Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify17.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
2	19
1	14
0	9

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.1b	(* (/ 841.0 108.0) x)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `*-commutative` `flip-+` `div-inv`

Counts

2 → 51

Calls

2 calls:

29.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
36.0ms	(* (/ 841.0 108.0) x)

series95.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
30.0ms	(* (/ 841.0 108.0) x)

simplify3.2s

Counts

57 → 57

Iterations

Iter	Nodes
done	5010
3	3301
2	841
1	258
0	103

prune200.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.2b	(* (sqrt (/ 841.0 108.0)) x)
0.3b	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate-l`
28×	`sqrt-prod`
27×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`sqrt-div`
7×	`associate-*l/`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `frac-add` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
2×	`frac-times` `associate-r/` `-commutative` `div-inv`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+`

Counts

3 → 92

Calls

3 calls:

57.0ms	(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
26.0ms	(* (sqrt (/ 841.0 108.0)) x)
59.0ms	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

series289.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
79.0ms	(* (sqrt (/ 841.0 108.0)) x)
98.0ms	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

simplify3.1s

Counts

101 → 101

Iterations

Iter	Nodes
done	5004
3	2668
2	934
1	346
0	147

prune457.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 108.0 4.0 (* (* 29.0 841.0) x))
0.3b	(/ (fma 108.0 4.0 (* (* 29.0 841.0) x)) (* 108.0 29.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`times-frac` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `associate-/r*` `frac-2neg` `prod-exp` `cbrt-unprod` `fma-udef` `div-inv`

Counts

2 → 35

Calls

2 calls:

0.0ms	(fma 108.0 4.0 (* (* 29.0 841.0) x))
15.0ms	(/ (fma 108.0 4.0 (* (* 29.0 841.0) x)) (* 108.0 29.0))

series134.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(fma 108.0 4.0 (* (* 29.0 841.0) x))
66.0ms	(/ (fma 108.0 4.0 (* (* 29.0 841.0) x)) (* 108.0 29.0))

simplify1.9s

Counts

41 → 41

Iterations

Iter	Nodes
done	5001
3	1544
2	378
1	137
0	68

prune160.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (fma x 24389.0 432.0) (* 108.0 29.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `-un-lft-identity` `times-frac` `add-cube-cbrt` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`expm1-log1p-u` `pow1` `clear-num` `associate-/r*` `frac-2neg` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 24

Calls

1 calls:

14.0ms

(/ (fma x 24389.0 432.0) (* 108.0 29.0))

series102.0ms

Counts

1 → 3

Calls

1 calls:

102.0ms

(/ (fma x 24389.0 432.0) (* 108.0 29.0))

simplify3.2s

Counts

27 → 27

Iterations

Iter	Nodes
done	5000
3	1391
2	343
1	117
0	57

prune91.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample509.0ms

Algorithm

intervals

Results

410.0ms	8009×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid