Details

sample60.0ms

Algorithm

intervals

Results

20.0ms	372×	body	80	valid
17.0ms	370×	body	80	nan

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	24
1	37	24
2	83	24
3	193	24
4	428	24
5	866	24
6	1668	24
7	4116	24
done	5000	24

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize17.0ms

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

rewrite76.0ms

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×	`add-exp-log` `associate-+l+` `add-cbrt-cube`
7×	`pow1`
5×	`associate-l`
4×	`associate-r`
3×	`associate-/r` `associate-/l`
2×	`sub-neg` `flip3--` `flip3-+` `diff-log` `associate-*l/` `sum-log` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `log-pow` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

29.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
7.0ms	(- (* (- x 0.5) (log x)) x)
12.0ms	(* (- x 0.5) (log x))
25.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.4s

Counts

4 → 12

Calls

4 calls:

612.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
424.0ms	(- (* (- x 0.5) (log x)) x)
255.0ms	(* (- x 0.5) (log x))
87.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify523.0ms

Counts

110 → 110

Iterations

Useful iterations: done (520.0ms)

Iter	Nodes	Cost
0	213	1655
1	512	1589
2	1521	1477
done	5000	1428

prune407.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
5.0b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)
22.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series663.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt x)
181.0ms	(cbrt x)
204.0ms	(cbrt x)
85.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.2s

Counts

74 → 74

Iterations

Useful iterations: 3 (253.0ms)

Iter	Nodes	Cost
0	97	893
1	214	870
2	640	790
3	2755	761
done	5000	761

prune367.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
5.0b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
5.2b	(pow x 1/3)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-exp-log`
6×	`cbrt-prod` `add-cbrt-cube`
5×	`pow1`
4×	`add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `associate-/r` `associate-/l`
2×	`pow1/3` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `flip3-+` `unpow1/3` `div-exp` `pow-exp` `clear-num` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

0.0ms	(cbrt x)
1.0ms	(cbrt x)
23.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
1.0ms	(pow x 1/3)

series620.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt x)
181.0ms	(cbrt x)
86.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
175.0ms	(pow x 1/3)

simplify2.4s

Counts

81 → 81

Iterations

Useful iterations: 3 (461.0ms)

Iter	Nodes	Cost
0	124	946
1	277	879
2	959	810
3	4721	789
done	5000	789

prune420.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.3b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 146

Calls

4 calls:

24.0ms	(+ (* (- x 0.5) (log (sqrt x))) (- (* (- x 0.5) (log (sqrt x))) x))
17.0ms	(* (- x 0.5) (log (sqrt x)))
13.0ms	(* (- x 0.5) (log (sqrt x)))
22.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series462.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(+ (* (- x 0.5) (log (sqrt x))) (- (* (- x 0.5) (log (sqrt x))) x))
101.0ms	(* (- x 0.5) (log (sqrt x)))
101.0ms	(* (- x 0.5) (log (sqrt x)))
88.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.0s

Counts

158 → 158

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	251	2907
1	659	2601
2	2364	2375
done	5000	2373

prune535.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.3b

regimes329.0ms

Accuracy

89.7% (0.2b remaining)

Error of 4.3b against oracle of 4.1b and baseline of 6.0b

bsearch66.0ms

Steps

Iters	Range		Point
6	12169712469967.395	91983697529749.86	38583220048788.38

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	65
1	54	65
done	54	65

end0.0ms

sample1.7s

Algorithm

intervals

Results

629.0ms	11786×	body	80	valid
530.0ms	11664×	body	80	nan