Details

sample39.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify8.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	14	17
1	22	17
2	39	14
3	66	14
4	92	14
5	102	14
6	124	14
7	152	14
8	203	14
9	264	14
10	299	14
11	381	14
12	394	14
13	413	14
14	451	14
15	578	14
16	714	14
17	951	14
18	1233	14
19	1379	14
20	1436	14
21	1466	14
22	1491	14
23	1532	14
24	1542	14
done	1542	14

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
13.2b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1` `fma-def`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`+-commutative` `associate-*l/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

10.0ms	(+ 0.99229 (* x 0.04481))
7.0ms	(+ 2.30753 (* x 0.27061))
26.0ms	(* (+ 0.99229 (* x 0.04481)) x)
61.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series264.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ 0.99229 (* x 0.04481))
40.0ms	(+ 2.30753 (* x 0.27061))
89.0ms	(* (+ 0.99229 (* x 0.04481)) x)
86.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify3.8s

Counts

99 → 99

Iterations

Useful iterations: 3 (2.2s)

Iter	Nodes	Cost
0	161	1371
1	399	1170
2	1317	1034
3	4353	1033
done	5000	1033

prune462.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.3b	(/ 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)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`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-def` `flip3-+` `associate-l` `associate-/r` `flip-+` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

4 → 101

Calls

4 calls:

13.0ms	(+ 2.30753 (* x 0.27061))
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
7.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
31.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

series266.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ 2.30753 (* x 0.27061))
56.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
61.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
105.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

simplify3.3s

Counts

113 → 113

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	165	1706
1	386	1470
2	1147	1298
3	3815	1296
done	5000	1290

prune401.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

12.9b	(* (+ 2.30753 (* x 0.27061)) (* (* (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))) (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))))
13.2b	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
13.2b	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
13.2b	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod` `cbrt-div`
29×	`frac-times`
27×	`times-frac`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-*l/`
16×	`associate-*r/`
13×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
8×	`flip3-+` `flip-+`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l` `div-inv`
1×	`associate-r` `*-commutative`

Counts

4 → 118

Calls

4 calls:

173.0ms	(* (+ 2.30753 (* x 0.27061)) (* (* (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))) (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))))
5.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
5.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
5.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

series880.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (+ 2.30753 (* x 0.27061)) (* (* (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))) (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))))
250.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
232.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
279.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

simplify1.5s

Counts

130 → 130

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	222	4053
1	557	3780
2	1615	2922
done	5001	2693

prune549.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

13.2b	(/ (fma 0.27061 x 2.30753) (* (* (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))))
13.5b	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
13.5b	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
13.5b	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

33.0ms	(/ (fma 0.27061 x 2.30753) (* (* (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))))
1.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
1.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
1.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))

series686.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(/ (fma 0.27061 x 2.30753) (* (* (cbrt (fma x (fma 0.04481 x 0.99229) 1.0)) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))))
200.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
212.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
197.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))

simplify2.1s

Counts

76 → 76

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	145	2088
1	347	2020
2	1037	1468
3	3443	1223
done	5000	1174

prune335.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes16.0ms

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	14	17
1	19	17
done	19	17

end0.0ms

sample882.0ms

Algorithm

intervals

Results

677.0ms

8000×

body

valid