Details

sample78.0ms

Algorithm

intervals

Results

33.0ms	364×	body	80	valid
23.0ms	365×	body	80	nan

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3225
5	1468
4	651
3	234
2	83
1	37
0	20

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize61.0ms

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)

rewrite132.0ms

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:

47.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
16.0ms	(* (- x 0.5) (log x))
17.0ms	(- (* (- x 0.5) (log x)) x)
51.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.8s

Counts

4 → 12

Calls

4 calls:

745.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
378.0ms	(* (- x 0.5) (log x))
618.0ms	(- (* (- x 0.5) (log x)) x)
98.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.6s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	1470
1	530
0	220

prune876.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.4b

localize60.0ms

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)

rewrite168.0ms

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:

21.0ms	(* (- x 0.5) (log (sqrt x)))
35.0ms	(* (- x 0.5) (log (sqrt x)))
33.0ms	(- (* (- x 0.5) (log (sqrt x))) x)
77.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series659.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(* (- x 0.5) (log (sqrt x)))
136.0ms	(* (- x 0.5) (log (sqrt x)))
266.0ms	(- (* (- x 0.5) (log (sqrt x))) x)
99.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.8s

Counts

143 → 143

Iterations

Iter	Nodes
done	5001
3	4597
2	1233
1	460
0	203

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.1b

localize80.0ms

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)

rewrite219.0ms

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)
18.0ms	(- (* (- x 0.5) (log (sqrt x))) x)
123.0ms	(* (sqrt (- (* (- x 0.5) (log (sqrt x))) x)) (sqrt (- (* (- x 0.5) (log (sqrt x))) x)))
61.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series732.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(- (* (- x 0.5) (log (sqrt x))) x)
218.0ms	(- (* (- x 0.5) (log (sqrt x))) x)
208.0ms	(* (sqrt (- (* (- x 0.5) (log (sqrt x))) x)) (sqrt (- (* (- x 0.5) (log (sqrt x))) x)))
104.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.4s

Counts

150 → 150

Iterations

Iter	Nodes
done	5000
2	1260
1	459
0	206

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 1.1b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 0.5) (log (sqrt x)))
0.2b	(- (* (- x 0.5) (log (sqrt x))) 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)

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

57×	`pow1`
32×	`add-sqr-sqrt`
29×	`sqrt-pow1`
28×	`*-un-lft-identity`
26×	`add-cube-cbrt`
24×	`log-prod`
21×	`pow-prod-down`
16×	`associate-*l/` `sqrt-prod`
12×	`distribute-rgt-in` `distribute-lft-in` `sqrt-div` `associate--l+`
11×	`pow1/2`
10×	`add-cbrt-cube` `associate-r` `add-exp-log` `pow-prod-up`
9×	`times-frac` `associate-l`
8×	`flip3--` `flip--`
6×	`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` `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--` `difference-of-squares`

Counts

4 → 151

Calls

4 calls:

18.0ms	(* (- x 0.5) (log (sqrt x)))
25.0ms	(- (* (- x 0.5) (log (sqrt x))) x)
70.0ms	(* (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)

series710.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (- x 0.5) (log (sqrt x)))
236.0ms	(- (* (- x 0.5) (log (sqrt x))) x)
261.0ms	(* (sqrt (* (- x 0.5) (log (sqrt x)))) (sqrt (* (- x 0.5) (log (sqrt x)))))
89.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.2s

Counts

163 → 163

Iterations

Iter	Nodes
done	5000
2	2001
1	694
0	297

prune984.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 1.1b

regimes943.0ms

Accuracy

65.3% (1.8b remaining)

Error of 2.4b against oracle of 0.6b and baseline of 5.9b

bsearch119.0ms

Steps

Iters	Range		Point
7	1.0242821359526112e+84	4.579763274243466e+85	1.0048655881704563e+85

simplify11.0ms

Iterations

Iter	Nodes
done	51
1	51
0	38

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.9s	11724×	body	80	nan
1.4s	11666×	body	80	valid