Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	14	17
1	22	17
2	39	14
3	58	14
4	82	14
5	92	14
6	114	14
7	144	14
8	192	14
9	318	14
10	477	14
11	718	14
12	1096	14
13	2406	14
done	5000	14

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)
13.7b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite39.0ms

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:

16.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
2.0ms	(+ 0.99229 (* x 0.04481))
7.0ms	(* (+ 0.99229 (* x 0.04481)) x)
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
32.0ms	(+ 0.99229 (* x 0.04481))
64.0ms	(* (+ 0.99229 (* x 0.04481)) x)
60.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify960.0ms

Counts

148 → 148

Iterations

Useful iterations: done (951.0ms)

Iter	Nodes	Cost
0	285	6840
1	755	5761
2	2673	3845
done	5000	3839

prune328.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

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 x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))
0.0ms	(expm1 (log1p (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))))
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
4.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series441.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(log1p (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))
203.0ms	(expm1 (log1p (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))))
29.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
62.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify1.4s

Counts

73 → 73

Iterations

Useful iterations: 3 (306.0ms)

Iter	Nodes	Cost
0	136	1270
1	273	1218
2	841	1070
3	3522	1069
done	5001	1069

prune218.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

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	13	16
done	13	16

end0.0ms

sample346.0ms

Algorithm

intervals

Results

246.0ms

8000×

body

valid