Details

sample176.0ms

Algorithm

intervals

Results

81.0ms	401×	body	80	nan
51.0ms	368×	body	80	valid

simplify3.3s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.1b	(* (- x 0.5) (log x))
0.1b	(- (* (- x 0.5) (log x)) x)
3.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite192.0ms

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)
29.0ms	(* (- x 0.5) (log x))
27.0ms	(- (* (- x 0.5) (log x)) x)
86.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.8s

Counts

4 → 12

Calls

4 calls:

630.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
416.0ms	(* (- x 0.5) (log x))
657.0ms	(- (* (- x 0.5) (log x)) x)
123.0ms	(/ (+ (* (- (* (+ 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

prune926.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.1b

localize57.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 0.5) (log (sqrt x)))
0.2b	(+ (- (* (- x 0.5) (log (sqrt x))) x) 0.91893853320467)
0.3b	(+ (* (- x 0.5) (log (sqrt x))) (+ (- (* (- x 0.5) (log (sqrt x))) x) 0.91893853320467))
3.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 129

Calls

4 calls:

30.0ms	(* (- x 0.5) (log (sqrt x)))
58.0ms	(+ (- (* (- x 0.5) (log (sqrt x))) x) 0.91893853320467)
122.0ms	(+ (* (- x 0.5) (log (sqrt x))) (+ (- (* (- x 0.5) (log (sqrt x))) x) 0.91893853320467))
65.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series692.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (- x 0.5) (log (sqrt x)))
226.0ms	(+ (- (* (- x 0.5) (log (sqrt x))) x) 0.91893853320467)
238.0ms	(+ (* (- x 0.5) (log (sqrt x))) (+ (- (* (- x 0.5) (log (sqrt x))) x) 0.91893853320467))
102.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.7s

Counts

141 → 141

Iterations

Iter	Nodes
done	5006
2	2623
1	772
0	288

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.0b

localize133.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (sqrt x))
0.5b	(cbrt (sqrt x))
0.5b	(cbrt (sqrt x))
3.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac` `sqrt-prod`
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 → 75

Calls

4 calls:

2.0ms	(cbrt (sqrt x))
2.0ms	(cbrt (sqrt x))
2.0ms	(cbrt (sqrt x))
47.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series650.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (sqrt x))
176.0ms	(cbrt (sqrt x))
204.0ms	(cbrt (sqrt x))
110.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.9s

Counts

87 → 87

Iterations

Iter	Nodes
done	5024
3	3395
2	747
1	261
0	115

prune797.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (sqrt x))
0.5b	(cbrt (sqrt x))
0.5b	(cbrt (sqrt x))
3.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac` `sqrt-prod`
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 → 75

Calls

4 calls:

1.0ms	(cbrt (sqrt x))
1.0ms	(cbrt (sqrt x))
1.0ms	(cbrt (sqrt x))
44.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series754.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt (sqrt x))
212.0ms	(cbrt (sqrt x))
202.0ms	(cbrt (sqrt x))
126.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.0s

Counts

87 → 87

Iterations

Iter	Nodes
done	5024
3	3395
2	747
1	261
0	115

prune717.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes613.0ms

Accuracy

96% (0.2b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 6.0b

bsearch168.0ms

Steps

Iters	Range		Point
8	73916.1930837012	31173338.6940611	16108315.755668392

simplify9.0ms

Iterations

Iter	Nodes
done	61
1	61
0	45

end0.0ms

sample3.8s

Algorithm

intervals

Results

2.1s	11823×	body	80	valid
1.2s	11750×	body	80	nan