Details

sample55.0ms

Algorithm

intervals

Results

13.0ms	26×	body	1280	valid
11.0ms	207×	body	80	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

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	1851
6	540
5	215
4	92
3	44
2	25
1	18
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize22.0ms

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)))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
41×	`add-sqr-sqrt`
39×	`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×	`associate-/r` `associate-r*` `div-inv`
3×	`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 → 129

Calls

4 calls:

9.0ms	(/ y (+ z y))
109.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
16.0ms	(* y (log (/ y (+ z y))))
5.0ms	(log (/ y (+ z y)))

series344.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ y (+ z y))
119.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
101.0ms	(* y (log (/ y (+ z y))))
68.0ms	(log (/ y (+ z y)))

simplify2.3s

Counts

141 → 141

Iterations

Iter	Nodes
done	5005
3	4795
2	1051
1	449
0	199

prune676.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize57.0ms

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))))

rewrite45.0ms

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×	`flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`log-div` `div-exp` `log-pow` `div-inv`
1×	`pow1/3`

Counts

4 → 191

Calls

4 calls:

5.0ms	(cbrt (+ z y))
10.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
7.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
7.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series459.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt (+ z y))
92.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
100.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
100.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify2.4s

Counts

203 → 203

Iterations

Iter	Nodes
done	5001
4	4804
3	1828
2	695
1	359
0	189

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `add-exp-log` `associate-/l`
2×	`pow1` `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 → 41

Calls

2 calls:

11.0ms	(+ x (/ (exp (- z)) y))
11.0ms	(/ (exp (- z)) y)

series68.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ x (/ (exp (- z)) y))
31.0ms	(/ (exp (- z)) y)

simplify1.4s

Counts

47 → 47

Iterations

Iter	Nodes
done	5012
3	1855
2	569
1	192
0	85

prune198.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize50.0ms

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)))

rewrite182.0ms

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×	`div-exp` `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 → 158

Calls

4 calls:

5.0ms	(log (/ y (+ z y)))
5.0ms	(log (/ y (+ z y)))
5.0ms	(log (/ y (+ z y)))
159.0ms	(/ (- (* x x) (* (/ (exp (* y (log (/ y (+ z y))))) y) (/ (exp (* y (log (/ y (+ z y))))) y))) (- x (/ (exp (* y (log (/ y (+ z y))))) y)))

series414.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(log (/ y (+ z y)))
55.0ms	(log (/ y (+ z y)))
52.0ms	(log (/ y (+ z y)))
244.0ms	(/ (- (* x x) (* (/ (exp (* y (log (/ y (+ z y))))) y) (/ (exp (* y (log (/ y (+ z y))))) y))) (- x (/ (exp (* y (log (/ y (+ z y))))) y)))

simplify1.8s

Counts

170 → 170

Iterations

Iter	Nodes
done	5000
2	1430
1	562
0	248

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes231.0ms

Accuracy

0% (0.9b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample2.8s

Algorithm

intervals

Results

683.0ms	6585×	body	80	valid
529.0ms	3137×	body	80	nan
492.0ms	758×	body	1280	valid
439.0ms	946×	body	640	valid
163.0ms	522×	body	320	valid
53.0ms	326×	body	160	valid