Details

sample116.0ms

Algorithm

intervals

Results

41.0ms	367×	body	80	valid
37.0ms	341×	body	80	nan

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3225
5	1468
4	651
3	234
2	83
1	37
0	20

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize73.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* (- x 0.5) (log x)) x)
0.2b	(* (- x 0.5) (log x))
0.2b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
5.0b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite156.0ms

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×	`associate-+l+` `add-cbrt-cube` `add-exp-log`
7×	`pow1`
5×	`associate-l`
4×	`associate-r`
3×	`associate-/r` `associate-/l`
2×	`sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `associate-*l/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `associate-+l-` `cbrt-unprod` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

13.0ms	(- (* (- x 0.5) (log x)) x)
18.0ms	(* (- x 0.5) (log x))
54.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
65.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series2.0s

Counts

4 → 12

Calls

4 calls:

714.0ms	(- (* (- x 0.5) (log x)) x)
372.0ms	(* (- x 0.5) (log x))
759.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
134.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.6s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1468
1	526
0	216

prune946.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.8b

localize96.0ms

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)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
52.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series920.0ms

Counts

4 → 12

Calls

4 calls:

298.0ms	(cbrt x)
265.0ms	(cbrt x)
234.0ms	(cbrt x)
121.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.8s

Counts

74 → 74

Iterations

Iter	Nodes
done	5010
3	2513
2	639
1	224
0	97

prune793.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.8b

localize125.0ms

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)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
51.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series962.0ms

Counts

4 → 12

Calls

4 calls:

289.0ms	(cbrt x)
292.0ms	(cbrt x)
268.0ms	(cbrt x)
112.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.5s

Counts

74 → 74

Iterations

Iter	Nodes
done	5010
3	2513
2	639
1	224
0	97

prune730.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.8b

localize65.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 0.5) (log x))
0.2b	(+ (- (* (sqrt (* (- x 0.5) (log x))) (sqrt (* (- x 0.5) (log x)))) x) 0.91893853320467)
0.5b	(* (sqrt (* (- x 0.5) (log x))) (sqrt (* (- x 0.5) (log x))))
5.0b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite514.0ms

Algorithm

rewrite-expression-head

Rules

56×	`pow1`
28×	`sqrt-pow1`
26×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
21×	`pow-prod-down`
20×	`add-cube-cbrt`
16×	`associate-*l/`
12×	`sqrt-div`
10×	`add-cbrt-cube` `pow1/2` `add-exp-log` `pow-prod-up`
9×	`times-frac` `associate-l` `add-log-exp`
8×	`associate-r`
7×	`flip3--` `flip--`
6×	`log-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `sqrt-prod`
3×	`distribute-rgt-in` `associate-/r` `distribute-lft-in` `associate-/l`
2×	`associate-+l+` `sum-log` `flip3-+` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr` `associate-/l/`
1×	`pow2` `cbrt-undiv` `+-commutative` `clear-num` `sub-neg` `rem-square-sqrt` `frac-2neg` `pow-plus` `sqrt-unprod` `diff-log` `div-exp` `log-pow` `associate-+l-` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 131

Calls

4 calls:

33.0ms	(* (- x 0.5) (log x))
363.0ms	(+ (- (* (sqrt (* (- x 0.5) (log x))) (sqrt (* (- x 0.5) (log x)))) x) 0.91893853320467)
67.0ms	(* (sqrt (* (- x 0.5) (log x))) (sqrt (* (- x 0.5) (log x))))
42.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.4s

Counts

4 → 12

Calls

4 calls:

434.0ms	(* (- x 0.5) (log x))
491.0ms	(+ (- (* (sqrt (* (- x 0.5) (log x))) (sqrt (* (- x 0.5) (log x)))) x) 0.91893853320467)
320.0ms	(* (sqrt (* (- x 0.5) (log x))) (sqrt (* (- x 0.5) (log x))))
139.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify3.4s

Counts

143 → 143

Iterations

Iter	Nodes
done	5001
2	2802
1	928
0	360

prune1.1s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 2.8b

regimes1.3s

Accuracy

82.4% (0.4b remaining)

Error of 4.1b against oracle of 3.7b and baseline of 5.9b

bsearch147.0ms

Steps

Iters	Range		Point
9	1.2388452568507765e+31	2.5431457216642727e+36	3.9120322101589186e+34

simplify21.0ms

Iterations

Iter	Nodes
done	66
1	66
0	49

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.9s	11723×	body	80	valid
1.4s	11550×	body	80	nan