Details

sample162.0ms

Algorithm

intervals

Results

67.0ms	380×	body	80	valid
41.0ms	387×	body	80	nan

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	24
1	37	24
2	84	24
3	244	24
4	860	24
5	4090	24
done	5001	24

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize34.0ms

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)
4.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite169.0ms

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:

25.0ms	(* (- x 0.5) (log x))
64.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
19.0ms	(- (* (- x 0.5) (log x)) x)
57.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series2.1s

Counts

4 → 12

Calls

4 calls:

484.0ms	(* (- x 0.5) (log x))
787.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
658.0ms	(- (* (- x 0.5) (log x)) x)
134.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.2s

Counts

110 → 110

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	213	1655
1	521	1589
2	1905	1479
done	5001	1476

prune789.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.5b

localize83.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
4.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite68.0ms

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:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
63.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.0s

Counts

4 → 12

Calls

4 calls:

272.0ms	(cbrt x)
304.0ms	(cbrt x)
307.0ms	(cbrt x)
141.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify448.0ms

Counts

74 → 74

Iterations

Useful iterations: done (434.0ms)

Iter	Nodes	Cost
0	97	893
1	224	870
2	902	792
done	5001	761

prune790.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.8b

localize58.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
4.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
5.1b	(pow x 1/3)

rewrite108.0ms

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:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
100.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
3.0ms	(pow x 1/3)

series1.0s

Counts

4 → 12

Calls

4 calls:

330.0ms	(cbrt x)
308.0ms	(cbrt x)
137.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
258.0ms	(pow x 1/3)

simplify605.0ms

Counts

81 → 81

Iterations

Useful iterations: done (602.0ms)

Iter	Nodes	Cost
0	124	946
1	314	881
2	1225	812
done	5000	789

prune527.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.8b

localize58.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
4.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
5.1b	(pow (pow x (sqrt 1/3)) (sqrt 1/3))
5.9b	(pow x (sqrt 1/3))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

1.0ms	(cbrt x)
77.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
6.0ms	(pow (pow x (sqrt 1/3)) (sqrt 1/3))
3.0ms	(pow x (sqrt 1/3))

series1.3s

Counts

4 → 12

Calls

4 calls:

291.0ms	(cbrt x)
127.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
534.0ms	(pow (pow x (sqrt 1/3)) (sqrt 1/3))
305.0ms	(pow x (sqrt 1/3))

simplify1.0s

Counts

98 → 98

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	170	1267
1	472	1191
2	2133	1086
done	5001	1016

prune591.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.8b

regimes380.0ms

Accuracy

85.2% (0.3b remaining)

Error of 4.0b against oracle of 3.7b and baseline of 6.0b

bsearch67.0ms

Steps

Iters	Range		Point
5	2.0417287249122424e+32	4.96478373285495e+32	2.912164811862225e+32

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	101
1	64	101
done	64	101

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.6s	11772×	body	80	valid
1.3s	11664×	body	80	nan