Details

sample136.0ms

Algorithm

intervals

Results

42.0ms	367×	body	80	valid
39.0ms	377×	body	80	nan

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	24
1	37	24
2	84	24
3	244	24
4	860	24
5	4090	24
done	5001	24

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize23.0ms

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))
6.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite231.0ms

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:

72.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
32.0ms	(- (* (- x 0.5) (log x)) x)
30.0ms	(* (- x 0.5) (log x))
90.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.9s

Counts

4 → 12

Calls

4 calls:

607.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
700.0ms	(- (* (- x 0.5) (log x)) x)
468.0ms	(* (- x 0.5) (log x))
125.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.0s

Counts

110 → 110

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	213	1655
1	521	1589
2	1910	1479
done	5001	1476

prune641.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.5b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 0.5) (log (sqrt x)))
0.2b	(* (- x 0.5) (log (sqrt x)))
0.2b	(- (* (- x 0.5) (log (sqrt x))) x)
6.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 127

Calls

4 calls:

27.0ms	(* (- x 0.5) (log (sqrt x)))
30.0ms	(* (- x 0.5) (log (sqrt x)))
20.0ms	(- (* (- x 0.5) (log (sqrt x))) x)
82.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series633.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (- x 0.5) (log (sqrt x)))
171.0ms	(* (- x 0.5) (log (sqrt x)))
223.0ms	(- (* (- x 0.5) (log (sqrt x))) x)
133.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.1s

Counts

139 → 139

Iterations

Useful iterations: 2 (330.0ms)

Iter	Nodes	Cost
0	198	2066
1	454	1978
2	2019	1818
done	5002	1818

prune836.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.5b

localize69.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
6.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite75.0ms

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)
71.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series924.0ms

Counts

4 → 12

Calls

4 calls:

330.0ms	(cbrt x)
247.0ms	(cbrt x)
243.0ms	(cbrt x)
103.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify548.0ms

Counts

74 → 74

Iterations

Useful iterations: done (545.0ms)

Iter	Nodes	Cost
0	97	893
1	224	870
2	902	792
done	5001	761

prune737.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.5b

localize65.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
5.1b	(pow (/ 1 x) -1/3)
6.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite85.0ms

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)
2.0ms	(cbrt x)
9.0ms	(pow (/ 1 x) -1/3)
68.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

214.0ms	(cbrt x)
521.0ms	(cbrt x)
232.0ms	(pow (/ 1 x) -1/3)
123.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify553.0ms

Counts

95 → 95

Iterations

Useful iterations: done (548.0ms)

Iter	Nodes	Cost
0	168	1157
1	452	1075
2	1585	987
done	5000	967

prune793.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.5b

regimes499.0ms

Accuracy

90.4% (0.2b remaining)

Error of 4.4b against oracle of 4.2b and baseline of 6.6b

bsearch173.0ms

Steps

Iters	Range		Point
8	79133968.08064173	50002048225.12395	85213128.80680434

simplify9.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	48	85
1	64	85
done	64	85

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.6s	11708×	body	80	nan
1.3s	11568×	body	80	valid