Details

sample242.0ms

Algorithm

intervals

Results

88.0ms	86×	body	1280	valid
83.0ms	95×	body	2560	valid
25.0ms	279×	body	80	nan
18.0ms	36×	body	640	valid
9.0ms	25×	body	320	valid
3.0ms	12×	body	160	valid
0.0ms	2×	body	80	valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
6	3394
5	1102
4	438
3	170
2	63
1	23
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize30.0ms

Local error

Found 2 expressions with local error:

0.2b	(* 5 (* v v))
0.4b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

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

series53.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* 5 (* v v))
6.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify8.6s

Counts

35 → 35

Iterations

Iter	Nodes
4	7598
3	1980
2	407
1	138
0	55

prune149.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.4b

localize47.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
1.0b	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
1.0b	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
1.0b	(* (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

1.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
1.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
1.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
10.0ms	(* (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

series686.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
181.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
201.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
152.0ms	(* (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

simplify2.2s

Counts

89 → 89

Iterations

Iter	Nodes
4	4060
3	1010
2	333
1	136
0	62

prune378.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize50.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 1/3)
1.0b	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
1.0b	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
1.0b	(* (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `unpow-prod-down`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

2.0ms	(pow (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 1/3)
1.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
1.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
11.0ms	(* (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

series674.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(pow (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 1/3)
179.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
149.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
167.0ms	(* (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

simplify4.5s

Counts

96 → 96

Iterations

Iter	Nodes
4	6147
3	1522
2	517
1	196
0	86

prune526.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize103.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 1/3)
1.0b	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
1.0b	(cbrt (acos (+ (* (/ (* v v) (+ (* v v) -1)) -5) (/ 1 (+ (* v v) -1)))))
1.0b	(* (cbrt (acos (+ (* (/ (* v v) (+ (* v v) -1)) -5) (/ 1 (+ (* v v) -1))))) (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`cbrt-prod`
12×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow1` `add-exp-log`
6×	`associate-r` `associate-l`
4×	`add-cbrt-cube` `pow1/3` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `unpow-prod-down`
2×	`pow-prod-down`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

2.0ms	(pow (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 1/3)
1.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
1.0ms	(cbrt (acos (+ (* (/ (* v v) (+ (* v v) -1)) -5) (/ 1 (+ (* v v) -1)))))
8.0ms	(* (cbrt (acos (+ (* (/ (* v v) (+ (* v v) -1)) -5) (/ 1 (+ (* v v) -1))))) (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

188.0ms	(pow (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) 1/3)
146.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
217.0ms	(cbrt (acos (+ (* (/ (* v v) (+ (* v v) -1)) -5) (/ 1 (+ (* v v) -1)))))
713.0ms	(* (cbrt (acos (+ (* (/ (* v v) (+ (* v v) -1)) -5) (/ 1 (+ (* v v) -1))))) (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))

simplify4.3s

Counts

84 → 84

Iterations

Iter	Nodes
4	5979
3	1867
2	607
1	218
0	107

prune447.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.3b

regimes107.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	10
1	10
0	9

end0.0ms

sample8.3s

Algorithm

intervals

Results

3.0s	2909×	body	2560	valid
2.4s	2527×	body	1280	valid
1.3s	8207×	body	80	nan
818.0ms	1293×	body	640	valid
316.0ms	637×	body	320	valid
116.0ms	437×	body	160	valid
28.0ms	197×	body	80	valid