Details

sample157.0ms

Algorithm

intervals

Results

75.0ms	394×	body	80	valid
51.0ms	371×	body	80	nan

simplify935.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
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: 3.1b

localize46.0ms

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)) x)
0.2b	(* (- x 0.5) (log x))
2.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite140.0ms

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:

51.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
17.0ms	(- (* (- x 0.5) (log x)) x)
20.0ms	(* (- x 0.5) (log x))
49.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.6s

Counts

4 → 12

Calls

4 calls:

602.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
526.0ms	(- (* (- x 0.5) (log x)) x)
373.0ms	(* (- x 0.5) (log x))
98.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify748.0ms

Counts

114 → 114

Iterations

Iter	Nodes
done	2002
2	1482
1	530
0	220

prune771.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.1b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
2.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
45.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series799.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(cbrt x)
214.0ms	(cbrt x)
246.0ms	(cbrt x)
110.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify505.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	2001
2	643
1	226
0	99

prune588.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.1b

localize60.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
2.9b	(/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`associate-/r/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
37.0ms	(/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333))

series881.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(cbrt x)
240.0ms	(cbrt x)
251.0ms	(cbrt x)
148.0ms	(/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333))

simplify546.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	2002
2	855
1	260
0	113

prune644.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.9b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 0.5) (log x))
0.2b	(* (- x 0.5) (log x))
0.5b	(* (sqrt (+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)) (sqrt (+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)))
2.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite376.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
28×	`add-cube-cbrt`
26×	`sqrt-prod`
25×	`pow1`
17×	`associate-l`
15×	`associate-r`
12×	`log-prod` `add-cbrt-cube` `sqrt-div` `add-exp-log`
11×	`swap-sqr`
9×	`times-frac`
8×	`sqrt-pow1` `pow1/2`
7×	`flip3-+` `flip-+`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `distribute-lft-out` `unswap-sqr`
5×	`pow-prod-down` `pow-prod-up`
4×	`frac-times` `insert-posit16` `add-log-exp`
3×	`associate-/r` `prod-exp` `pow-sqr` `-commutative` `cbrt-unprod` `associate-/l*`
2×	`flip3--` `associate-*r/` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `rem-square-sqrt` `frac-2neg` `pow-plus` `sqrt-unprod` `div-exp` `div-inv`

Counts

4 → 153

Calls

4 calls:

18.0ms	(* (- x 0.5) (log x))
18.0ms	(* (- x 0.5) (log x))
268.0ms	(* (sqrt (+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)) (sqrt (+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)))
69.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.5s

Counts

4 → 12

Calls

4 calls:

385.0ms	(* (- x 0.5) (log x))
369.0ms	(* (- x 0.5) (log x))
640.0ms	(* (sqrt (+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)) (sqrt (+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)))
94.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify938.0ms

Counts

165 → 165

Iterations

Iter	Nodes
done	2002
2	1512
1	546
0	240

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.9b

regimes672.0ms

Accuracy

60.8% (1.4b remaining)

Error of 3.3b against oracle of 1.9b and baseline of 5.5b

bsearch166.0ms

Steps

Iters	Range		Point
8	3.6717919736952595e+127	1.837496827400855e+130	1.1968875348652573e+130

simplify11.0ms

Iterations

Iter	Nodes
done	74
1	74
0	52

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.3s	11809×	body	80	valid
2.1s	11773×	body	80	nan