Details

sample271.0ms

Algorithm

intervals

Results

126.0ms	94×	body	2560	valid
58.0ms	79×	body	1280	valid
30.0ms	267×	body	80	nan
28.0ms	48×	body	640	valid
8.0ms	19×	body	320	valid
3.0ms	11×	body	160	valid
1.0ms	5×	body	80	valid

simplify2.0s

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: 0.2b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
0.2b	(* 5 (* v v))
0.2b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

rewrite67.0ms

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:

38.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
25.0ms	(* 5 (* v v))
2.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series109.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
40.0ms	(* 5 (* v v))
5.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify2.8s

Counts

83 → 83

Iterations

Iter	Nodes
3	5835
2	1203
1	372
0	148

prune778.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
0.0b	(- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
0.2b	(* 5 (* v v))
0.2b	(asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

25.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
20.0ms	(- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
13.0ms	(* 5 (* v v))
1.0ms	(asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
37.0ms	(- (/ PI 2) (asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
35.0ms	(* 5 (* v v))
3.0ms	(asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify3.0s

Counts

103 → 103

Iterations

Iter	Nodes
3	6353
2	1444
1	457
0	181

prune814.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ PI 2) (asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1)))
0.0b	(* (+ (* v v) (* (* v v) (* v v))) 4)
0.1b	(* (* v v) (* v v))
0.2b	(asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

117×	`pow1`
36×	`pow-prod-up`
24×	`pow-prod-down`
22×	`pow-sqr`
18×	`pow-plus` `add-cbrt-cube` `add-exp-log`
13×	`pow2` `add-sqr-sqrt`
9×	`prod-exp` `cbrt-unprod`
8×	`*-un-lft-identity`
6×	`add-cube-cbrt` `add-log-exp`
5×	`associate-l`
4×	`associate-r` `insert-posit16`
2×	`asin-acos` `associate-l/` `-commutative` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `flip3-+` `times-frac` `flip3--` `diff-log` `swap-sqr` `distribute-rgt1-in` `flip-+` `flip--` `distribute-lft-out--` `associate--r-`

Counts

4 → 112

Calls

4 calls:

10.0ms	(- (/ PI 2) (asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1)))
34.0ms	(* (+ (* v v) (* (* v v) (* v v))) 4)
37.0ms	(* (* v v) (* v v))
1.0ms	(asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1))

series194.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (/ PI 2) (asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1)))
114.0ms	(* (+ (* v v) (* (* v v) (* v v))) 4)
35.0ms	(* (* v v) (* v v))
4.0ms	(asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1))

simplify14.2s

Counts

124 → 124

Iterations

Iter	Nodes
3	10541
2	1366
1	350
0	133

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1))
0.2b	(asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1))
1.0b	(cbrt (* (* (asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1)) (asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1))) (asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1))))
1.0b	(* (* (asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1)) (asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1))) (asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1`
9×	`add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`insert-posit16` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow2` `asin-acos` `pow3` `pow-sqr`
1×	`cbrt-prod` `pow1/3` `associate-l` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

5.0ms	(asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1))
1.0ms	(asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1))
16.0ms	(cbrt (* (* (asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1)) (asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1))) (asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1))))
27.0ms	(* (* (asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1)) (asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1))) (asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1)))

series59.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1))
4.0ms	(asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1))
5.0ms	(cbrt (* (* (asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1)) (asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1))) (asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1))))
44.0ms	(* (* (asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1)) (asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1))) (asin (- (* (+ (* v v) (* (* v v) (* v v))) 4) 1)))

simplify4.2s

Counts

70 → 70

Iterations

Iter	Nodes
5	4871
4	1556
3	679
2	281
1	130
0	62

prune690.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

regimes146.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
2	21
1	21
0	16

end0.0ms

sample7.6s

Algorithm

intervals

Results

2.9s	3037×	body	2560	valid
2.5s	2466×	body	1280	valid
890.0ms	8120×	body	80	nan
701.0ms	1284×	body	640	valid
203.0ms	590×	body	320	valid
129.0ms	421×	body	160	valid
25.0ms	202×	body	80	valid