Details

sample174.0ms

Algorithm

intervals

Results

79.0ms	95×	body	2560	valid
37.0ms	78×	body	1280	valid
16.0ms	259×	body	80	nan
14.0ms	41×	body	640	valid
7.0ms	27×	body	320	valid
1.0ms	7×	body	160	valid
1.0ms	8×	body	80	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5006
5	2012
4	467
3	171
2	65
1	25
0	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
0.1b	(* 5 (* v v))
0.4b	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

rewrite69.0ms

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:

35.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
30.0ms	(* 5 (* v v))
1.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series124.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
37.0ms	(* 5 (* v v))
6.0ms	(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify1.2s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1125
1	378
0	148

prune325.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
0.1b	(* 5 (* v v))
0.5b	(asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

rewrite62.0ms

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×	`cbrt-undiv` `asin-acos` `clear-num` `frac-2neg` `div-sub` `div-exp` `associate-r` `*-commutative` `div-inv` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

35.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
22.0ms	(* 5 (* v v))
1.0ms	(asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series116.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
37.0ms	(* 5 (* v v))
4.0ms	(asin (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify1.3s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1125
1	378
0	148

prune380.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (- (* v v) 1)) (/ (* 5 (* v v)) (- (* v v) 1)))
0.0b	(/ (* 5 (* v v)) (- (* v v) 1))
0.1b	(* 5 (* v v))
0.4b	(acos (- (/ 1 (- (* v v) 1)) (/ (* 5 (* v v)) (- (* v v) 1))))

rewrite340.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

190.0ms	(- (/ 1 (- (* v v) 1)) (/ (* 5 (* v v)) (- (* v v) 1)))
59.0ms	(/ (* 5 (* v v)) (- (* v v) 1))
19.0ms	(* 5 (* v v))
70.0ms	(acos (- (/ 1 (- (* v v) 1)) (/ (* 5 (* v v)) (- (* v v) 1))))

series231.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(- (/ 1 (- (* v v) 1)) (/ (* 5 (* v v)) (- (* v v) 1)))
70.0ms	(/ (* 5 (* v v)) (- (* v v) 1))
46.0ms	(* 5 (* v v))
7.0ms	(acos (- (/ 1 (- (* v v) 1)) (/ (* 5 (* v v)) (- (* v v) 1))))

simplify1.2s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	1789
1	470
0	173

prune463.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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:

21.0ms	(* (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (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))))
2.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))

series695.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
165.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
154.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
207.0ms	(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))

simplify2.1s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
3	1161
2	385
1	142
0	62

prune467.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.4b

regimes278.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.0s	2950×	body	2560	valid
1.7s	2551×	body	1280	valid
928.0ms	1256×	body	640	valid
597.0ms	7787×	body	80	nan
179.0ms	602×	body	320	valid
100.0ms	435×	body	160	valid
18.0ms	206×	body	80	valid