Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	18	21
1	38	18
2	72	18
3	164	17
4	339	17
5	596	17
6	819	17
7	926	17
8	1192	17
9	1633	17
10	1697	17
11	1698	17
done	1698	17

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.1b

localize25.0ms

Local error

Found 3 expressions with local error:

0.1b

(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)

2.9b

(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))

12.6b

(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

0.0ms

(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)

5.0ms

(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))

0.0ms

(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series321.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms

(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)

93.0ms

(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))

196.0ms

(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify1.2s

Counts

58 → 58

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	122	869
1	233	849
2	546	762
3	1422	757
done	5001	747

prune251.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.4b	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
2.8b	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
12.6b	(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `fma-udef`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

4 → 127

Calls

4 calls:

0.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
10.0ms	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
5.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
1.0ms	(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series287.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
57.0ms	(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
55.0ms	(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
125.0ms	(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify1.8s

Counts

139 → 139

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	227	2439
1	463	2211
2	959	1935
3	2432	1912
done	5000	1908

prune509.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.5b	(/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))
3.1b	(* (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)) y)
12.6b	(fma (* (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)) y) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

0.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
7.0ms	(/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))
36.0ms	(* (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)) y)
0.0ms	(fma (* (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)) y) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series303.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
56.0ms	(/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304))
73.0ms	(* (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)) y)
131.0ms	(fma (* (/ 1 (fma (+ z 6.012459259764103) z 3.350343815022304)) y) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify1.4s

Counts

102 → 102

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	171	1477
1	356	1308
2	826	1155
3	2118	1147
done	5000	1145

prune683.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

2.0b	(exp (- (log (fma (+ z 6.012459259764103) z 3.350343815022304))))
3.1b	(* (exp (- (log (fma (+ z 6.012459259764103) z 3.350343815022304)))) y)
11.9b	(log (fma (+ z 6.012459259764103) z 3.350343815022304))
12.6b	(fma (* (exp (- (log (fma (+ z 6.012459259764103) z 3.350343815022304)))) y) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `exp-prod` `*-un-lft-identity`
10×	`log-prod`
9×	`pow1`
7×	`distribute-neg-in` `exp-sum`
6×	`add-exp-log` `associate-l` `add-cbrt-cube`
5×	`add-log-exp`
4×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-neg-in` `log1p-expm1-u`
3×	`associate-r` `log-pow`
2×	`neg-sub0` `exp-neg` `exp-diff` `associate-*l/` `rem-exp-log` `unswap-sqr`
1×	`neg-mul-1` `rem-log-exp` `pow-prod-down` `neg-log` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 78

Calls

4 calls:

8.0ms	(exp (- (log (fma (+ z 6.012459259764103) z 3.350343815022304))))
60.0ms	(* (exp (- (log (fma (+ z 6.012459259764103) z 3.350343815022304)))) y)
3.0ms	(log (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms	(fma (* (exp (- (log (fma (+ z 6.012459259764103) z 3.350343815022304)))) y) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series990.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(exp (- (log (fma (+ z 6.012459259764103) z 3.350343815022304))))
338.0ms	(* (exp (- (log (fma (+ z 6.012459259764103) z 3.350343815022304)))) y)
92.0ms	(log (fma (+ z 6.012459259764103) z 3.350343815022304))
399.0ms	(fma (* (exp (- (log (fma (+ z 6.012459259764103) z 3.350343815022304)))) y) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify2.2s

Counts

90 → 90

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	184	1348
1	392	1262
2	1008	1038
3	2685	1015
done	5001	1008

prune443.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes270.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.6b

bsearch188.0ms

Steps

Iters	Range		Point
9	5729.342694487068	8685649418.189968	203454031.5286219
7	-5.501557726443372e+24	-6.414671995288207e+22	-6.50970587139198e+22

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	24	43
1	28	35
done	28	35

end0.0ms

sample1.1s

Algorithm

intervals

Results

772.0ms

8000×

body

valid