Details

sample91.0ms

Algorithm

intervals

Results

20.0ms	27×	body	1280	valid
18.0ms	207×	body	80	valid
13.0ms	30×	body	640	valid
7.0ms	24×	body	320	valid
6.0ms	96×	body	80	nan
2.0ms	9×	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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize43.0ms

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))))
5.6b	(log (/ y (+ z y)))

rewrite154.0ms

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:

14.0ms	(/ y (+ z y))
110.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
16.0ms	(* y (log (/ y (+ z y))))
5.0ms	(log (/ y (+ z y)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ y (+ z y))
109.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
90.0ms	(* y (log (/ y (+ z y))))
60.0ms	(log (/ y (+ z y)))

simplify1.2s

Counts

152 → 152

Iterations

Iter	Nodes
done	5000
2	1338
1	465
0	207

prune964.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (exp 0) y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`expm1-log1p-u` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

9.0ms

(+ x (/ (exp 0) y))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(+ x (/ (exp 0) y))

simplify1.9s

Counts

20 → 20

Iterations

Iter	Nodes
done	5001
3	2442
2	320
1	84
0	32

prune109.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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:

13.0ms	(+ x (/ (exp (- z)) y))
18.0ms	(/ (exp (- z)) y)

series71.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ x (/ (exp (- z)) y))
27.0ms	(/ (exp (- z)) y)

simplify864.0ms

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
2	747
1	200
0	89

prune353.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (log (/ y (+ z y))))
0.2b	(* (sqrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))) (sqrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))))
5.6b	(log (/ y (+ z y)))
5.6b	(log (/ y (+ z y)))

rewrite891.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
72×	`log-prod`
60×	`add-sqr-sqrt`
48×	`times-frac`
46×	`add-cube-cbrt`
26×	`sqrt-prod`
24×	`pow1`
18×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out`
14×	`add-exp-log`
12×	`sqrt-div`
11×	`swap-sqr` `associate-r`
10×	`flip3-+` `associate-l` `flip-+`
8×	`sqrt-pow1` `add-cbrt-cube` `pow1/2` `associate-/r/`
5×	`pow-prod-up` `unswap-sqr`
4×	`expm1-log1p-u` `frac-times` `rem-log-exp` `pow-prod-down` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow-sqr` `log-pow`
2×	`log-div` `div-exp` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 183

Calls

4 calls:

16.0ms	(* y (log (/ y (+ z y))))
850.0ms	(* (sqrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))) (sqrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))))
10.0ms	(log (/ y (+ z y)))
10.0ms	(log (/ y (+ z y)))

series392.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* y (log (/ y (+ z y))))
176.0ms	(* (sqrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))) (sqrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))))
55.0ms	(log (/ y (+ z y)))
63.0ms	(log (/ y (+ z y)))

simplify1.8s

Counts

195 → 195

Iterations

Iter	Nodes
done	5000
2	1694
1	550
0	255

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes338.0ms

Accuracy

70.2% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 2.4b

bsearch37.0ms

Steps

Iters	Range		Point
6	0.0021791553575483446	0.02896948912313928	0.028513151261711524

simplify4.0ms

Iterations

Iter	Nodes
done	17
1	17
0	14

end0.0ms

sample3.1s

Algorithm

intervals

Results

983.0ms	765×	body	1280	valid
719.0ms	6568×	body	80	valid
450.0ms	964×	body	640	valid
270.0ms	3063×	body	80	nan
200.0ms	539×	body	320	valid
61.0ms	313×	body	160	valid