Details

sample516.0ms

Algorithm

intervals

Results

312.0ms	104×	body	2560	valid
125.0ms	74×	body	1280	valid
40.0ms	49×	body	640	valid
11.0ms	256×	pre	80	true
11.0ms	17×	body	320	valid
4.0ms	9×	body	160	valid
1.0ms	3×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	12
2	12
1	8
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (tan x))
2.5b	(- (/ 1 x) (/ 1 (tan x)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

279×	`times-frac`
232×	`add-sqr-sqrt`
224×	`*-un-lft-identity`
208×	`add-cube-cbrt`
182×	`prod-diff`
33×	`div-inv`
14×	`tan-quot` `associate-/r/`
13×	`fma-neg`
9×	`difference-of-squares`
7×	`distribute-lft-out--`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/r` `associate-/l`
2×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `1-exp` `frac-sub` `pow-flip` `flip--` `inv-pow`

Counts

2 → 262

Calls

2 calls:

6.0ms	(/ 1 (tan x))
29.0ms	(- (/ 1 x) (/ 1 (tan x)))

series146.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ 1 (tan x))
109.0ms	(- (/ 1 x) (/ 1 (tan x)))

simplify3.4s

Counts

268 → 268

Iterations

Iter	Nodes
3	2892
2	1334
1	757
0	342

prune2.4s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (* x 1/45)) 1/3)
0.2b	(* x (* x 1/45))
0.2b	(* x 1/45)
0.4b	(* x (+ (* x (* x 1/45)) 1/3))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
9×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
7×	`associate-r`
6×	`add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`*-commutative`
2×	`flip3-+` `associate-*r/` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `fma-def` `distribute-lft-in`

Counts

4 → 82

Calls

4 calls:

22.0ms	(+ (* x (* x 1/45)) 1/3)
14.0ms	(* x (* x 1/45))
6.0ms	(* x 1/45)
92.0ms	(* x (+ (* x (* x 1/45)) 1/3))

series259.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(+ (* x (* x 1/45)) 1/3)
44.0ms	(* x (* x 1/45))
16.0ms	(* x 1/45)
98.0ms	(* x (+ (* x (* x 1/45)) 1/3))

simplify1.8s

Counts

94 → 94

Iterations

Iter	Nodes
3	3704
2	825
1	261
0	106

prune933.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x 1/45)
0.2b	(* x 1/45)
0.3b	(/ (* x (- (* (* x (* x 1/45)) (* x (* x 1/45))) (* 1/3 1/3))) (- (* x (* x 1/45)) 1/3))
0.3b	(* x (- (* (* x (* x 1/45)) (* x (* x 1/45))) (* 1/3 1/3)))

rewrite702.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-cbrt-cube` `add-exp-log`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow1` `associate-r`
9×	`associate-l`
4×	`expm1-log1p-u` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `associate-/r` `distribute-lft-in` `times-frac` `flip3--` `pow-prod-down` `-commutative` `flip--` `unswap-sqr`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-diff` `associate-/r/` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*` `difference-of-squares`

Counts

4 → 100

Calls

4 calls:

6.0ms	(* x 1/45)
6.0ms	(* x 1/45)
242.0ms	(/ (* x (- (* (* x (* x 1/45)) (* x (* x 1/45))) (* 1/3 1/3))) (- (* x (* x 1/45)) 1/3))
448.0ms	(* x (- (* (* x (* x 1/45)) (* x (* x 1/45))) (* 1/3 1/3)))

series530.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* x 1/45)
16.0ms	(* x 1/45)
298.0ms	(/ (* x (- (* (* x (* x 1/45)) (* x (* x 1/45))) (* 1/3 1/3))) (- (* x (* x 1/45)) 1/3))
199.0ms	(* x (- (* (* x (* x 1/45)) (* x (* x 1/45))) (* 1/3 1/3)))

simplify6.7s

Counts

112 → 112

Iterations

Iter	Nodes
3	10265
2	1484
1	369
0	144

prune1.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (fma (* x x) 1/45 1/3))
0.0b	(fma (* x x) 1/45 1/3)
0.0b	(/ x (/ 1 (fma (* x x) 1/45 1/3)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*` `add-exp-log`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`associate-/r/` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 120

Calls

3 calls:

4.0ms	(/ 1 (fma (* x x) 1/45 1/3))
0.0ms	(fma (* x x) 1/45 1/3)
6.0ms	(/ x (/ 1 (fma (* x x) 1/45 1/3)))

series236.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ 1 (fma (* x x) 1/45 1/3))
69.0ms	(fma (* x x) 1/45 1/3)
111.0ms	(/ x (/ 1 (fma (* x x) 1/45 1/3)))

simplify7.9s

Counts

129 → 129

Iterations

Iter	Nodes
3	3386
2	936
1	436
0	190

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
1	12
0	12

end0.0ms

sample16.2s

Algorithm

intervals

Results

9.4s	3147×	body	2560	valid
4.5s	2620×	body	1280	valid
1.1s	1253×	body	640	valid
430.0ms	637×	body	320	valid
339.0ms	8000×	pre	80	true
179.0ms	305×	body	160	valid
8.0ms	38×	body	80	valid