Details

sample59.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
16.0ms	260×	body	80	nan

simplify145.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	143
7	143
6	141
5	128
4	99
3	70
2	41
1	21
0	11

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
0.0b	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*`
3×	`expm1-log1p-u` `associate-/r` `associate-l*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3--` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `fma-udef` `flip--`

Counts

3 → 90

Calls

3 calls:

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
22.0ms	(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
14.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series224.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
86.0ms	(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
89.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify800.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1541
1	374
0	144

prune518.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 x)
0.0b	(/ (+ (fma (sqrt x) 4.0 x) 1.0) (- x 1.0))
0.1b	(/ 6.0 (/ (+ (fma (sqrt x) 4.0 x) 1.0) (- x 1.0)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
175×	`*-un-lft-identity`
123×	`add-sqr-sqrt`
81×	`add-cube-cbrt`
31×	`associate-/r*`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/l*`
6×	`div-inv`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`flip3-+` `flip-+` `fma-udef`

Counts

3 → 181

Calls

3 calls:

0.0ms	(fma (sqrt x) 4.0 x)
27.0ms	(/ (+ (fma (sqrt x) 4.0 x) 1.0) (- x 1.0))
19.0ms	(/ 6.0 (/ (+ (fma (sqrt x) 4.0 x) 1.0) (- x 1.0)))

series308.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(fma (sqrt x) 4.0 x)
133.0ms	(/ (+ (fma (sqrt x) 4.0 x) 1.0) (- x 1.0))
111.0ms	(/ 6.0 (/ (+ (fma (sqrt x) 4.0 x) 1.0) (- x 1.0)))

simplify1.7s

Counts

190 → 190

Iterations

Iter	Nodes
done	5000
2	3446
1	699
0	267

prune980.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.2b	(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0))))
0.2b	(* 6.0 (+ (sqrt x) (sqrt 1.0)))
0.2b	(/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

91×	`add-sqr-sqrt`
65×	`*-un-lft-identity`
54×	`times-frac`
44×	`sqrt-prod`
36×	`associate-r`
33×	`add-cube-cbrt`
28×	`difference-of-squares`
20×	`add-cbrt-cube` `add-exp-log`
14×	`distribute-lft-out--`
11×	`pow1`
9×	`associate-/l*`
7×	`prod-exp` `associate-*r/` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/r*` `flip3-+` `div-exp` `flip-+`
2×	`frac-times` `associate-l/` `-commutative` `div-inv` `distribute-lft-out` `associate-/l/`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `flip3--` `div-sub` `fma-udef` `flip--` `unswap-sqr`

Counts

4 → 149

Calls

4 calls:

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
122.0ms	(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0))))
65.0ms	(* 6.0 (+ (sqrt x) (sqrt 1.0)))
44.0ms	(/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0)))

series1.0s

Counts

4 → 12

Calls

4 calls:

70.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
653.0ms	(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0))))
90.0ms	(* 6.0 (+ (sqrt x) (sqrt 1.0)))
195.0ms	(/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify553.0ms

Counts

161 → 161

Iterations

Iter	Nodes
done	5000
1	833
0	266

prune710.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow 6.0 3) (pow (/ (- x 1.0) (+ (fma (sqrt x) 4.0 x) 1.0)) 3))
0.0b	(/ (- x 1.0) (+ (fma (sqrt x) 4.0 x) 1.0))
0.1b	(pow (/ (- x 1.0) (+ (fma (sqrt x) 4.0 x) 1.0)) 3)
1.0b	(cbrt (* (pow 6.0 3) (pow (/ (- x 1.0) (+ (fma (sqrt x) 4.0 x) 1.0)) 3)))

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

154×	`*-un-lft-identity`
148×	`add-sqr-sqrt`
108×	`times-frac`
69×	`unpow-prod-down` `cube-prod`
60×	`add-cube-cbrt`
58×	`associate-r`
29×	`add-exp-log`
26×	`distribute-lft-out`
24×	`unswap-sqr`
21×	`distribute-lft-out--` `difference-of-squares`
13×	`sqr-pow`
12×	`associate-l` `pow-exp` `prod-exp`
11×	`add-cbrt-cube`
10×	`associate-/r/`
8×	`pow-to-exp`
5×	`pow1` `flip3-+` `div-exp` `flip-+` `div-inv` `associate-/l*`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `add-log-exp`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3`
2×	`cbrt-undiv` `pow-prod-down` `associate-*r/` `rem-cube-cbrt` `associate-/l/`
1×	`cbrt-prod` `cbrt-div` `clear-num` `pow-pow` `frac-2neg` `flip3--` `pow1/3` `div-sub` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `flip--`

Counts

4 → 254

Calls

4 calls:

137.0ms	(* (pow 6.0 3) (pow (/ (- x 1.0) (+ (fma (sqrt x) 4.0 x) 1.0)) 3))
36.0ms	(/ (- x 1.0) (+ (fma (sqrt x) 4.0 x) 1.0))
34.0ms	(pow (/ (- x 1.0) (+ (fma (sqrt x) 4.0 x) 1.0)) 3)
45.0ms	(cbrt (* (pow 6.0 3) (pow (/ (- x 1.0) (+ (fma (sqrt x) 4.0 x) 1.0)) 3)))

series729.0ms

Counts

4 → 12

Calls

4 calls:

261.0ms	(* (pow 6.0 3) (pow (/ (- x 1.0) (+ (fma (sqrt x) 4.0 x) 1.0)) 3))
154.0ms	(/ (- x 1.0) (+ (fma (sqrt x) 4.0 x) 1.0))
161.0ms	(pow (/ (- x 1.0) (+ (fma (sqrt x) 4.0 x) 1.0)) 3)
152.0ms	(cbrt (* (pow 6.0 3) (pow (/ (- x 1.0) (+ (fma (sqrt x) 4.0 x) 1.0)) 3)))

simplify624.0ms

Counts

266 → 266

Iterations

Iter	Nodes
done	5000
1	945
0	264

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes49.0ms

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
done	12
1	12
0	10

end0.0ms

sample1.9s

Algorithm

intervals

Results

955.0ms	8020×	body	80	nan
615.0ms	8000×	body	80	valid