Details

sample25.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
6.0ms	237×	body	80	nan

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	7
1	41	6
2	69	6
3	95	6
4	125	6
5	140	6
6	142	6
7	142	6

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

128×	`times-frac`
95×	`add-sqr-sqrt` `*-un-lft-identity`
67×	`add-cube-cbrt`
16×	`associate-/r*`
14×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `flip--` `fma-udef`

Counts

3 → 142

Calls

3 calls:

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
24.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
5.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

series161.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
80.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
46.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

simplify71.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	627	1691
1	2379	1609
2	5002	1609

prune324.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*`
3×	`expm1-log1p-u` `associate-r` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip--` `fma-udef`

Counts

3 → 90

Calls

3 calls:

29.0ms	(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
16.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series188.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
36.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
72.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	357	827
1	1182	752
2	5001	738

prune221.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (- x 1.0) (/ (pow (fma (sqrt x) 4.0 (+ x 1.0)) 1) 6.0))
0.0b	(/ (pow (fma (sqrt x) 4.0 (+ x 1.0)) 1) 6.0)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

272×	`times-frac`
181×	`add-sqr-sqrt` `*-un-lft-identity`
129×	`add-cube-cbrt`
66×	`unpow-prod-down`
28×	`associate-/r*`
26×	`distribute-lft-out--` `difference-of-squares`
22×	`sqr-pow`
18×	`add-exp-log`
12×	`associate-/l*`
10×	`div-exp` `add-cbrt-cube`
8×	`div-inv`
4×	`cbrt-undiv`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `flip--` `fma-udef`

Counts

3 → 234

Calls

3 calls:

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
25.0ms	(/ (- x 1.0) (/ (pow (fma (sqrt x) 4.0 (+ x 1.0)) 1) 6.0))
11.0ms	(/ (pow (fma (sqrt x) 4.0 (+ x 1.0)) 1) 6.0)

series167.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
80.0ms	(/ (- x 1.0) (/ (pow (fma (sqrt x) 4.0 (+ x 1.0)) 1) 6.0))
52.0ms	(/ (pow (fma (sqrt x) 4.0 (+ x 1.0)) 1) 6.0)

simplify95.0ms

Algorithm

egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	1013	3099
1	3338	2799
2	5002	2796

prune409.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))
0.1b	(* (- x 1.0) (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
19×	`add-cube-cbrt` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-l`
3×	`expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `frac-times` `flip3--` `div-exp` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 79

Calls

3 calls:

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
4.0ms	(/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))
27.0ms	(* (- x 1.0) (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))))

series169.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
61.0ms	(/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))
74.0ms	(* (- x 1.0) (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))))

simplify234.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	343	685
1	1476	612
2	5001	611

prune195.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes14.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6

end0.0ms

sample665.0ms

Algorithm

intervals

Results

228.0ms	8000×	body	80	valid
201.0ms	8191×	body	80	nan