Details

sample107.0ms

Algorithm

intervals

Results

22.0ms	219×	body	80	valid
17.0ms	34×	body	640	valid
16.0ms	19×	body	1280	valid
9.0ms	26×	body	320	valid
8.0ms	105×	body	80	nan
4.0ms	18×	body	160	valid

simplify7.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5006
7	1985
6	562
5	220
4	94
3	44
2	25
1	18
0	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize37.0ms

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))))
9.5b	(log (/ y (+ z y)))

rewrite251.0ms

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` `associate-/r/` `add-cbrt-cube`
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` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 140

Calls

4 calls:

158.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
30.0ms	(/ y (+ z y))
39.0ms	(* y (log (/ y (+ z y))))
12.0ms	(log (/ y (+ z y)))

series618.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
89.0ms	(/ y (+ z y))
179.0ms	(* y (log (/ y (+ z y))))
103.0ms	(log (/ y (+ z y)))

simplify5.5s

Counts

152 → 152

Iterations

Iter	Nodes
done	5000
3	4641
2	1061
1	418
0	207

prune2.9s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 17

Calls

1 calls:

23.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify3.2s

Counts

20 → 20

Iterations

Iter	Nodes
done	5006
3	1258
2	299
1	84
0	32

prune183.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`times-frac`
17×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`fma-def`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `exp-neg` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `clear-num` `sum-log` `flip-+` `distribute-lft-out`

Counts

2 → 58

Calls

2 calls:

64.0ms	(+ (/ (exp (- z)) y) x)
24.0ms	(/ (exp (- z)) y)

series114.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(+ (/ (exp (- z)) y) x)
38.0ms	(/ (exp (- z)) y)

simplify9.7s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
3	1825
2	566
1	202
0	91

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ z y))
0.5b	(cbrt (+ z y))
0.5b	(* (cbrt (+ z y)) (cbrt (+ z y)))
31.5b	(log (/ (/ y (* (cbrt (+ z y)) (cbrt (+ z y)))) (cbrt (+ z y))))

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
111×	`log-prod`
107×	`*-un-lft-identity`
102×	`cbrt-div`
92×	`cbrt-prod`
67×	`add-sqr-sqrt`
59×	`add-cube-cbrt`
58×	`associate-/r/`
51×	`flip3-+` `flip-+`
32×	`frac-times`
23×	`distribute-lft-out`
16×	`add-exp-log` `associate-r/` `associate-l/`
12×	`pow1`
9×	`swap-sqr`
8×	`pow1/3` `div-inv`
7×	`associate-r` `associate-l`
5×	`div-exp`
4×	`expm1-log1p-u` `rem-log-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `prod-exp` `pow-sqr` `pow-prod-up`
1×	`pow2` `log-div` `pow-plus` `log-pow` `*-commutative` `cbrt-unprod`

Counts

4 → 213

Calls

4 calls:

8.0ms	(cbrt (+ z y))
8.0ms	(cbrt (+ z y))
82.0ms	(* (cbrt (+ z y)) (cbrt (+ z y)))
72.0ms	(log (/ (/ y (* (cbrt (+ z y)) (cbrt (+ z y)))) (cbrt (+ z y))))

series1.9s

Counts

4 → 12

Calls

4 calls:

588.0ms	(cbrt (+ z y))
329.0ms	(cbrt (+ z y))
461.0ms	(* (cbrt (+ z y)) (cbrt (+ z y)))
540.0ms	(log (/ (/ y (* (cbrt (+ z y)) (cbrt (+ z y)))) (cbrt (+ z y))))

simplify8.5s

Counts

225 → 225

Iterations

Iter	Nodes
done	5007
2	2328
1	1057
0	445

prune5.8s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes664.0ms

Accuracy

89.4% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.5b

bsearch419.0ms

Steps

Iters	Range		Point
8	4.5224959400262297e-23	7.509502996192297e-19	6.915604877957516e-19
10	-1.8404065813264728e+38	-1.4905769206520058e+27	-4.130317597818e+36

simplify13.0ms

Iterations

Iter	Nodes
done	23
1	23
0	17

end3.0ms

sample18.6s

Algorithm

intervals

Results

11.5s	6480×	body	80	valid
3.3s	797×	body	1280	valid
1.1s	977×	body	640	valid
792.0ms	2938×	body	80	nan
715.0ms	330×	body	160	valid
363.0ms	554×	body	320	valid