Details

sample110.0ms

Algorithm

intervals

Results

25.0ms	27×	body	1280	valid
22.0ms	207×	body	80	valid
17.0ms	30×	body	640	valid
8.0ms	24×	body	320	valid
7.0ms	96×	body	80	nan
2.0ms	9×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1983
5	483
4	150
3	54
2	27
1	18
0	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize34.0ms

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)))

rewrite142.0ms

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:

11.0ms	(/ y (+ z y))
102.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
18.0ms	(* y (log (/ y (+ z y))))
5.0ms	(log (/ y (+ z y)))

series378.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(/ y (+ z y))
99.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
127.0ms	(* y (log (/ y (+ z y))))
82.0ms	(log (/ y (+ z y)))

simplify1.3s

Counts

141 → 141

Iterations

Iter	Nodes
done	5000
2	1293
1	451
0	199

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

19.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify2.3s

Counts

15 → 15

Iterations

Iter	Nodes
done	5000
3	2966
2	352
1	80
0	30

prune71.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

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:

29.0ms	(+ x (/ (exp (- z)) y))
20.0ms	(/ (exp (- z)) y)

series100.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ x (/ (exp (- z)) y))
47.0ms	(/ (exp (- z)) y)

simplify899.0ms

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
2	754
1	192
0	85

prune250.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize52.0ms

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)))

rewrite856.0ms

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×	`frac-times` `rem-log-exp` `pow-prod-down` `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 → 175

Calls

4 calls:

17.0ms	(* y (log (/ y (+ z y))))
812.0ms	(* (sqrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))) (sqrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))))
5.0ms	(log (/ y (+ z y)))
5.0ms	(log (/ y (+ z y)))

series510.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(* y (log (/ y (+ z y))))
194.0ms	(* (sqrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))) (sqrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))))
88.0ms	(log (/ y (+ z y)))
80.0ms	(log (/ y (+ z y)))

simplify1.8s

Counts

187 → 187

Iterations

Iter	Nodes
done	5001
2	1641
1	535
0	249

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes402.0ms

Accuracy

70.2% (0.7b remaining)

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

bsearch56.0ms

Steps

Iters	Range		Point
6	0.0021791553575483446	0.02896948912313928	0.028513151261711524

simplify5.0ms

Iterations

Iter	Nodes
done	17
1	17
0	14

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.1s	964×	body	640	valid
631.0ms	765×	body	1280	valid
551.0ms	6568×	body	80	valid
180.0ms	3063×	body	80	nan
149.0ms	539×	body	320	valid
54.0ms	313×	body	160	valid