Details

sample66.0ms

Algorithm

intervals

Results

23.0ms	368×	body	80	valid
19.0ms	399×	body	80	nan

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	24
1	37	24
2	83	24
3	191	24
4	419	24
5	812	24
6	1487	24
7	3846	24
done	5000	24

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize18.0ms

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))
5.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite75.0ms

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:

31.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
8.0ms	(- (* (- x 0.5) (log x)) x)
11.0ms	(* (- x 0.5) (log x))
22.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.3s

Counts

4 → 12

Calls

4 calls:

477.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
477.0ms	(- (* (- x 0.5) (log x)) x)
278.0ms	(* (- x 0.5) (log x))
94.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.3s

Counts

110 → 110

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	213	1655
1	493	1589
2	1363	1469
3	4677	1419
done	5000	1419

prune462.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (* 2 (log (cbrt x))) (- x 0.5)) (* (- x 0.5) (log (cbrt x))))
0.6b	(cbrt x)
0.6b	(cbrt x)
5.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod` `associate-+r+` `log-prod`
9×	`times-frac`
8×	`distribute-rgt-in` `distribute-lft-in`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`pow1` `associate-+l+` `flip3--` `associate-r/` `associate-l/` `frac-add` `flip--`
3×	`associate-/r` `associate-/l`
2×	`sub-neg` `flip3-+` `pow1/3` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 82

Calls

4 calls:

14.0ms	(+ (* (* 2 (log (cbrt x))) (- x 0.5)) (* (- x 0.5) (log (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
22.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.5s

Counts

4 → 12

Calls

4 calls:

947.0ms	(+ (* (* 2 (log (cbrt x))) (- x 0.5)) (* (- x 0.5) (log (cbrt x))))
210.0ms	(cbrt x)
214.0ms	(cbrt x)
101.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify831.0ms

Counts

94 → 94

Iterations

Useful iterations: done (828.0ms)

Iter	Nodes	Cost
0	204	1724
1	545	1618
2	1840	1336
done	5001	1331

prune617.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* (log (cbrt x)) (- (* 3 x) 1.5)) x)
0.3b	(* (log (cbrt x)) (- (* 3 x) 1.5))
0.6b	(cbrt x)
5.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

8.0ms	(- (* (log (cbrt x)) (- (* 3 x) 1.5)) x)
12.0ms	(* (log (cbrt x)) (- (* 3 x) 1.5))
1.0ms	(cbrt x)
22.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.7s

Counts

4 → 12

Calls

4 calls:

894.0ms	(- (* (log (cbrt x)) (- (* 3 x) 1.5)) x)
499.0ms	(* (log (cbrt x)) (- (* 3 x) 1.5))
186.0ms	(cbrt x)
94.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.7s

Counts

94 → 94

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	183	1469
1	430	1410
2	1277	1272
3	4712	1194
done	5000	1194

prune407.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (cbrt x))
5.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
6.0b	(pow x 2/3)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod`
9×	`times-frac`
7×	`add-exp-log`
6×	`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-+` `div-exp` `pow-exp` `clear-num` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 71

Calls

4 calls:

0.0ms	(cbrt x)
1.0ms	(cbrt (cbrt x))
25.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
1.0ms	(pow x 2/3)

series757.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt x)
263.0ms	(cbrt (cbrt x))
108.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
195.0ms	(pow x 2/3)

simplify1.2s

Counts

83 → 83

Iterations

Useful iterations: 3 (463.0ms)

Iter	Nodes	Cost
0	146	989
1	315	937
2	758	861
3	2157	830
done	5000	830

prune417.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.5b

regimes461.0ms

Accuracy

82.6% (0.4b remaining)

Error of 4.1b against oracle of 3.7b and baseline of 5.8b

bsearch75.0ms

Steps

Iters	Range		Point
6	1.0950966540847606e+63	4.668787846420705e+63	2.718532407913492e+63

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	63
1	50	63
done	50	63

end0.0ms

sample1.7s

Algorithm

intervals

Results

643.0ms	11689×	body	80	valid
549.0ms	11638×	body	80	nan