Details

sample164.0ms

Algorithm

intervals

Results

72.0ms	364×	body	80	valid
57.0ms	365×	body	80	nan

simplify3.2s

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize38.0ms

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)

rewrite135.0ms

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:

48.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
25.0ms	(* (- x 0.5) (log x))
17.0ms	(- (* (- x 0.5) (log x)) x)
43.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.7s

Counts

4 → 12

Calls

4 calls:

593.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
393.0ms	(* (- x 0.5) (log x))
572.0ms	(- (* (- x 0.5) (log x)) x)
105.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.4s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	1470
1	530
0	220

prune637.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.4b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`pow1` `associate-l`
10×	`add-cbrt-cube` `associate-r` `add-exp-log`
9×	`times-frac`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `log-pow` `add-log-exp`
4×	`associate--l+` `associate-*r/` `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` `frac-2neg` `flip3-+` `diff-log` `div-exp` `flip-+` `div-inv`

Counts

4 → 107

Calls

4 calls:

21.0ms	(* (log (sqrt x)) (- x 0.5))
16.0ms	(* (log (sqrt x)) (- x 0.5))
16.0ms	(- (* (log (sqrt x)) (- x 0.5)) x)
54.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series528.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (log (sqrt x)) (- x 0.5))
131.0ms	(* (log (sqrt x)) (- x 0.5))
190.0ms	(- (* (log (sqrt x)) (- x 0.5)) x)
93.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.4s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	1238
1	417
0	172

prune753.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

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

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
19×	`pow1`
18×	`sqrt-prod`
12×	`sqrt-div`
9×	`times-frac`
8×	`sqrt-pow1` `flip3--` `add-cbrt-cube` `pow1/2` `swap-sqr` `associate--l+` `add-exp-log` `flip--` `add-log-exp`
6×	`sub-neg` `associate-r` `associate-l`
5×	`pow-prod-up`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `insert-posit16` `unswap-sqr`
3×	`associate-/r` `pow-prod-down` `pow-sqr` `associate-/l`
2×	`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 → 122

Calls

4 calls:

17.0ms	(- (* (log (sqrt x)) (- x 0.5)) x)
14.0ms	(- (* (log (sqrt x)) (- x 0.5)) x)
100.0ms	(* (sqrt (- (* (log (sqrt x)) (- x 0.5)) x)) (sqrt (- (* (log (sqrt x)) (- x 0.5)) x)))
38.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series804.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(- (* (log (sqrt x)) (- x 0.5)) x)
229.0ms	(- (* (log (sqrt x)) (- x 0.5)) x)
217.0ms	(* (sqrt (- (* (log (sqrt x)) (- x 0.5)) x)) (sqrt (- (* (log (sqrt x)) (- x 0.5)) x)))
114.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.9s

Counts

134 → 134

Iterations

Iter	Nodes
done	5001
3	4970
2	1223
1	443
0	191

prune911.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize87.0ms

Local error

Found 4 expressions with local error:

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

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 132

Calls

4 calls:

22.0ms	(* (log (sqrt x)) (- x 0.5))
72.0ms	(- (* (sqrt (* (log (sqrt x)) (- x 0.5))) (sqrt (* (log (sqrt x)) (- x 0.5)))) x)
56.0ms	(* (sqrt (* (log (sqrt x)) (- x 0.5))) (sqrt (* (log (sqrt x)) (- x 0.5))))
56.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series660.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* (log (sqrt x)) (- x 0.5))
188.0ms	(- (* (sqrt (* (log (sqrt x)) (- x 0.5))) (sqrt (* (log (sqrt x)) (- x 0.5)))) x)
260.0ms	(* (sqrt (* (log (sqrt x)) (- x 0.5))) (sqrt (* (log (sqrt x)) (- x 0.5))))
101.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.9s

Counts

144 → 144

Iterations

Iter	Nodes
done	5001
2	1871
1	666
0	274

prune999.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

regimes1.2s

Accuracy

93.1% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 5.7b

bsearch2.0ms

simplify14.0ms

Iterations

Iter	Nodes
done	56
1	56
0	41

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.7s	11724×	body	80	nan
2.1s	11666×	body	80	valid