Details

sample155.0ms

Algorithm

intervals

Results

51.0ms	82×	body	2560	valid
51.0ms	104×	body	1280	valid
15.0ms	256×	body	80	nan
11.0ms	35×	body	640	valid
3.0ms	13×	body	320	valid
2.0ms	15×	body	160	valid
1.0ms	7×	body	80	valid

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5114
8	4456
7	1199
6	436
5	201
4	131
3	70
2	41
1	19
0	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.2b	(* 5.0 (* v v))
0.6b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
10×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
4×	`associate-/r*` `difference-of-squares`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `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 → 63

Calls

3 calls:

47.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
27.0ms	(* 5.0 (* v v))
2.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series188.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
32.0ms	(* 5.0 (* v v))
8.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify1.6s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	1180
1	359
0	139

prune390.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.6b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* v v) (* (* v v) (* v v)))
0.0b	(* 4.0 (+ (* v v) (* (* v v) (* v v))))
0.1b	(* (* v v) (* v v))
0.6b	(acos (- (* 4.0 (+ (* v v) (* (* v v) (* v v)))) 1.0))

rewrite109.0ms

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`
9×	`prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
5×	`associate-r`
4×	`associate-l`
2×	`flip3-+` `distribute-rgt1-in` `associate-r/` `-commutative` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `acos-asin` `+-commutative` `sum-log` `distribute-lft-in` `swap-sqr`

Counts

4 → 106

Calls

4 calls:

15.0ms	(+ (* v v) (* (* v v) (* v v)))
39.0ms	(* 4.0 (+ (* v v) (* (* v v) (* v v))))
47.0ms	(* (* v v) (* v v))
2.0ms	(acos (- (* 4.0 (+ (* v v) (* (* v v) (* v v)))) 1.0))

series328.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(+ (* v v) (* (* v v) (* v v)))
160.0ms	(* 4.0 (+ (* v v) (* (* v v) (* v v))))
61.0ms	(* (* v v) (* v v))
10.0ms	(acos (- (* 4.0 (+ (* v v) (* (* v v) (* v v)))) 1.0))

simplify1.7s

Counts

118 → 118

Iterations

Iter	Nodes
done	5002
2	1656
1	362
0	112

prune405.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.6b

localize67.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

rewrite14.0ms

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` `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 → 73

Calls

4 calls:

1.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
10.0ms	(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

series774.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
189.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
200.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
212.0ms	(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

simplify4.5s

Counts

85 → 85

Iterations

Iter	Nodes
done	5012
4	4540
3	1004
2	345
1	137
0	61

prune419.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.5b

localize143.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(* (cbrt (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

1.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
19.0ms	(* (cbrt (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))

series758.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
143.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
165.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
247.0ms	(* (cbrt (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) (cbrt (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))

simplify2.7s

Counts

99 → 99

Iterations

Iter	Nodes
done	5028
4	2145
3	756
2	397
1	160
0	81

prune637.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

regimes171.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.4s	3014×	body	2560	valid
1.0s	2492×	body	1280	valid
464.0ms	8171×	body	80	nan
351.0ms	1252×	body	640	valid
125.0ms	630×	body	320	valid
53.0ms	408×	body	160	valid
14.0ms	204×	body	80	valid