Details

sample85.0ms

Algorithm

intervals

Results

30.0ms	364×	body	80	valid
24.0ms	323×	body	80	nan

simplify3.5s

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: 5.2b

localize39.0ms

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))
4.7b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite163.0ms

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:

47.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
16.0ms	(- (* (- x 0.5) (log x)) x)
38.0ms	(* (- x 0.5) (log x))
60.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.8s

Counts

4 → 12

Calls

4 calls:

643.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
565.0ms	(- (* (- x 0.5) (log x)) x)
435.0ms	(* (- x 0.5) (log x))
155.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.7s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1468
1	526
0	216

prune947.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.2b	(* (- x 0.5) (log x))
0.3b	(+ (* (- x 0.5) (log x)) (- 0.91893853320467 x))
4.7b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

47.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
29.0ms	(* (- x 0.5) (log x))
21.0ms	(+ (* (- x 0.5) (log x)) (- 0.91893853320467 x))
48.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.3s

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
381.0ms	(* (- x 0.5) (log x))
663.0ms	(+ (* (- x 0.5) (log x)) (- 0.91893853320467 x))
131.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.0s

Counts

115 → 115

Iterations

Iter	Nodes
done	5002
2	2245
1	684
0	258

prune871.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 0.5) (log x))
0.3b	(+ (* (- x 0.5) (log x)) (- 0.91893853320467 x))
4.7b	(/ (+ (- (* (* z z) (+ 0.0007936500793651 y)) (* z 0.0027777777777778)) 0.083333333333333) x)
4.9b	(* (* z z) (+ 0.0007936500793651 y))

rewrite385.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

26.0ms	(* (- x 0.5) (log x))
21.0ms	(+ (* (- x 0.5) (log x)) (- 0.91893853320467 x))
304.0ms	(/ (+ (- (* (* z z) (+ 0.0007936500793651 y)) (* z 0.0027777777777778)) 0.083333333333333) x)
30.0ms	(* (* z z) (+ 0.0007936500793651 y))

series1.2s

Counts

4 → 12

Calls

4 calls:

420.0ms	(* (- x 0.5) (log x))
601.0ms	(+ (* (- x 0.5) (log x)) (- 0.91893853320467 x))
116.0ms	(/ (+ (- (* (* z z) (+ 0.0007936500793651 y)) (* z 0.0027777777777778)) 0.083333333333333) x)
46.0ms	(* (* z z) (+ 0.0007936500793651 y))

simplify1.9s

Counts

124 → 124

Iterations

Iter	Nodes
done	5000
2	2641
1	755
0	268

prune997.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (+ (sqrt x) (sqrt 0.5)) (* (- (sqrt x) (sqrt 0.5)) (log x))) (- 0.91893853320467 x))
0.3b	(* (- (sqrt x) (sqrt 0.5)) (log x))
0.4b	(* (+ (sqrt x) (sqrt 0.5)) (* (- (sqrt x) (sqrt 0.5)) (log x)))
4.7b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 145

Calls

4 calls:

84.0ms	(+ (* (+ (sqrt x) (sqrt 0.5)) (* (- (sqrt x) (sqrt 0.5)) (log x))) (- 0.91893853320467 x))
36.0ms	(* (- (sqrt x) (sqrt 0.5)) (log x))
82.0ms	(* (+ (sqrt x) (sqrt 0.5)) (* (- (sqrt x) (sqrt 0.5)) (log x)))
48.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

550.0ms	(+ (* (+ (sqrt x) (sqrt 0.5)) (* (- (sqrt x) (sqrt 0.5)) (log x))) (- 0.91893853320467 x))
125.0ms	(* (- (sqrt x) (sqrt 0.5)) (log x))
324.0ms	(* (+ (sqrt x) (sqrt 0.5)) (* (- (sqrt x) (sqrt 0.5)) (log x)))
124.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.9s

Counts

157 → 157

Iterations

Iter	Nodes
done	5001
1	1482
0	431

prune1.2s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.0b

regimes961.0ms

Accuracy

0% (2.1b remaining)

Error of 5.9b against oracle of 3.8b and baseline of 5.9b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	28
1	28
0	21

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.5s	11584×	body	80	valid
1.5s	11760×	body	80	nan