Details

sample60.0ms

Algorithm

intervals

Results

12.0ms	24×	body	1280	valid
12.0ms	205×	body	80	valid
10.0ms	33×	body	640	valid
5.0ms	22×	body	320	valid
4.0ms	102×	body	80	nan
2.0ms	12×	body	160	valid

simplify1.9s

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: 7.4b

localize25.0ms

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)))

rewrite137.0ms

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:

100.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
9.0ms	(/ y (+ z y))
16.0ms	(* y (log (/ y (+ z y))))
6.0ms	(log (/ y (+ z y)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
59.0ms	(/ y (+ z y))
105.0ms	(* y (log (/ y (+ z y))))
66.0ms	(log (/ y (+ z y)))

simplify2.5s

Counts

152 → 152

Iterations

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

prune953.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize101.0ms

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))))

rewrite34.0ms

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)
8.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
7.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series644.0ms

Counts

4 → 12

Calls

4 calls:

302.0ms	(cbrt y)
109.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
113.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
120.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify2.9s

Counts

208 → 208

Iterations

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

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize85.0ms

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)))

rewrite98.0ms

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` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `div-exp` `log-pow` `div-inv`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 109

Calls

4 calls:

79.0ms	(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
5.0ms	(log (/ y (+ z y)))
5.0ms	(log (/ y (+ z y)))
6.0ms	(log (/ y (+ z y)))

series512.0ms

Counts

4 → 12

Calls

4 calls:

327.0ms	(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
67.0ms	(log (/ y (+ z y)))
66.0ms	(log (/ y (+ z y)))
52.0ms	(log (/ y (+ z y)))

simplify1.6s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
3	2415
2	797
1	343
0	155

prune733.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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:

22.0ms	(+ x (/ (exp (- z)) y))
24.0ms	(/ (exp (- z)) y)

series57.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ x (/ (exp (- z)) y))
30.0ms	(/ (exp (- z)) y)

simplify1.6s

Counts

54 → 54

Iterations

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

prune315.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes383.0ms

Accuracy

0% (0.9b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.0s	789×	body	1280	valid
817.0ms	6502×	body	80	valid
455.0ms	919×	body	640	valid
204.0ms	575×	body	320	valid
195.0ms	3008×	body	80	nan
61.0ms	330×	body	160	valid