Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify32.0ms

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)

rewrite42.0ms

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:

28.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
12.0ms	(* (/ 841.0 108.0) x)

series59.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
22.0ms	(* (/ 841.0 108.0) x)

simplify755.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
2	1100
1	256
0	101

prune212.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (/ 841.0 108.0) x (/ 4.0 29.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ 841.0 108.0) x (/ 4.0 29.0))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify2.1s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
5	3417
4	677
3	162
2	54
1	30
0	22

prune49.0ms

Pruning

2 alts after pruning (1 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)))

rewrite181.0ms

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:

58.0ms	(+ (* (* (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)
78.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
21.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series334.0ms

Counts

4 → 10

Calls

4 calls:

150.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
58.0ms	(* (cbrt (/ 841.0 108.0)) x)
125.0ms	(* (* (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)))

simplify1.7s

Counts

178 → 178

Iterations

Iter	Nodes
done	5000
2	2602
1	545
0	243

prune700.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
0	8

end0.0ms

sample818.0ms

Algorithm

intervals

Results

623.0ms	8010×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid