Details

sample60.0ms

Algorithm

intervals

Results

19.0ms	368×	body	80	valid
18.0ms	399×	body	80	nan

simplify3.4s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize17.0ms

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)

rewrite77.0ms

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:

28.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
7.0ms	(- (* (- x 0.5) (log x)) x)
16.0ms	(* (- 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:

452.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
444.0ms	(- (* (- x 0.5) (log x)) x)
268.0ms	(* (- x 0.5) (log x))
94.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.4s

Counts

110 → 110

Iterations

Useful iterations: 3 (1.2s)

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

prune412.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.5b

localize23.0ms

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

series1.3s

Counts

4 → 12

Calls

4 calls:

857.0ms	(+ (* (* 2 (log (cbrt x))) (- x 0.5)) (* (- x 0.5) (log (cbrt x))))
195.0ms	(cbrt x)
190.0ms	(cbrt x)
94.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify774.0ms

Counts

94 → 94

Iterations

Useful iterations: done (771.0ms)

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

prune506.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* (log (* (cbrt (- x)) (cbrt -1))) (- (* 3 x) 1.5)) x)
0.3b	(* (log (* (cbrt (- x)) (cbrt -1))) (- (* 3 x) 1.5))
0.6b	(cbrt (- x))
5.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

11.0ms	(- (* (log (* (cbrt (- x)) (cbrt -1))) (- (* 3 x) 1.5)) x)
23.0ms	(* (log (* (cbrt (- x)) (cbrt -1))) (- (* 3 x) 1.5))
1.0ms	(cbrt (- x))
26.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series2.2s

Counts

4 → 12

Calls

4 calls:

1.2s	(- (* (log (* (cbrt (- x)) (cbrt -1))) (- (* 3 x) 1.5)) x)
666.0ms	(* (log (* (cbrt (- x)) (cbrt -1))) (- (* 3 x) 1.5))
215.0ms	(cbrt (- x))
97.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.3s

Counts

102 → 102

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	198	1806
1	445	1733
2	1328	1550
3	4854	1515
done	5000	1515

prune488.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.5b

localize34.0ms

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)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-exp-log`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `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` `neg-mul-1` `pow-pow` `frac-2neg` `flip3-+` `div-exp` `pow-exp` `clear-num` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 81

Calls

4 calls:

0.0ms	(cbrt x)
2.0ms	(cbrt (- (cbrt x)))
22.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
1.0ms	(pow x 2/3)

series810.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(cbrt x)
319.0ms	(cbrt (- (cbrt x)))
96.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
192.0ms	(pow x 2/3)

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: 3 (460.0ms)

Iter	Nodes	Cost
0	168	1103
1	339	1045
2	794	964
3	2214	933
done	5000	933

prune769.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.5b

regimes522.0ms

Accuracy

81.8% (0.4b remaining)

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

bsearch79.0ms

Steps

Iters	Range		Point
6	1.0950966540847606e+63	4.668787846420705e+63	2.2891311917030867e+63

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	99
1	68	99
done	68	99

end0.0ms

sample1.6s

Algorithm

intervals

Results

611.0ms	11689×	body	80	valid
528.0ms	11638×	body	80	nan