) y)))

series477.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(log (/ y (+ z y)))
68.0ms	(log (/ y (+ z y)))
52.0ms	(log (/ y (+ z y)))
292.0ms	(/ (- (* x x) (* (/ (exp (* y (log (/ y (+ z y))))) y) (/ (exp (* y (log (/ y (+ z y))))) y))) (- x (/ (exp (* y (log (/ y (+ z y))))) y)))

simplify1.9s

Counts

178 → 178

Iterations

Iter	Nodes
done	5000
2	1446
1	573
0	252

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes222.0ms

Accuracy

0% (0.9b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.0s	758×	body	1280	valid
704.0ms	6585×	body	80	valid
502.0ms	946×	body	640	valid
282.0ms	3137×	body	80	nan
194.0ms	522×	body	320	valid
64.0ms	326×	body	160	valid