Details

sample61.0ms

Algorithm

intervals

Results

19.0ms	383×	body	80	valid
18.0ms	421×	body	80	nan

simplify3.8s

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	813	24
6	1489	24
7	3854	24
done	5001	24

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
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)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
20×	`add-cube-cbrt`
12×	`log-prod`
10×	`add-exp-log` `add-cbrt-cube`
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/`
3×	`flip3--` `associate-/r` `flip--` `associate-/l`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `log-pow` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 96

Calls

4 calls:

22.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
7.0ms	(- (* (- x 0.5) (log x)) x)
11.0ms	(* (- x 0.5) (log x))
21.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series827.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
459.0ms	(- (* (- x 0.5) (log x)) x)
249.0ms	(* (- x 0.5) (log x))
80.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify895.0ms

Counts

108 → 108

Iterations

Useful iterations: done (892.0ms)

Iter	Nodes	Cost
0	216	1608
1	480	1562
2	1429	1420
done	5001	1384

prune360.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.3b

localize23.0ms

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)

rewrite24.0ms

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

series595.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt x)
168.0ms	(cbrt x)
169.0ms	(cbrt x)
79.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.0s

Counts

74 → 74

Iterations

Useful iterations: 3 (330.0ms)

Iter	Nodes	Cost
0	97	893
1	214	870
2	573	790
3	1696	761
done	5002	761

prune359.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.3b

localize21.0ms

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

rewrite39.0ms

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))))
0.0ms	(cbrt x)
0.0ms	(cbrt x)
21.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

783.0ms	(+ (* (* 2 (log (cbrt x))) (- x 0.5)) (* (- x 0.5) (log (cbrt x))))
183.0ms	(cbrt x)
187.0ms	(cbrt x)
81.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify746.0ms

Counts

94 → 94

Iterations

Useful iterations: done (743.0ms)

Iter	Nodes	Cost
0	204	1724
1	545	1620
2	1848	1342
done	5000	1337

prune497.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.3b

localize19.0ms

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

rewrite46.0ms

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:

11.0ms	(- (* (log (cbrt x)) (- (* 3 x) 1.5)) x)
11.0ms	(* (log (cbrt x)) (- (* 3 x) 1.5))
0.0ms	(cbrt x)
22.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.5s

Counts

4 → 12

Calls

4 calls:

806.0ms	(- (* (log (cbrt x)) (- (* 3 x) 1.5)) x)
467.0ms	(* (log (cbrt x)) (- (* 3 x) 1.5))
188.0ms	(cbrt x)
80.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.6s

Counts

94 → 94

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	183	1469
1	430	1410
2	1277	1272
3	4716	1229
done	5000	1221

prune342.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.3b

regimes454.0ms

Accuracy

87.9% (0.3b remaining)

Error of 4.1b against oracle of 3.8b and baseline of 6.0b

bsearch108.0ms

Steps

Iters	Range		Point
9	1.7496221259090696e+28	3.200728382323641e+35	2.2487158633549593e+30

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	82
1	66	82
done	66	82

end0.0ms

sample1.6s

Algorithm

intervals

Results

625.0ms	11754×	body	80	valid
514.0ms	11519×	body	80	nan