Details

sample205.0ms

Algorithm

intervals

Results

92.0ms	90×	body	2560	valid
44.0ms	81×	body	1280	valid
23.0ms	284×	body	80	nan
19.0ms	42×	body	640	valid
5.0ms	18×	body	320	valid
3.0ms	11×	body	160	valid
2.0ms	14×	body	80	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
6	3209
5	1064
4	436
3	171
2	65
1	25
0	9

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
0.1b	(* 5 (* v v))
0.6b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`times-frac`
15×	`add-cube-cbrt`
10×	`add-cbrt-cube` `add-exp-log`
8×	`pow1` `difference-of-squares`
6×	`associate-/r*`
4×	`difference-of-sqr-1`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `associate-/l*` `add-log-exp`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`acos-asin` `cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `associate-r` `*-commutative` `div-inv` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

22.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
26.0ms	(* 5 (* v v))
3.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series130.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
50.0ms	(* 5 (* v v))
3.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify3.4s

Counts

83 → 83

Iterations

Iter	Nodes
3	5835
2	1203
1	372
0	148

prune784.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 5 (* v v))
0.1b	(* 5 (* v v))
0.1b	(* 5 (* v v))
0.6b	(acos (/ (- (* 1 1) (* (* 5 (* v v)) (* 5 (* v v)))) (* (- (* v v) 1) (+ 1 (* 5 (* v v))))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
9×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`insert-posit16` `add-log-exp`
3×	`associate-r` `*-commutative` `unswap-sqr`
1×	`acos-asin`

Counts

4 → 69

Calls

4 calls:

13.0ms	(* 5 (* v v))
16.0ms	(* 5 (* v v))
13.0ms	(* 5 (* v v))
1.0ms	(acos (/ (- (* 1 1) (* (* 5 (* v v)) (* 5 (* v v)))) (* (- (* v v) 1) (+ 1 (* 5 (* v v))))))

series133.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* 5 (* v v))
34.0ms	(* 5 (* v v))
35.0ms	(* 5 (* v v))
6.0ms	(acos (/ (- (* 1 1) (* (* 5 (* v v)) (* 5 (* v v)))) (* (- (* v v) 1) (+ 1 (* 5 (* v v))))))

simplify1.2s

Counts

81 → 81

Iterations

Iter	Nodes
3	2902
2	503
1	153
0	64

prune782.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 5 (* v v))
0.1b	(* 5 (* v v))
0.1b	(* 5 (* v v))
0.6b	(asin (/ (- (* 1 1) (* (* 5 (* v v)) (* 5 (* v v)))) (* (- (* v v) 1) (+ 1 (* 5 (* v v))))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
9×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`insert-posit16` `add-log-exp`
3×	`associate-r` `*-commutative` `unswap-sqr`
1×	`asin-acos`

Counts

4 → 69

Calls

4 calls:

24.0ms	(* 5 (* v v))
13.0ms	(* 5 (* v v))
21.0ms	(* 5 (* v v))
1.0ms	(asin (/ (- (* 1 1) (* (* 5 (* v v)) (* 5 (* v v)))) (* (- (* v v) 1) (+ 1 (* 5 (* v v))))))

series128.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* 5 (* v v))
50.0ms	(* 5 (* v v))
39.0ms	(* 5 (* v v))
6.0ms	(asin (/ (- (* 1 1) (* (* 5 (* v v)) (* 5 (* v v)))) (* (- (* v v) 1) (+ 1 (* 5 (* v v))))))

simplify1.3s

Counts

81 → 81

Iterations

Iter	Nodes
3	2902
2	503
1	153
0	64

prune888.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
0.9b	(sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
0.9b	(sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
0.9b	(* (sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `acos-asin` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

1.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
1.0ms	(sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
1.0ms	(sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
8.0ms	(* (sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

series46.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
16.0ms	(sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
23.0ms	(sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
4.0ms	(* (sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (sqrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

simplify3.9s

Counts

99 → 99

Iterations

Iter	Nodes
5	6301
4	1753
3	683
2	300
1	148
0	73

prune889.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.6b

regimes235.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
2	22
1	22
0	17

end0.0ms

sample8.1s

Algorithm

intervals

Results

3.4s	3008×	body	2560	valid
2.3s	2515×	body	1280	valid
943.0ms	8083×	body	80	nan
799.0ms	1251×	body	640	valid
217.0ms	602×	body	320	valid
105.0ms	397×	body	160	valid
29.0ms	227×	body	80	valid