Details

sample123.0ms

Algorithm

intervals

Results

37.0ms	202×	body	80	valid
24.0ms	41×	body	640	valid
18.0ms	19×	body	1280	valid
8.0ms	102×	body	80	nan
6.0ms	16×	body	320	valid
2.0ms	10×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize20.0ms

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))))
8.0b	(log (/ y (+ z y)))

rewrite158.0ms

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:

113.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
9.0ms	(/ y (+ z y))
21.0ms	(* y (log (/ y (+ z y))))
5.0ms	(log (/ y (+ z y)))

series406.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
54.0ms	(/ y (+ z y))
140.0ms	(* y (log (/ y (+ z y))))
86.0ms	(log (/ y (+ z y)))

simplify1.3s

Counts

152 → 152

Iterations

Iter	Nodes
done	5001
2	1335
1	465
0	207

prune973.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize96.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
2.5b	(log (/ (cbrt y) (cbrt (+ z y))))
3.2b	(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

rewrite56.0ms

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:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
15.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
33.0ms	(log (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))))

series804.0ms

Counts

4 → 12

Calls

4 calls:

285.0ms	(cbrt y)
285.0ms	(cbrt y)
99.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
134.0ms	(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

prune1000.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (cbrt y) (cbrt (+ z y)))
0.6b	(cbrt (+ z y))
0.6b	(cbrt y)
2.5b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

104×	`cbrt-prod`
91×	`*-un-lft-identity`
84×	`times-frac`
63×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`log-prod`
14×	`distribute-lft-out`
9×	`add-exp-log`
7×	`associate-/r*`
6×	`cbrt-div` `associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`pow1/3` `div-exp` `rem-log-exp` `div-inv`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `log-pow`

Counts

4 → 161

Calls

4 calls:

21.0ms	(/ (cbrt y) (cbrt (+ z y)))
3.0ms	(cbrt (+ z y))
6.0ms	(cbrt y)
8.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series779.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(/ (cbrt y) (cbrt (+ z y)))
194.0ms	(cbrt (+ z y))
290.0ms	(cbrt y)
111.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify1.2s

Counts

173 → 173

Iterations

Iter	Nodes
done	5000
2	1343
1	418
0	220

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log` `associate-/l/`
1×	`neg-sub0` `exp-neg` `expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `exp-diff` `div-exp` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

17.0ms

(/ (exp (- z)) y)

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(/ (exp (- z)) y)

simplify2.6s

Counts

34 → 34

Iterations

Iter	Nodes
done	5000
3	3716
2	482
1	128
0	66

prune177.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes146.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.2b and baseline of 1.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	19
2	19
1	18
0	14

end0.0ms

sample2.8s

Algorithm

intervals

Results

847.0ms	968×	body	640	valid
592.0ms	6549×	body	80	valid
499.0ms	740×	body	1280	valid
237.0ms	2936×	body	80	nan
141.0ms	558×	body	320	valid
51.0ms	309×	body	160	valid