Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

256×

body

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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:

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

series92.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
24.0ms	(* (/ 841.0 108.0) x)

simplify905.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
2	1100
1	256
0	101

prune227.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

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:

34.0ms	(+ (/ (* x 841.0) 108.0) (/ 4.0 29.0))
15.0ms	(/ (* x 841.0) 108.0)

series77.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (/ (* x 841.0) 108.0) (/ 4.0 29.0))
22.0ms	(/ (* x 841.0) 108.0)

simplify685.0ms

Counts

51 → 51

Iterations

Iter	Nodes
done	5001
2	960
1	218
0	83

prune167.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt` `times-frac`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
22×	`associate-l`
19×	`sqrt-prod`
17×	`add-cbrt-cube` `add-exp-log`
10×	`fma-def`
6×	`associate-/r*`
5×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `div-inv` `unswap-sqr`
2×	`associate-*l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `frac-add` `-commutative` `flip-+` `distribute-lft-out` `associate-/l` `associate-/l/`

Counts

3 → 101

Calls

3 calls:

54.0ms	(+ (/ (* (/ 841.0 (sqrt 108.0)) x) (sqrt 108.0)) (/ 4.0 29.0))
34.0ms	(* (/ 841.0 (sqrt 108.0)) x)
31.0ms	(/ (* (/ 841.0 (sqrt 108.0)) x) (sqrt 108.0))

series520.0ms

Counts

3 → 9

Calls

3 calls:

246.0ms	(+ (/ (* (/ 841.0 (sqrt 108.0)) x) (sqrt 108.0)) (/ 4.0 29.0))
118.0ms	(* (/ 841.0 (sqrt 108.0)) x)
155.0ms	(/ (* (/ 841.0 (sqrt 108.0)) x) (sqrt 108.0))

simplify1.1s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	2156
1	381
0	151

prune457.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.2b	(fma (/ x 108.0) 841.0 (/ 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:

1.0ms

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

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

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

simplify2.4s

Counts

13 → 13

Iterations

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

prune51.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes143.0ms

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

sample563.0ms

Algorithm

intervals

Results

377.0ms	8001×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid
0.0ms	1×	body	320	valid