Details

sample98.0ms

Algorithm

intervals

Results

35.0ms	407×	body	80	nan
25.0ms	363×	body	80	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4006
4	855
3	244
2	84
1	37
0	20

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize67.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 0.5) (log x))
0.2b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b	(- (* (- x 0.5) (log x)) x)
5.0b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite253.0ms

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`
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 → 98

Calls

4 calls:

36.0ms	(* (- x 0.5) (log x))
97.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
26.0ms	(- (* (- x 0.5) (log x)) x)
88.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.9s

Counts

4 → 12

Calls

4 calls:

413.0ms	(* (- x 0.5) (log x))
687.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
688.0ms	(- (* (- x 0.5) (log x)) x)
117.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.6s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	1981
1	527
0	216

prune1.5s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.5b

localize56.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (sqrt x)) (- x 0.5))
0.2b	(+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467)
0.3b	(+ (* (log (sqrt x)) (- x 0.5)) (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467))
5.0b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite340.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
14×	`add-cube-cbrt`
10×	`associate-+l+`
9×	`times-frac`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`sum-log` `sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `associate-*r/`
5×	`flip3-+` `associate-r` `flip-+`
4×	`frac-add` `associate--l+`
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-` `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 → 101

Calls

4 calls:

19.0ms	(* (log (sqrt x)) (- x 0.5))
91.0ms	(+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467)
161.0ms	(+ (* (log (sqrt x)) (- x 0.5)) (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467))
66.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series781.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(* (log (sqrt x)) (- x 0.5))
231.0ms	(+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467)
253.0ms	(+ (* (log (sqrt x)) (- x 0.5)) (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467))
148.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.1s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	3210
1	698
0	243

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.5b

localize122.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
5.0b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite74.0ms

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` `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 → 62

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
70.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series902.0ms

Counts

4 → 12

Calls

4 calls:

281.0ms	(cbrt x)
241.0ms	(cbrt x)
256.0ms	(cbrt x)
123.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.2s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	898
1	224
0	97

prune768.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize125.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467)
0.3b	(+ (* (log (sqrt x)) (- x 0.5)) (* (sqrt (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467)) (sqrt (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467))))
0.5b	(* (sqrt (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467)) (sqrt (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467)))
5.0b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite478.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity` `sqrt-div`
32×	`add-sqr-sqrt`
26×	`sqrt-prod`
22×	`associate-*r/`
21×	`flip3-+` `flip-+`
20×	`add-cube-cbrt`
19×	`pow1`
16×	`frac-add`
12×	`frac-times`
11×	`swap-sqr` `add-log-exp`
10×	`associate-+l+`
9×	`times-frac`
8×	`sqrt-pow1` `flip3--` `add-cbrt-cube` `pow1/2` `add-exp-log` `flip--`
7×	`associate-r` `associate-l` `distribute-lft-out`
6×	`associate-*l/`
5×	`sub-neg` `pow-prod-up`
4×	`distribute-rgt-in` `distribute-lft-in` `associate--l+` `unswap-sqr`
3×	`associate-/r` `sum-log` `pow-prod-down` `pow-sqr` `associate-/l`
2×	`+-commutative` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `rem-square-sqrt` `frac-2neg` `pow-plus` `sqrt-unprod` `diff-log` `div-exp` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `div-inv`

Counts

4 → 142

Calls

4 calls:

53.0ms	(+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467)
36.0ms	(+ (* (log (sqrt x)) (- x 0.5)) (* (sqrt (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467)) (sqrt (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467))))
318.0ms	(* (sqrt (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467)) (sqrt (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467)))
59.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series755.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467)
214.0ms	(+ (* (log (sqrt x)) (- x 0.5)) (* (sqrt (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467)) (sqrt (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467))))
212.0ms	(* (sqrt (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467)) (sqrt (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467)))
132.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.1s

Counts

154 → 154

Iterations

Iter	Nodes
done	5000
2	3470
1	806
0	300

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes861.0ms

Accuracy

92.3% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 6.1b

bsearch2.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	64
2	64
1	63
0	46

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.7s	11622×	body	80	valid
1.7s	11597×	body	80	nan