Details

sample130.0ms

Algorithm

intervals

Results

43.0ms	219×	body	80	valid
19.0ms	34×	body	640	valid
17.0ms	19×	body	1280	valid
9.0ms	26×	body	320	valid
8.0ms	105×	body	80	nan
4.0ms	18×	body	160	valid

simplify4.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1869
6	549
5	215
4	92
3	44
2	25
1	18
0	10

prune36.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize134.0ms

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)))

rewrite376.0ms

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

Counts

4 → 129

Calls

4 calls:

210.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
49.0ms	(/ y (+ z y))
87.0ms	(* y (log (/ y (+ z y))))
20.0ms	(log (/ y (+ z y)))

series470.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
74.0ms	(/ y (+ z y))
141.0ms	(* y (log (/ y (+ z y))))
87.0ms	(log (/ y (+ z y)))

simplify11.6s

Counts

141 → 141

Iterations

Iter	Nodes
done	5007
3	4602
2	1048
1	449
0	199

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 12

Calls

1 calls:

24.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify4.2s

Counts

15 → 15

Iterations

Iter	Nodes
done	5018
3	1642
2	304
1	80
0	30

prune117.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite119.0ms

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×	`add-exp-log` `associate-/r` `associate-/l`
2×	`pow1` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `exp-neg` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 41

Calls

2 calls:

74.0ms	(+ (/ (exp (- z)) y) x)
43.0ms	(/ (exp (- z)) y)

series174.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(+ (/ (exp (- z)) y) x)
86.0ms	(/ (exp (- z)) y)

simplify6.2s

Counts

47 → 47

Iterations

Iter	Nodes
done	5003
3	1781
2	539
1	195
0	87

prune368.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize71.0ms

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))))

rewrite222.0ms

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×	`rem-log-exp` `add-cbrt-cube` `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 → 205

Calls

4 calls:

9.0ms	(cbrt (+ z y))
15.0ms	(cbrt (+ z y))
62.0ms	(* (cbrt (+ z y)) (cbrt (+ z y)))
66.0ms	(log (/ (/ y (* (cbrt (+ z y)) (cbrt (+ z y)))) (cbrt (+ z y))))

series1.2s

Counts

4 → 12

Calls

4 calls:

291.0ms	(cbrt (+ z y))
294.0ms	(cbrt (+ z y))
483.0ms	(* (cbrt (+ z y)) (cbrt (+ z y)))
141.0ms	(log (/ (/ y (* (cbrt (+ z y)) (cbrt (+ z y)))) (cbrt (+ z y))))

simplify5.2s

Counts

217 → 217

Iterations

Iter	Nodes
done	5000
2	2245
1	1047
0	439

prune3.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes739.0ms

Accuracy

89.4% (0.3b remaining)

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

bsearch253.0ms

Steps

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

simplify7.0ms

Iterations

Iter	Nodes
done	23
1	23
0	17

end0.0ms

sample11.7s

Algorithm

intervals

Results

5.0s	6480×	body	80	valid
2.6s	797×	body	1280	valid
1.4s	554×	body	320	valid
804.0ms	977×	body	640	valid
477.0ms	2938×	body	80	nan
95.0ms	330×	body	160	valid