Details

sample115.0ms

Algorithm

intervals

Results

45.0ms	374×	body	80	valid
36.0ms	333×	body	80	nan

simplify3.0s

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.1b	(* (- x 0.5) (log x))
0.2b	(- (* (- x 0.5) (log x)) x)
6.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
20×	`add-cube-cbrt`
12×	`log-prod`
10×	`add-cbrt-cube` `add-exp-log`
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/` `insert-posit16`
3×	`associate-/r` `flip3--` `flip--` `associate-/l`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `log-pow` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 100

Calls

4 calls:

53.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
25.0ms	(* (- x 0.5) (log x))
18.0ms	(- (* (- x 0.5) (log x)) x)
50.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
346.0ms	(* (- x 0.5) (log x))
714.0ms	(- (* (- x 0.5) (log x)) x)
111.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.4s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
2	1453
1	509
0	220

prune607.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.9b

localize71.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
6.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite81.0ms

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` `insert-posit16` `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 → 66

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
75.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series742.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(cbrt x)
202.0ms	(cbrt x)
242.0ms	(cbrt x)
103.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.6s

Counts

78 → 78

Iterations

Iter	Nodes
done	5022
3	2504
2	643
1	226
0	99

prune639.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize87.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 77

Calls

4 calls:

16.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

274.0ms	(* (cbrt x) (cbrt x))
234.0ms	(cbrt x)
265.0ms	(cbrt x)
264.0ms	(cbrt x)

simplify2.6s

Counts

89 → 89

Iterations

Iter	Nodes
done	5002
4	3832
3	1045
2	380
1	138
0	63

prune571.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.7b

localize89.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.5b	(cbrt x)
0.5b	(cbrt x)
5.2b	(pow x 1/3)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `unpow-prod-down`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

14.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
3.0ms	(pow x 1/3)

series1.3s

Counts

4 → 12

Calls

4 calls:

289.0ms	(* (cbrt x) (cbrt x))
236.0ms	(cbrt x)
246.0ms	(cbrt x)
515.0ms	(pow x 1/3)

simplify2.1s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
4	4400
3	1384
2	550
1	246
0	92

prune612.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.7b

regimes630.0ms

Accuracy

75.5% (1.4b remaining)

Error of 2.0b against oracle of 0.6b and baseline of 6.3b

bsearch1.0ms

simplify23.0ms

Iterations

Iter	Nodes
done	83
1	83
0	61

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.8s	11652×	body	80	nan
1.6s	11631×	body	80	valid