Details

sample135.0ms

Algorithm

intervals

Results

60.0ms	364×	body	80	valid
46.0ms	365×	body	80	nan

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	2972
5	1500
4	680
3	238
2	84
1	37
0	20

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b	(* (- x 0.5) (log x))
0.2b	(- (* (- x 0.5) (log x)) x)
6.7b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`log-prod`
12×	`associate--l+`
11×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in` `times-frac`
8×	`associate-+l+` `add-cbrt-cube` `add-exp-log`
7×	`pow1`
5×	`associate-l`
4×	`associate-r` `insert-posit16`
3×	`associate-/r` `associate-/l`
2×	`sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `associate-*l/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `associate-+l-` `cbrt-unprod` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

71.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
31.0ms	(* (- x 0.5) (log x))
25.0ms	(- (* (- x 0.5) (log x)) x)
64.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series2.2s

Counts

4 → 12

Calls

4 calls:

1.0s	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
394.0ms	(* (- x 0.5) (log x))
687.0ms	(- (* (- x 0.5) (log x)) x)
103.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.5s

Counts

114 → 114

Iterations

Iter	Nodes
done	5016
2	1515
1	530
0	220

prune843.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.4b

localize86.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 0.5) (log (sqrt x)))
0.2b	(* (- x 0.5) (log (sqrt x)))
0.2b	(- (* (- x 0.5) (log (sqrt x))) x)
6.7b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt` `log-prod`
32×	`*-un-lft-identity`
28×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod`
12×	`pow1` `associate-r` `associate--l+`
10×	`add-cbrt-cube` `associate-l` `add-exp-log`
9×	`times-frac`
6×	`log-pow` `add-log-exp`
4×	`associate-*l/` `insert-posit16`
3×	`associate-/r` `flip3--` `flip--` `associate-/l`
2×	`sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `flip-+` `div-inv`

Counts

4 → 131

Calls

4 calls:

34.0ms	(* (- x 0.5) (log (sqrt x)))
38.0ms	(* (- x 0.5) (log (sqrt x)))
23.0ms	(- (* (- x 0.5) (log (sqrt x))) x)
69.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series610.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (- x 0.5) (log (sqrt x)))
145.0ms	(* (- x 0.5) (log (sqrt x)))
236.0ms	(- (* (- x 0.5) (log (sqrt x))) x)
113.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.7s

Counts

143 → 143

Iterations

Iter	Nodes
done	5002
3	4811
2	1297
1	460
0	203

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.3b

localize76.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* (- x 0.5) (log (sqrt x))) x)
0.2b	(- (* (- x 0.5) (log (sqrt x))) x)
0.5b	(* (sqrt (- (* (- x 0.5) (log (sqrt x))) x)) (sqrt (- (* (- x 0.5) (log (sqrt x))) x)))
6.7b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
30×	`sqrt-prod`
28×	`*-un-lft-identity` `add-cube-cbrt`
24×	`log-prod` `associate--l+`
19×	`pow1`
12×	`distribute-rgt-in` `distribute-lft-in` `sqrt-div`
9×	`times-frac`
8×	`sqrt-pow1` `flip3--` `add-cbrt-cube` `pow1/2` `swap-sqr` `add-exp-log` `flip--` `add-log-exp`
6×	`associate-r` `associate-l`
5×	`pow-prod-up`
4×	`frac-times` `insert-posit16` `unswap-sqr`
3×	`associate-/r` `pow-prod-down` `pow-sqr` `associate-/l`
2×	`sub-neg` `diff-log` `associate-l/` `associate-r/` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `rem-square-sqrt` `frac-2neg` `flip3-+` `pow-plus` `sqrt-unprod` `div-exp` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv`

Counts

4 → 138

Calls

4 calls:

14.0ms	(- (* (- x 0.5) (log (sqrt x))) x)
23.0ms	(- (* (- x 0.5) (log (sqrt x))) x)
115.0ms	(* (sqrt (- (* (- x 0.5) (log (sqrt x))) x)) (sqrt (- (* (- x 0.5) (log (sqrt x))) x)))
69.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series805.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(- (* (- x 0.5) (log (sqrt x))) x)
210.0ms	(- (* (- x 0.5) (log (sqrt x))) x)
237.0ms	(* (sqrt (- (* (- x 0.5) (log (sqrt x))) x)) (sqrt (- (* (- x 0.5) (log (sqrt x))) x)))
118.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.4s

Counts

150 → 150

Iterations

Iter	Nodes
done	5001
3	4799
2	1288
1	459
0	206

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.3b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 0.5) (log (sqrt x)))
0.2b	(- (* (sqrt (* (- x 0.5) (log (sqrt x)))) (sqrt (* (- x 0.5) (log (sqrt x))))) x)
0.5b	(* (sqrt (* (- x 0.5) (log (sqrt x)))) (sqrt (* (- x 0.5) (log (sqrt x)))))
6.7b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

57×	`pow1`
29×	`add-sqr-sqrt` `sqrt-pow1`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
21×	`pow-prod-down`
16×	`associate-*l/`
12×	`log-prod` `sqrt-div`
11×	`pow1/2`
10×	`add-cbrt-cube` `associate-r` `add-exp-log` `pow-prod-up` `sqrt-prod`
9×	`times-frac` `associate-l`
8×	`flip3--` `flip--`
6×	`distribute-rgt-in` `distribute-lft-in` `pow-sqr` `add-log-exp`
4×	`frac-times` `swap-sqr` `insert-posit16`
3×	`associate-/r` `log-pow` `associate-/l`
2×	`prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `sub-neg` `rem-square-sqrt` `frac-2neg` `flip3-+` `pow-plus` `sqrt-unprod` `diff-log` `div-exp` `flip-+` `div-inv` `distribute-lft-out--`

Counts

4 → 140

Calls

4 calls:

19.0ms	(* (- x 0.5) (log (sqrt x)))
81.0ms	(- (* (sqrt (* (- x 0.5) (log (sqrt x)))) (sqrt (* (- x 0.5) (log (sqrt x))))) x)
51.0ms	(* (sqrt (* (- x 0.5) (log (sqrt x)))) (sqrt (* (- x 0.5) (log (sqrt x)))))
40.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series619.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (- x 0.5) (log (sqrt x)))
187.0ms	(- (* (sqrt (* (- x 0.5) (log (sqrt x)))) (sqrt (* (- x 0.5) (log (sqrt x))))) x)
224.0ms	(* (sqrt (* (- x 0.5) (log (sqrt x)))) (sqrt (* (- x 0.5) (log (sqrt x)))))
88.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.7s

Counts

152 → 152

Iterations

Iter	Nodes
done	5000
2	2017
1	697
0	298

prune708.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.3b

regimes498.0ms

Accuracy

85.4% (0.3b remaining)

Error of 3.9b against oracle of 3.5b and baseline of 5.7b

bsearch112.0ms

Steps

Iters	Range		Point
6	6.459384486314177e+29	5.0566767589931827e+30	6.901387925691936e+29

simplify14.0ms

Iterations

Iter	Nodes
done	51
2	51
1	50
0	39

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.8s	11724×	body	80	nan
2.3s	11666×	body	80	valid