Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify27.0ms

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: 0.1b

localize14.0ms

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)

rewrite48.0ms

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:

22.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
24.0ms	(* (/ 841.0 108.0) x)

series76.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
29.0ms	(* (/ 841.0 108.0) x)

simplify940.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
2	1100
1	256
0	101

prune262.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify2.5s

Counts

13 → 13

Iterations

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

prune65.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ (sqrt 841.0) 1) (/ (* (sqrt 841.0) x) 108.0)) (/ 4.0 29.0))
0.2b	(/ (* (sqrt 841.0) x) 108.0)
0.2b	(* (/ (sqrt 841.0) 1) (/ (* (sqrt 841.0) x) 108.0))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-exp-log`
32×	`add-sqr-sqrt`
29×	`add-cbrt-cube`
28×	`times-frac`
22×	`-un-lft-identity` `associate-l*`
20×	`add-cube-cbrt`
14×	`div-exp`
13×	`prod-exp`
11×	`sqrt-prod`
9×	`cbrt-undiv` `cbrt-unprod`
7×	`associate-r`
5×	`pow1` `add-log-exp` `unswap-sqr`
3×	`expm1-log1p-u` `associate-/r*` `1-exp` `frac-add` `log1p-expm1-u` `div-inv`
2×	`frac-times` `associate-l/` `associate-r/`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `associate-/l`

Counts

3 → 103

Calls

3 calls:

52.0ms	(+ (* (/ (sqrt 841.0) 1) (/ (* (sqrt 841.0) x) 108.0)) (/ 4.0 29.0))
18.0ms	(/ (* (sqrt 841.0) x) 108.0)
57.0ms	(* (/ (sqrt 841.0) 1) (/ (* (sqrt 841.0) x) 108.0))

series409.0ms

Counts

3 → 9

Calls

3 calls:

186.0ms	(+ (* (/ (sqrt 841.0) 1) (/ (* (sqrt 841.0) x) 108.0)) (/ 4.0 29.0))
81.0ms	(/ (* (sqrt 841.0) x) 108.0)
142.0ms	(* (/ (sqrt 841.0) 1) (/ (* (sqrt 841.0) x) 108.0))

simplify2.3s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
2	3950
1	541
0	177

prune520.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 133

Calls

3 calls:

17.0ms	(+ (* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0))) (/ 4.0 29.0))
6.0ms	(/ x (sqrt 108.0))
32.0ms	(* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0)))

series433.0ms

Counts

3 → 9

Calls

3 calls:

194.0ms	(+ (* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0))) (/ 4.0 29.0))
74.0ms	(/ x (sqrt 108.0))
165.0ms	(* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0)))

simplify1.2s

Counts

142 → 142

Iterations

Iter	Nodes
done	5000
2	2756
1	539
0	191

prune472.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes28.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
0	8

end0.0ms

sample936.0ms

Algorithm

intervals

Results

749.0ms	8009×	body	80	valid
1.0ms	3×	body	640	valid
0.0ms	1×	body	320	valid