Details

sample55.0ms

Algorithm

intervals

Results

11.0ms	31×	body	1280	valid
11.0ms	171×	body	80	valid
9.0ms	35×	body	640	valid
5.0ms	30×	body	320	valid
1.0ms	10×	body	160	valid

simplify75.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize37.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)
2.4b	(/ (* x (/ (sin y) y)) z)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

14.0ms	(* x (/ (sin y) y))
9.0ms	(/ (sin y) y)
24.0ms	(/ (* x (/ (sin y) y)) z)

series248.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(* x (/ (sin y) y))
51.0ms	(/ (sin y) y)
114.0ms	(/ (* x (/ (sin y) y)) z)

simplify748.0ms

Counts: 92 → 92

prune287.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
1.5b	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

152×	`times-frac`
110×	`add-sqr-sqrt`
82×	`associate-r`
78×	`add-cube-cbrt` `*-un-lft-identity`
52×	`cbrt-prod`
40×	`add-exp-log`
28×	`add-cbrt-cube`
15×	`cbrt-undiv` `div-exp`
12×	`prod-exp` `cbrt-unprod`
10×	`unswap-sqr`
8×	`div-inv`
7×	`associate-l`
6×	`pow1`
4×	`add-log-exp`
3×	`pow1/3`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 162

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
91.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

series943.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(cbrt z)
284.0ms	(cbrt z)
266.0ms	(cbrt z)
130.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

simplify502.0ms

Counts: 174 → 174

prune718.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))
2.4b	(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
64×	`add-exp-log`
44×	`associate-r`
34×	`add-cbrt-cube`
30×	`div-exp`
19×	`associate-/r*`
14×	`cbrt-undiv` `prod-exp`
11×	`div-inv`
7×	`pow1` `associate-/l*`
6×	`rec-exp` `1-exp` `cbrt-unprod`
5×	`unswap-sqr`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`associate-*r/` `associate-/r/` `un-div-inv` `associate-/l/`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 207

Calls

4 calls:

56.0ms	(* x (/ 1 (/ y (sin y))))
10.0ms	(/ y (sin y))
26.0ms	(/ 1 (/ y (sin y)))
36.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series283.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* x (/ 1 (/ y (sin y))))
31.0ms	(/ y (sin y))
56.0ms	(/ 1 (/ y (sin y)))
115.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify1.4s

Counts: 219 → 219

prune895.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (cbrt 1) (/ y (sin y))))
0.1b	(/ y (sin y))
0.1b	(/ (cbrt 1) (/ y (sin y)))
2.4b	(/ (* x (/ (cbrt 1) (/ y (sin y)))) z)

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

294×	`times-frac`
182×	`add-sqr-sqrt`
163×	`*-un-lft-identity`
161×	`add-cube-cbrt`
85×	`cbrt-prod`
83×	`associate-r`
34×	`add-exp-log`
28×	`add-cbrt-cube`
19×	`associate-/r*`
17×	`div-inv`
14×	`cbrt-undiv` `div-exp`
10×	`associate-/l*`
7×	`unswap-sqr`
6×	`pow1` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`associate-*r/` `associate-/r/`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 274

Calls

4 calls:

54.0ms	(* x (/ (cbrt 1) (/ y (sin y))))
10.0ms	(/ y (sin y))
11.0ms	(/ (cbrt 1) (/ y (sin y)))
21.0ms	(/ (* x (/ (cbrt 1) (/ y (sin y)))) z)

series265.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* x (/ (cbrt 1) (/ y (sin y))))
31.0ms	(/ y (sin y))
43.0ms	(/ (cbrt 1) (/ y (sin y)))
111.0ms	(/ (* x (/ (cbrt 1) (/ y (sin y)))) z)

simplify1.8s

Counts: 286 → 286

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes232.0ms

Accuracy

-5.1% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 3.0b

bsearch87.0ms

Steps

Iters	Range		Point
10	5.329084371010247e-32	9.893396450191569e-20	7.563073643537452e-27
5	-4.6578439507470886e-132	-1.1718496093727004e-132	-4.5702531938853563e-132

simplify560.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

846.0ms	5872×	body	80	valid
529.0ms	997×	body	1280	valid
372.0ms	989×	body	640	valid
192.0ms	536×	body	320	valid
44.0ms	305×	body	160	valid