Details

sample153.0ms

Algorithm

intervals

Results

53.0ms	374×	body	80	valid
34.0ms	333×	body	80	nan

simplify5.7s

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize114.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.1b	(* (- x 0.5) (log x))
0.2b	(- (* (- x 0.5) (log x)) x)
6.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite289.0ms

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`
8×	`associate-l`
7×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--l+` `add-log-exp`
4×	`associate-*l/` `insert-posit16`
3×	`associate-/r` `flip3--` `flip--` `associate-/l`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `log-pow` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 100

Calls

4 calls:

118.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
34.0ms	(* (- x 0.5) (log x))
35.0ms	(- (* (- x 0.5) (log x)) x)
91.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.5s

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
407.0ms	(* (- x 0.5) (log x))
782.0ms	(- (* (- x 0.5) (log x)) x)
244.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify3.1s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
2	1462
1	509
0	220

prune1.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.3b

localize178.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
6.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite105.0ms

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:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
3.0ms	(cbrt x)
95.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

319.0ms	(cbrt x)
320.0ms	(cbrt x)
307.0ms	(cbrt x)
183.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify4.4s

Counts

78 → 78

Iterations

Iter	Nodes
done	5035
3	2460
2	642
1	226
0	99

prune1.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.3b

localize204.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
5.2b	(pow x 1/3)
6.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-exp-log`
6×	`cbrt-prod` `add-cbrt-cube`
5×	`pow1`
4×	`insert-posit16` `add-log-exp`
3×	`pow-unpow` `associate-/r` `unpow-prod-down` `associate-/l`
2×	`pow1/3` `associate-/l/`
1×	`pow-to-exp` `cbrt-undiv` `clear-num` `pow-pow` `frac-2neg` `flip3-+` `unpow1/3` `div-exp` `pow-exp` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 73

Calls

4 calls:

3.0ms	(cbrt x)
3.0ms	(cbrt x)
7.0ms	(pow x 1/3)
121.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

320.0ms	(cbrt x)
335.0ms	(cbrt x)
326.0ms	(pow x 1/3)
194.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify4.7s

Counts

85 → 85

Iterations

Iter	Nodes
done	5002
3	3019
2	843
1	308
0	127

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize219.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
5.2b	(pow (pow x (sqrt 1/3)) (sqrt 1/3))
6.0b	(pow x (sqrt 1/3))
6.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

3.0ms	(cbrt x)
15.0ms	(pow (pow x (sqrt 1/3)) (sqrt 1/3))
9.0ms	(pow x (sqrt 1/3))
124.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.6s

Counts

4 → 12

Calls

4 calls:

309.0ms	(cbrt x)
759.0ms	(pow (pow x (sqrt 1/3)) (sqrt 1/3))
336.0ms	(pow x (sqrt 1/3))
179.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify6.1s

Counts

102 → 102

Iterations

Iter	Nodes
done	5002
3	4737
2	1307
1	456
0	172

prune1.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes1.6s

Accuracy

96.3% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 6.4b

bsearch122.0ms

Steps

Iters	Range		Point
5	1.9756105794475683e+22	5.350792530299976e+22	2.0160595213046038e+22

simplify36.0ms

Iterations

Iter	Nodes
done	60
1	60
0	46

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.0s	11652×	body	80	nan
1.6s	11631×	body	80	valid