Details

sample110.0ms

Algorithm

intervals

Results

28.0ms	32×	body	640	valid
21.0ms	27×	body	1280	valid
18.0ms	214×	body	80	valid
6.0ms	94×	body	80	nan
5.0ms	18×	body	320	valid
2.0ms	13×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	2094
5	507
4	152
3	54
2	27
1	18
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(exp (* y (log (/ y (+ z y)))))
0.1b	(* y (log (/ y (+ z y))))
10.0b	(log (/ y (+ z y)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
90×	`log-prod`
72×	`times-frac`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt`
36×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
19×	`distribute-lft-out`
12×	`associate-/r/`
11×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `div-inv` `add-log-exp`
4×	`expm1-log1p-u` `associate-/r` `associate-r*` `log1p-expm1-u`
3×	`associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `exp-prod` `clear-num` `frac-2neg` `exp-to-pow` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `rem-exp-log`

Counts

4 → 171

Calls

4 calls:

9.0ms	(/ y (+ z y))
14.0ms	(exp (* y (log (/ y (+ z y)))))
33.0ms	(* y (log (/ y (+ z y))))
11.0ms	(log (/ y (+ z y)))

series598.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ y (+ z y))
340.0ms	(exp (* y (log (/ y (+ z y)))))
135.0ms	(* y (log (/ y (+ z y))))
63.0ms	(log (/ y (+ z y)))

simplify1.7s

Counts

183 → 183

Iterations

Iter	Nodes
done	5001
2	2415
1	609
0	256

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize82.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
4.7b	(log (/ (cbrt y) (cbrt (+ z y))))
4.9b	(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

61×	`log-prod`
51×	`cbrt-prod`
46×	`*-un-lft-identity`
43×	`times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
14×	`cbrt-div`
10×	`associate-/r/`
7×	`flip3-+` `rem-log-exp` `flip-+`
6×	`pow1` `distribute-lft-out`
5×	`div-exp`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `prod-exp` `log1p-expm1-u` `add-log-exp`
2×	`log-div` `pow1/3` `associate-l/` `associate-r/` `log-pow` `div-inv`

Counts

4 → 116

Calls

4 calls:

3.0ms	(cbrt y)
1.0ms	(cbrt y)
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
18.0ms	(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

series871.0ms

Counts

4 → 12

Calls

4 calls:

324.0ms	(cbrt y)
299.0ms	(cbrt y)
114.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
133.0ms	(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

simplify1.2s

Counts

128 → 128

Iterations

Iter	Nodes
done	5001
2	1225
1	474
0	235

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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:

12.0ms	(+ x (/ (exp (- z)) y))
14.0ms	(/ (exp (- z)) y)

series70.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ x (/ (exp (- z)) y))
40.0ms	(/ (exp (- z)) y)

simplify1.0s

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
2	747
1	200
0	89

prune430.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ (exp (- z)) y)) (cbrt (/ (exp (- z)) y)))
0.4b	(cbrt (/ (exp (- z)) y))
0.4b	(cbrt (/ (exp (- z)) y))
0.4b	(cbrt (/ (exp (- z)) y))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

37.0ms	(* (cbrt (/ (exp (- z)) y)) (cbrt (/ (exp (- z)) y)))
12.0ms	(cbrt (/ (exp (- z)) y))
12.0ms	(cbrt (/ (exp (- z)) y))
10.0ms	(cbrt (/ (exp (- z)) y))

series522.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt (/ (exp (- z)) y)) (cbrt (/ (exp (- z)) y)))
138.0ms	(cbrt (/ (exp (- z)) y))
139.0ms	(cbrt (/ (exp (- z)) y))
90.0ms	(cbrt (/ (exp (- z)) y))

simplify1.6s

Counts

164 → 164

Iterations

Iter	Nodes
done	5001
2	1637
1	381
0	185

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes223.0ms

Accuracy

0% (1.5b remaining)

Error of 2.1b against oracle of 0.6b and baseline of 2.1b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	24
1	24
0	19

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.1s	6482×	body	80	valid
718.0ms	792×	body	1280	valid
494.0ms	969×	body	640	valid
229.0ms	2977×	body	80	nan
180.0ms	597×	body	320	valid
64.0ms	341×	body	160	valid