Details

sample65.0ms

Algorithm

intervals

Results

19.0ms	369×	body	80	valid
18.0ms	322×	body	80	nan

simplify56.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	12
1	84	12
2	245	12
3	581	12
4	1280	12
5	2462	12
6	5001	12
done	5001	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* (- x 0.5) (log x)) x)
0.2b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b	(* (- x 0.5) (log x))
5.2b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite150.0ms

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:

18.0ms	(- (* (- x 0.5) (log x)) x)
57.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
22.0ms	(* (- x 0.5) (log x))
50.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

433.0ms	(- (* (- x 0.5) (log x)) x)
422.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
250.0ms	(* (- x 0.5) (log x))
89.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify50.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	501	839
1	1642	776
2	5001	763
done	5001	763

prune406.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.4b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

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)
52.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series647.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt x)
184.0ms	(cbrt x)
187.0ms	(cbrt x)
91.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify102.0ms

Counts

74 → 74

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	212	462
1	697	420
2	3321	413
3	5001	410
done	5001	410

prune392.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
5.1b	(pow (/ 1 x) -1/3)
5.2b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
7.0ms	(pow (/ 1 x) -1/3)
52.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series641.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt x)
183.0ms	(cbrt x)
185.0ms	(pow (/ 1 x) -1/3)
92.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify46.0ms

Counts

95 → 95

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	365	576
1	1288	519
2	5001	507
done	5001	507

prune487.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.3b

localize41.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt -1/3) (cbrt -1/3))
4.0b	(pow (/ 1 x) (* (cbrt -1/3) (cbrt -1/3)))
5.2b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
5.4b	(pow (pow (/ 1 x) (* (cbrt -1/3) (cbrt -1/3))) (cbrt -1/3))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
43×	`unpow-prod-down`
37×	`add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
19×	`add-exp-log` `cbrt-prod`
14×	`pow-exp`
13×	`pow1`
7×	`pow-unpow`
6×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube`
5×	`div-exp`
4×	`pow-pow` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `associate-/r` `div-inv` `associate-/l` `sqr-pow`
2×	`rec-exp` `1-exp` `pow-prod-down` `pow-sqr` `pow-prod-up` `associate-/l/`
1×	`cbrt-undiv` `pow2` `pow-flip` `frac-2neg` `flip3-+` `pow-plus` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `flip-+` `inv-pow`

Counts

4 → 138

Calls

4 calls:

12.0ms	(* (cbrt -1/3) (cbrt -1/3))
7.0ms	(pow (/ 1 x) (* (cbrt -1/3) (cbrt -1/3)))
49.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
16.0ms	(pow (pow (/ 1 x) (* (cbrt -1/3) (cbrt -1/3))) (cbrt -1/3))

series836.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(* (cbrt -1/3) (cbrt -1/3))
247.0ms	(pow (/ 1 x) (* (cbrt -1/3) (cbrt -1/3)))
119.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
470.0ms	(pow (pow (/ 1 x) (* (cbrt -1/3) (cbrt -1/3))) (cbrt -1/3))

simplify63.0ms

Counts

148 → 148

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	579	1247
1	2262	1140
2	5002	1011
done	5002	1011

prune646.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.3b

regimes362.0ms

Accuracy

73.2% (0.3b remaining)

Error of 5.0b against oracle of 4.7b and baseline of 5.9b

bsearch75.0ms

Steps

Iters	Range		Point
6	3.451047137081975e+135	2.1548807829336826e+136	7.263854719572083e+135

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	48
1	68	48
done	68	48

end0.0ms

sample1.8s

Algorithm

intervals

Results

609.0ms	11480×	body	80	valid
517.0ms	11432×	body	80	nan