Details

sample89.0ms

Algorithm

intervals

Results

18.0ms	24×	body	1280	valid
16.0ms	205×	body	80	valid
15.0ms	33×	body	640	valid
7.0ms	22×	body	320	valid
6.0ms	102×	body	80	nan
2.0ms	12×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize22.0ms

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))))
10.4b	(log (/ y (+ z y)))

rewrite129.0ms

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:

74.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
15.0ms	(/ y (+ z y))
26.0ms	(* y (log (/ y (+ z y))))
9.0ms	(log (/ y (+ z y)))

series315.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
56.0ms	(/ y (+ z y))
93.0ms	(* y (log (/ y (+ z y))))
58.0ms	(log (/ y (+ z y)))

simplify2.5s

Counts

141 → 141

Iterations

Iter	Nodes
done	5000
3	4678
2	1050
1	449
0	199

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize92.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
3.6b	(log (/ (cbrt y) (cbrt (+ z y))))
3.6b	(log (/ (cbrt y) (cbrt (+ z y))))
3.6b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite48.0ms

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

Counts

4 → 188

Calls

4 calls:

1.0ms	(cbrt y)
14.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
7.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series526.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(cbrt y)
86.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
107.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
109.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify2.3s

Counts

200 → 200

Iterations

Iter	Nodes
done	5017
4	4066
3	1461
2	546
1	318
0	173

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize118.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
10.4b	(log (/ y (+ z y)))
10.4b	(log (/ y (+ z y)))
10.4b	(log (/ y (+ z y)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

54×	`log-prod`
49×	`*-un-lft-identity`
36×	`times-frac`
29×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`add-exp-log`
10×	`distribute-lft-out`
7×	`pow1`
6×	`rem-log-exp` `associate-/r/`
4×	`cbrt-prod` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`log-div` `div-exp` `log-pow` `div-inv`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 101

Calls

4 calls:

70.0ms	(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
6.0ms	(log (/ y (+ z y)))
10.0ms	(log (/ y (+ z y)))
11.0ms	(log (/ y (+ z y)))

series509.0ms

Counts

4 → 12

Calls

4 calls:

344.0ms	(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
53.0ms	(log (/ y (+ z y)))
57.0ms	(log (/ y (+ z y)))
54.0ms	(log (/ y (+ z y)))

simplify1.7s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
3	2299
2	746
1	329
0	151

prune795.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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:

25.0ms	(+ (/ (exp (- z)) y) x)
9.0ms	(/ (exp (- z)) y)

series91.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(+ (/ (exp (- z)) y) x)
25.0ms	(/ (exp (- z)) y)

simplify1.8s

Counts

47 → 47

Iterations

Iter	Nodes
done	5017
3	2527
2	600
1	198
0	87

prune315.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes308.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample3.0s

Algorithm

intervals

Results

761.0ms	789×	body	1280	valid
736.0ms	919×	body	640	valid
605.0ms	6502×	body	80	valid
248.0ms	3008×	body	80	nan
204.0ms	575×	body	320	valid
59.0ms	330×	body	160	valid