Details

sample62.0ms

Algorithm

intervals

Results

20.0ms	372×	body	80	valid
19.0ms	370×	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: 5.5b

localize16.0ms

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

rewrite68.0ms

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)
10.0ms	(* (- x 0.5) (log x))
20.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

434.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
426.0ms	(- (* (- x 0.5) (log x)) x)
250.0ms	(* (- x 0.5) (log x))
83.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.1s

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

prune393.0ms

Pruning

10 alts after pruning (10 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)

rewrite23.0ms

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)
20.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series634.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt x)
178.0ms	(cbrt x)
184.0ms	(cbrt x)
81.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify972.0ms

Counts

74 → 74

Iterations

Useful iterations: 3 (321.0ms)

Iter	Nodes	Cost
0	97	893
1	214	870
2	573	790
3	1696	761
done	5001	761

prune347.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
5.0b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
5.2b	(pow (/ 1 x) -1/3)

rewrite30.0ms

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:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
23.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
4.0ms	(pow (/ 1 x) -1/3)

series636.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt x)
180.0ms	(cbrt x)
87.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
181.0ms	(pow (/ 1 x) -1/3)

simplify1.4s

Counts

95 → 95

Iterations

Useful iterations: 3 (686.0ms)

Iter	Nodes	Cost
0	168	1157
1	369	1075
2	825	985
3	2224	952
done	5001	952

prune421.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (- x 0.5) (log (sqrt x))) (- (* (log (sqrt x)) (- x 0.5)) x))
0.2b	(* (log (sqrt x)) (- x 0.5))
0.2b	(* (- x 0.5) (log (sqrt x)))
5.0b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
24×	`add-cube-cbrt` `log-prod`
16×	`distribute-rgt-in` `distribute-lft-in`
12×	`pow1` `associate-+l+` `sqrt-prod`
11×	`associate-r` `associate-l`
10×	`add-exp-log` `add-cbrt-cube`
9×	`times-frac` `add-log-exp`
6×	`associate-+r+` `flip3--` `associate-*l/` `log-pow` `flip--`
5×	`sub-neg`
4×	`frac-add` `associate--l+`
3×	`associate-/r` `associate-/l`
2×	`sqrt-pow1` `flip3-+` `pow1/2` `associate-r/` `pow-prod-down` `prod-exp` `sum-log` `-commutative` `cbrt-unprod` `flip-+` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

4 → 130

Calls

4 calls:

19.0ms	(+ (* (- x 0.5) (log (sqrt x))) (- (* (log (sqrt x)) (- x 0.5)) x))
11.0ms	(* (log (sqrt x)) (- x 0.5))
12.0ms	(* (- x 0.5) (log (sqrt x)))
20.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series453.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(+ (* (- x 0.5) (log (sqrt x))) (- (* (log (sqrt x)) (- x 0.5)) x))
98.0ms	(* (log (sqrt x)) (- x 0.5))
101.0ms	(* (- x 0.5) (log (sqrt x)))
86.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify951.0ms

Counts

142 → 142

Iterations

Useful iterations: 2 (313.0ms)

Iter	Nodes	Cost
0	270	2607
1	670	2479
2	2288	2158
done	5000	2158

prune501.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.3b

regimes380.0ms

Accuracy

82.3% (0.3b remaining)

Error of 4.4b against oracle of 4.1b and baseline of 6.0b

bsearch82.0ms

Steps

Iters	Range		Point
7	1.8802742352016126e+87	1.1514081473628363e+89	2.0012039557004164e+87

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	63
1	50	63
done	50	63

end0.0ms

sample1.7s

Algorithm

intervals

Results

631.0ms	11786×	body	80	valid
557.0ms	11664×	body	80	nan