Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

258×

body

valid

simplify25.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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)

rewrite27.0ms

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:

14.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
12.0ms	(* (/ 841.0 108.0) x)

series65.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
19.0ms	(* (/ 841.0 108.0) x)

simplify789.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
2	1100
1	256
0	101

prune181.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
7×	`fma-def` `add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `times-frac` `add-cube-cbrt`
4×	`add-log-exp`
3×	`associate-/r*`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `log1p-expm1-u` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `frac-add` `prod-exp` `cbrt-unprod` `flip-+` `distribute-lft-out` `associate-/l*`

Counts

2 → 45

Calls

2 calls:

29.0ms	(+ (/ (* x 841.0) 108.0) (/ 4.0 29.0))
9.0ms	(/ (* x 841.0) 108.0)

series65.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ (/ (* x 841.0) 108.0) (/ 4.0 29.0))
16.0ms	(/ (* x 841.0) 108.0)

simplify602.0ms

Counts

51 → 51

Iterations

Iter	Nodes
done	5001
2	960
1	218
0	83

prune196.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

143×	`times-frac`
85×	`*-un-lft-identity`
79×	`add-sqr-sqrt` `add-cube-cbrt`
44×	`fma-def`
13×	`associate-/r*`
9×	`div-inv`
7×	`add-cbrt-cube` `add-exp-log`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `frac-add` `flip-+`

Counts

2 → 132

Calls

2 calls:

53.0ms	(+ (/ x (/ 108.0 841.0)) (/ 4.0 29.0))
7.0ms	(/ x (/ 108.0 841.0))

series73.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (/ x (/ 108.0 841.0)) (/ 4.0 29.0))
25.0ms	(/ x (/ 108.0 841.0))

simplify970.0ms

Counts

138 → 138

Iterations

Iter	Nodes
done	5000
2	1975
1	472
0	183

prune635.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ 841.0 108.0))
0.2b	(pow (* x (/ 841.0 108.0)) 3)
0.3b	(* (* x (/ 841.0 108.0)) (fma x (/ 841.0 108.0) (- (/ 4.0 29.0))))
19.8b	(/ (+ (pow (/ 4.0 29.0) 3) (pow (* x (/ 841.0 108.0)) 3)) (fma (/ 4.0 29.0) (/ 4.0 29.0) (* (* x (/ 841.0 108.0)) (fma x (/ 841.0 108.0) (- (/ 4.0 29.0))))))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
26×	`add-cbrt-cube` `add-exp-log`
25×	`times-frac`
24×	`add-cube-cbrt`
16×	`associate-r`
14×	`pow1`
9×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down` `associate-/l*`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `associate-l` `associate-*r/` `sum-cubes` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`cube-div` `pow-unpow` `associate-/r*` `pow-exp` `rem-cube-cbrt` `associate-/l/`
2×	`pow-pow` `*-commutative` `fma-udef` `div-inv` `unswap-sqr`
1×	`distribute-rgt-in` `cube-mult` `pow-to-exp` `clear-num` `unpow-prod-down` `frac-2neg` `distribute-lft-in` `flip3-+` `unpow3` `cube-prod` `associate-*l/` `frac-add` `flip-+` `sqr-pow`

Counts

4 → 126

Calls

4 calls:

11.0ms	(* x (/ 841.0 108.0))
7.0ms	(pow (* x (/ 841.0 108.0)) 3)
20.0ms	(* (* x (/ 841.0 108.0)) (fma x (/ 841.0 108.0) (- (/ 4.0 29.0))))
118.0ms	(/ (+ (pow (/ 4.0 29.0) 3) (pow (* x (/ 841.0 108.0)) 3)) (fma (/ 4.0 29.0) (/ 4.0 29.0) (* (* x (/ 841.0 108.0)) (fma x (/ 841.0 108.0) (- (/ 4.0 29.0))))))

series431.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* x (/ 841.0 108.0))
58.0ms	(pow (* x (/ 841.0 108.0)) 3)
104.0ms	(* (* x (/ 841.0 108.0)) (fma x (/ 841.0 108.0) (- (/ 4.0 29.0))))
247.0ms	(/ (+ (pow (/ 4.0 29.0) 3) (pow (* x (/ 841.0 108.0)) 3)) (fma (/ 4.0 29.0) (/ 4.0 29.0) (* (* x (/ 841.0 108.0)) (fma x (/ 841.0 108.0) (- (/ 4.0 29.0))))))

simplify2.0s

Counts

138 → 138

Iterations

Iter	Nodes
done	5002
2	3591
1	596
0	222

prune790.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes106.0ms

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

sample459.0ms

Algorithm

intervals

Results

340.0ms	8009×	body	80	valid
0.0ms	2×	body	1280	valid