Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify10.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	16	19
1	31	19
2	54	16
3	79	16
4	103	16
5	117	16
6	133	16
7	160	16
8	219	16
9	253	16
10	326	16
11	458	16
12	822	16
13	1768	16
14	2602	16
15	2824	16
16	4029	16
done	5000	16

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
13.7b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

98×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
90×	`prod-diff`
89×	`add-cube-cbrt`
64×	`times-frac`
48×	`distribute-rgt-in` `distribute-lft-in`
14×	`associate-/r/`
10×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
9×	`associate-r`
8×	`pow1`
7×	`div-inv`
6×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`fma-def` `associate-/r` `associate-/l`
2×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `div-exp` `clear-num` `sum-log` `flip--` `distribute-lft-out--`

Counts

4 → 192

Calls

4 calls:

2.0ms	(+ 0.99229 (* x 0.04481))
86.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
7.0ms	(* x (+ 0.99229 (* x 0.04481)))
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series251.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ 0.99229 (* x 0.04481))
95.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
65.0ms	(* x (+ 0.99229 (* x 0.04481)))
56.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.2s

Counts

204 → 204

Iterations

Useful iterations: 2 (268.0ms)

Iter	Nodes	Cost
0	366	7100
1	777	5804
2	3010	4722
done	5001	4722

prune351.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))
0.0b	(expm1 (log1p (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
13.7b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
5×	`expm1-log1p-u`
4×	`pow1` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `frac-2neg` `log1p-expm1` `div-exp` `clear-num` `fma-udef` `div-inv` `expm1-udef`

Counts

4 → 61

Calls

4 calls:

0.0ms	(log1p (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))
0.0ms	(expm1 (log1p (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))))
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
2.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series438.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(log1p (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))
203.0ms	(expm1 (log1p (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))))
28.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
60.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify1.4s

Counts

73 → 73

Iterations

Useful iterations: 3 (297.0ms)

Iter	Nodes	Cost
0	136	1270
1	273	1218
2	841	1070
3	3522	1069
done	5000	1069

prune231.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(pow (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711) 3)
13.7b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
21.3b	(cbrt (pow (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711) 3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `times-frac` `add-cbrt-cube`
8×	`cbrt-prod`
7×	`pow1`
4×	`cube-div` `expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-/r` `associate-/l`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `flip3--` `pow-pow` `unpow3` `cube-prod` `pow-exp` `flip--` `rem-cube-cbrt` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow1/3` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `rem-cbrt-cube` `cbrt-unprod` `fma-udef` `div-inv`

Counts

4 → 86

Calls

4 calls:

0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
13.0ms	(pow (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711) 3)
2.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
5.0ms	(cbrt (pow (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711) 3))

series273.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
109.0ms	(pow (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711) 3)
62.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
76.0ms	(cbrt (pow (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711) 3))

simplify454.0ms

Counts

98 → 98

Iterations

Useful iterations: done (451.0ms)

Iter	Nodes	Cost
0	180	2125
1	401	1923
2	1343	1754
done	5000	1731

prune296.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	18
1	16	18
done	16	18

end0.0ms

sample355.0ms

Algorithm

intervals

Results

265.0ms

8000×

body

valid