Details

sample131.0ms

Algorithm

intervals

Results

26.0ms	438×	body	80	valid
13.0ms	438×	pre	80	true

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1604
4	395
3	112
2	40
1	16
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.0b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
36×	`prod-diff`
33×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
12×	`add-cbrt-cube` `add-exp-log`
10×	`associate-r`
8×	`flip3--` `associate-l` `flip--`
7×	`pow1`
6×	`associate-*r/`
4×	`frac-times` `sub-neg`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

3 → 125

Calls

3 calls:

19.0ms	(* m (- 1.0 m))
17.0ms	(/ (* m (- 1.0 m)) v)
136.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series197.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(* m (- 1.0 m))
47.0ms	(/ (* m (- 1.0 m)) v)
63.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.8s

Counts

134 → 134

Iterations

Iter	Nodes
done	5002
2	3411
1	587
0	223

prune539.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (sqrt 1.0) (sqrt m))
0.0b	(fma (/ m v) (- 1.0 m) (- 1.0))
0.1b	(* (fma (/ m v) (- 1.0 m) (- 1.0)) (+ (sqrt m) (sqrt 1.0)))
0.1b	(* (* (fma (/ m v) (- 1.0 m) (- 1.0)) (+ (sqrt m) (sqrt 1.0))) (- (sqrt 1.0) (sqrt m)))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

125×	`sqrt-prod`
108×	`prod-diff`
99×	`add-sqr-sqrt`
93×	`*-un-lft-identity`
81×	`add-cube-cbrt`
39×	`distribute-rgt-in` `distribute-lft-in`
14×	`associate-r`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`associate-*r/`
8×	`difference-of-squares`
6×	`fma-neg` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `flip3-+` `flip3--` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `flip--` `distribute-lft-out--`
3×	`sub-neg`
2×	`associate-l/` `-commutative` `distribute-lft-out`
1×	`diff-log` `fma-udef` `unswap-sqr`

Counts

4 → 208

Calls

4 calls:

11.0ms	(- (sqrt 1.0) (sqrt m))
0.0ms	(fma (/ m v) (- 1.0 m) (- 1.0))
37.0ms	(* (fma (/ m v) (- 1.0 m) (- 1.0)) (+ (sqrt m) (sqrt 1.0)))
109.0ms	(* (* (fma (/ m v) (- 1.0 m) (- 1.0)) (+ (sqrt m) (sqrt 1.0))) (- (sqrt 1.0) (sqrt m)))

series518.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (sqrt 1.0) (sqrt m))
48.0ms	(fma (/ m v) (- 1.0 m) (- 1.0))
179.0ms	(* (fma (/ m v) (- 1.0 m) (- 1.0)) (+ (sqrt m) (sqrt 1.0)))
221.0ms	(* (* (fma (/ m v) (- 1.0 m) (- 1.0)) (+ (sqrt m) (sqrt 1.0))) (- (sqrt 1.0) (sqrt m)))

simplify577.0ms

Counts

220 → 220

Iterations

Iter	Nodes
done	5000
1	881
0	289

prune758.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (sqrt 1.0) (sqrt m))
0.0b	(fma (/ m v) (- 1.0 m) (- 1.0))
0.1b	(* (- (sqrt 1.0) (sqrt m)) (fma (/ m v) (- 1.0 m) (- 1.0)))
0.1b	(* (* (- (sqrt 1.0) (sqrt m)) (fma (/ m v) (- 1.0 m) (- 1.0))) (+ (sqrt 1.0) (sqrt m)))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

53×	`sqrt-prod`
51×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
36×	`prod-diff`
33×	`add-cube-cbrt`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`associate-l` `associate-*l/`
8×	`associate-r` `difference-of-squares`
6×	`fma-neg` `add-log-exp`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--`
3×	`flip3-+` `flip-+` `fma-udef`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `-commutative` `distribute-lft-out`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

4 → 134

Calls

4 calls:

19.0ms	(- (sqrt 1.0) (sqrt m))
1.0ms	(fma (/ m v) (- 1.0 m) (- 1.0))
68.0ms	(* (- (sqrt 1.0) (sqrt m)) (fma (/ m v) (- 1.0 m) (- 1.0)))
118.0ms	(* (* (- (sqrt 1.0) (sqrt m)) (fma (/ m v) (- 1.0 m) (- 1.0))) (+ (sqrt 1.0) (sqrt m)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (sqrt 1.0) (sqrt m))
30.0ms	(fma (/ m v) (- 1.0 m) (- 1.0))
197.0ms	(* (- (sqrt 1.0) (sqrt m)) (fma (/ m v) (- 1.0 m) (- 1.0)))
163.0ms	(* (* (- (sqrt 1.0) (sqrt m)) (fma (/ m v) (- 1.0 m) (- 1.0))) (+ (sqrt 1.0) (sqrt m)))

simplify1.9s

Counts

146 → 146

Iterations

Iter	Nodes
done	5000
2	3744
1	638
0	224

prune687.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (fma (/ m v) (- 1.0 m) (- 1.0)) (fma (sqrt m) m (pow (sqrt 1.0) 3)))
0.1b	(* (/ (* (fma (/ m v) (- 1.0 m) (- 1.0)) (fma (sqrt m) m (pow (sqrt 1.0) 3))) (+ (* (sqrt m) (sqrt m)) (- (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt m) (sqrt 1.0))))) (- (sqrt 1.0) (sqrt m)))
0.5b	(* (sqrt m) (sqrt m))
1.0b	(/ (* (fma (/ m v) (- 1.0 m) (- 1.0)) (fma (sqrt m) m (pow (sqrt 1.0) 3))) (+ (* (sqrt m) (sqrt m)) (- (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt m) (sqrt 1.0)))))

rewrite288.0ms

Algorithm

rewrite-expression-head

Rules

96×	`sqrt-prod`
91×	`add-sqr-sqrt`
72×	`prod-diff`
71×	`*-un-lft-identity`
67×	`add-cube-cbrt`
39×	`distribute-rgt-in` `distribute-lft-in`
23×	`pow1`
22×	`add-cbrt-cube` `add-exp-log`
18×	`associate-r` `associate-l`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
7×	`prod-exp` `cbrt-unprod`
6×	`times-frac` `unswap-sqr`
5×	`pow-prod-down` `pow-prod-up`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `associate-/r/` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`associate-/r` `pow-sqr` `-commutative`
2×	`frac-times` `sub-neg` `flip3-+` `flip3--` `associate-*r/` `flip-+` `fma-udef` `div-inv` `flip--` `distribute-lft-out--`
1×	`pow2` `clear-num` `rem-square-sqrt` `frac-2neg` `pow-plus` `sqrt-unprod` `associate-l/` `associate-/l`

Counts

4 → 215

Calls

4 calls:

11.0ms	(* (fma (/ m v) (- 1.0 m) (- 1.0)) (fma (sqrt m) m (pow (sqrt 1.0) 3)))
195.0ms	(* (/ (* (fma (/ m v) (- 1.0 m) (- 1.0)) (fma (sqrt m) m (pow (sqrt 1.0) 3))) (+ (* (sqrt m) (sqrt m)) (- (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt m) (sqrt 1.0))))) (- (sqrt 1.0) (sqrt m)))
11.0ms	(* (sqrt m) (sqrt m))
54.0ms	(/ (* (fma (/ m v) (- 1.0 m) (- 1.0)) (fma (sqrt m) m (pow (sqrt 1.0) 3))) (+ (* (sqrt m) (sqrt m)) (- (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt m) (sqrt 1.0)))))

series4.8s

Counts

4 → 12

Calls

4 calls:

228.0ms	(* (fma (/ m v) (- 1.0 m) (- 1.0)) (fma (sqrt m) m (pow (sqrt 1.0) 3)))
3.1s	(* (/ (* (fma (/ m v) (- 1.0 m) (- 1.0)) (fma (sqrt m) m (pow (sqrt 1.0) 3))) (+ (* (sqrt m) (sqrt m)) (- (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt m) (sqrt 1.0))))) (- (sqrt 1.0) (sqrt m)))
26.0ms	(* (sqrt m) (sqrt m))
1.4s	(/ (* (fma (/ m v) (- 1.0 m) (- 1.0)) (fma (sqrt m) m (pow (sqrt 1.0) 3))) (+ (* (sqrt m) (sqrt m)) (- (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt m) (sqrt 1.0)))))

simplify672.0ms

Counts

227 → 227

Iterations

Iter	Nodes
done	5000
1	1418
0	452

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes197.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s	13678×	body	80	valid
372.0ms	13678×	pre	80	true