Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify20.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	17
2	17
1	13
0	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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)

rewrite33.0ms

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×	`associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `*-commutative` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

14.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
17.0ms	(* (/ 841.0 108.0) x)

series76.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
30.0ms	(* (/ 841.0 108.0) x)

simplify2.5s

Counts

50 → 50

Iterations

Iter	Nodes
done	5004
3	3042
2	783
1	246
0	97

prune220.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`prod-exp` `associate-*r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `*-commutative` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

22.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
11.0ms	(* 841.0 (/ x 108.0))

series75.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
33.0ms	(* 841.0 (/ x 108.0))

simplify2.4s

Counts

50 → 50

Iterations

Iter	Nodes
done	5006
3	3087
2	779
1	260
0	99

prune178.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

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)))

rewrite95.0ms

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×	`frac-add` `div-inv` `associate-/l*`
2×	`frac-times` `associate-l/` `associate-r/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `*-commutative` `flip-+`

Counts

3 → 126

Calls

3 calls:

37.0ms	(+ (* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0))) (/ 4.0 29.0))
9.0ms	(/ x (sqrt 108.0))
39.0ms	(* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0)))

series446.0ms

Counts

3 → 9

Calls

3 calls:

216.0ms	(+ (* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0))) (/ 4.0 29.0))
75.0ms	(/ x (sqrt 108.0))
154.0ms	(* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0)))

simplify1.7s

Counts

135 → 135

Iterations

Iter	Nodes
done	5001
2	1794
1	521
0	185

prune491.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-cbrt-cube` `add-exp-log`
7×	`pow1`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `add-log-exp` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `flip3-+` `associate-l` `-commutative` `flip-+` `div-inv`

Counts

2 → 41

Calls

2 calls:

82.0ms	(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))
27.0ms	(* (* 841.0 x) 29.0)

series88.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))
29.0ms	(* (* 841.0 x) 29.0)

simplify3.2s

Counts

47 → 47

Iterations

Iter	Nodes
done	5202
3	4016
2	924
1	260
0	95

prune179.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes85.0ms

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	11
1	11
0	9

end0.0ms

sample496.0ms

Algorithm

intervals

Results

347.0ms	8005×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	2×	body	320	valid