Details

sample192.0ms

Algorithm

intervals

Results

73.0ms	379×	body	80	valid
61.0ms	470×	body	80	nan

simplify5.9s

Counts

1 → 1

Iterations

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

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize229.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.2b	(- (* (- x 0.5) (log x)) x)
0.2b	(* (- x 0.5) (log x))
5.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite453.0ms

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:

154.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
70.0ms	(- (* (- x 0.5) (log x)) x)
88.0ms	(* (- x 0.5) (log x))
135.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.6s

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
771.0ms	(- (* (- x 0.5) (log x)) x)
482.0ms	(* (- x 0.5) (log x))
219.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify3.6s

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
2	1464
1	509
0	220

prune1.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.3b

localize317.0ms

Local error

Found 4 expressions with local error:

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

rewrite185.0ms

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:

5.0ms	(cbrt x)
5.0ms	(cbrt x)
5.0ms	(cbrt x)
165.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

319.0ms	(cbrt x)
292.0ms	(cbrt x)
255.0ms	(cbrt x)
196.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify5.1s

Counts

78 → 78

Iterations

Iter	Nodes
done	5035
3	2460
2	642
1	226
0	99

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.3b

localize305.0ms

Local error

Found 4 expressions with local error:

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

rewrite168.0ms

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:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)
158.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

268.0ms	(cbrt x)
319.0ms	(cbrt x)
329.0ms	(cbrt x)
220.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify5.4s

Counts

78 → 78

Iterations

Iter	Nodes
done	5035
3	2460
2	642
1	226
0	99

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.3b

localize290.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 0.5) (log x))
0.2b	(* (- x 0.5) (log x))
0.6b	(* (sqrt (* (- x 0.5) (log x))) (sqrt (* (- x 0.5) (log x))))
5.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite579.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1`
34×	`add-sqr-sqrt`
28×	`*-un-lft-identity` `sqrt-pow1`
24×	`add-cube-cbrt`
22×	`pow-prod-down`
18×	`associate-*l/`
14×	`associate-l`
12×	`log-prod` `add-cbrt-cube` `sqrt-div` `associate-r` `add-exp-log`
10×	`pow1/2` `pow-prod-up`
9×	`times-frac`
8×	`flip3--` `flip--`
6×	`distribute-rgt-in` `distribute-lft-in` `pow-sqr`
4×	`frac-times` `swap-sqr` `sqrt-prod` `insert-posit16` `add-log-exp`
3×	`associate-/r` `prod-exp` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-*r/` `log-pow` `distribute-lft-out--` `difference-of-squares` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `rem-square-sqrt` `frac-2neg` `flip3-+` `pow-plus` `sqrt-unprod` `div-exp` `flip-+` `div-inv`

Counts

4 → 148

Calls

4 calls:

92.0ms	(* (- x 0.5) (log x))
97.0ms	(* (- x 0.5) (log x))
183.0ms	(* (sqrt (* (- x 0.5) (log x))) (sqrt (* (- x 0.5) (log x))))
185.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.6s

Counts

4 → 12

Calls

4 calls:

436.0ms	(* (- x 0.5) (log x))
431.0ms	(* (- x 0.5) (log x))
509.0ms	(* (sqrt (* (- x 0.5) (log x))) (sqrt (* (- x 0.5) (log x))))
196.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify5.9s

Counts

160 → 160

Iterations

Iter	Nodes
done	5002
2	2277
1	772
0	309

prune2.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 4.3b

regimes1.8s

Accuracy

88% (0.3b remaining)

Error of 4.3b against oracle of 4.0b and baseline of 6.1b

bsearch167.0ms

Steps

Iters	Range		Point
8	4.914353332754341e+32	2.99988769581893e+36	2.858940889989538e+33

simplify30.0ms

Iterations

Iter	Nodes
done	53
1	53
0	40

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.9s	11553×	body	80	nan
1.9s	11630×	body	80	valid