Details

sample51.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	14	17
1	22	17
2	39	14
3	68	14
4	107	14
5	126	14
6	148	14
7	176	14
8	229	14
9	482	14
10	1603	14
done	5001	14

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.0b	(+ 0.99229 (* x 0.04481))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
13.0b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
54×	`*-un-lft-identity`
52×	`add-cube-cbrt`
45×	`prod-diff`
37×	`times-frac`
8×	`add-exp-log` `associate-/r/` `add-cbrt-cube` `add-log-exp`
7×	`flip3-+` `flip-+`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv`
3×	`fma-def` `fma-neg` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`associate-*l/` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 136

Calls

4 calls:

44.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
6.0ms	(+ 0.99229 (* x 0.04481))
22.0ms	(* (+ 0.99229 (* x 0.04481)) x)
37.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series356.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
59.0ms	(+ 0.99229 (* x 0.04481))
108.0ms	(* (+ 0.99229 (* x 0.04481)) x)
76.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify2.2s

Counts

148 → 148

Iterations

Useful iterations: 2 (754.0ms)

Iter	Nodes	Cost
0	285	6840
1	771	5767
2	3478	3971
done	5001	3971

prune760.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (+ 2.30753 (* x 0.27061)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.2b	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
12.9b	(* (+ 2.30753 (* x 0.27061)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
17×	`add-exp-log`
13×	`associate-r`
11×	`add-cbrt-cube`
7×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `log1p-expm1-u`
3×	`fma-neg` `associate-l` `prod-diff` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `flip3-+` `1-exp` `associate-*l/` `cbrt-unprod` `flip-+` `div-inv`
1×	`sub-neg` `flip3--` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `flip--` `fma-udef` `inv-pow`

Counts

4 → 105

Calls

4 calls:

7.0ms	(- x (* (+ 2.30753 (* x 0.27061)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))))
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
6.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
33.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

series363.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(- x (* (+ 2.30753 (* x 0.27061)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))))
49.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
80.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
109.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

simplify2.5s

Counts

117 → 117

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	192	2209
1	491	2027
2	2396	1675
done	5000	1671

prune647.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (fma x (fma 0.04481 x 0.99229) 1.0) 3)
0.2b	(/ 1 (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3)))
11.3b	(cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3))
12.9b	(* (+ 2.30753 (* x 0.27061)) (/ 1 (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3))))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

104×	`cbrt-prod`
100×	`times-frac`
96×	`add-sqr-sqrt`
76×	`*-un-lft-identity`
71×	`add-cube-cbrt`
49×	`associate-r`
29×	`unpow-prod-down` `cube-prod`
18×	`add-exp-log`
15×	`associate-/r*`
11×	`unswap-sqr` `sqr-pow`
10×	`add-cbrt-cube`
9×	`cube-mult` `unpow3`
8×	`pow1`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-l` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `pow-flip` `flip3-+` `pow1/3` `1-exp` `associate-*l/` `cbrt-unprod` `flip-+` `div-inv`
1×	`pow-to-exp` `pow-pow` `frac-2neg` `associate-r/` `pow-prod-down` `pow-exp` `clear-num` `un-div-inv` `-commutative` `rem-cbrt-cube` `inv-pow` `rem-cube-cbrt`

Counts

4 → 216

Calls

4 calls:

6.0ms	(pow (fma x (fma 0.04481 x 0.99229) 1.0) 3)
22.0ms	(/ 1 (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3)))
4.0ms	(cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3))
95.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3))))

series259.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(pow (fma x (fma 0.04481 x 0.99229) 1.0) 3)
67.0ms	(/ 1 (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3)))
41.0ms	(cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3))
82.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3))))

simplify597.0ms

Counts

228 → 228

Iterations

Useful iterations: done (581.0ms)

Iter	Nodes	Cost
0	279	4817
1	749	3748
done	5000	3201

prune850.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	20
1	22	20
done	22	20

end0.0ms

sample902.0ms

Algorithm

intervals

Results

679.0ms

8000×

body

valid