Details

sample23.0ms

Algorithm

intervals

Results

11.0ms	255×	body	80	valid
0.0ms	1×	body	640	valid

simplify21.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
6	26
5	25
4	23
3	21
2	19
1	14
0	9

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

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` `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 → 49

Calls

2 calls:

23.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
31.0ms	(* (/ 841.0 108.0) x)

series100.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
31.0ms	(* (/ 841.0 108.0) x)

simplify1.3s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
2	1100
1	256
0	101

prune271.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.1b	(* (cbrt (/ 841.0 108.0)) x)
0.4b	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
1.0b	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

79×	`cbrt-prod`
76×	`add-sqr-sqrt`
52×	`times-frac`
45×	`*-un-lft-identity` `add-cube-cbrt`
33×	`associate-l`
29×	`cbrt-div`
25×	`pow1`
20×	`associate-r` `associate-*l/` `add-exp-log`
16×	`swap-sqr`
12×	`unswap-sqr`
11×	`frac-times` `add-cbrt-cube` `pow-prod-down`
10×	`prod-exp` `cbrt-unprod`
7×	`frac-add` `associate-*r/`
6×	`pow1/3` `add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `+-commutative` `sum-log` `fma-def` `flip3-+` `pow-plus` `flip-+`

Counts

4 → 168

Calls

4 calls:

61.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
16.0ms	(* (cbrt (/ 841.0 108.0)) x)
54.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
32.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series370.0ms

Counts

4 → 10

Calls

4 calls:

151.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
49.0ms	(* (cbrt (/ 841.0 108.0)) x)
169.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
0.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

simplify2.5s

Counts

178 → 178

Iterations

Iter	Nodes
done	5000
2	2602
1	545
0	243

prune981.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b

(+ (* (* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (cbrt (/ 841.0 108.0))) (cbrt (/ 841.0 108.0)))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))

0.1b

(* (cbrt (/ 841.0 108.0)) x)

0.4b

(* (* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (cbrt (/ 841.0 108.0))) (cbrt (/ 841.0 108.0)))) (* (cbrt (/ 841.0 108.0)) x))

rewrite601.0ms

Algorithm

rewrite-expression-head

Rules

65×	`cbrt-div`
43×	`associate-*l/`
34×	`frac-times`
32×	`sqrt-div`
26×	`pow1` `add-exp-log`
22×	`associate-*r/`
20×	`add-cbrt-cube`
19×	`add-sqr-sqrt`
17×	`associate-l`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
15×	`cbrt-prod` `frac-add`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`times-frac`
5×	`add-log-exp`
4×	`associate-r`
3×	`expm1-log1p-u` `log1p-expm1-u` `unswap-sqr`
2×	`*-commutative`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+` `div-inv`

Counts

3 → 110

Calls

3 calls:

144.0ms

(+ (* (* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (cbrt (/ 841.0 108.0))) (cbrt (/ 841.0 108.0)))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))

13.0ms

(* (cbrt (/ 841.0 108.0)) x)

438.0ms

(* (* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (cbrt (/ 841.0 108.0))) (cbrt (/ 841.0 108.0)))) (* (cbrt (/ 841.0 108.0)) x))

series268.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms

(+ (* (* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (cbrt (/ 841.0 108.0))) (cbrt (/ 841.0 108.0)))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))

49.0ms

(* (cbrt (/ 841.0 108.0)) x)

103.0ms

(* (* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (cbrt (/ 841.0 108.0))) (cbrt (/ 841.0 108.0)))) (* (cbrt (/ 841.0 108.0)) x))

simplify1.8s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
2	2790
1	643
0	224

prune538.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample461.0ms

Algorithm

intervals

Results

329.0ms	8010×	body	80	valid
0.0ms	4×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid