Details

sample24.0ms

Algorithm

intervals

Results

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

simplify15.0ms

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)

rewrite35.0ms

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)

series145.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
73.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
41.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

simplify69.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (13.0ms)

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

prune340.0ms

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)))

rewrite50.0ms

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:

30.0ms	(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
17.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series179.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
33.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
70.0ms	(/ (- 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

prune238.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

56×	`times-frac`
41×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`add-cube-cbrt`
22×	`add-exp-log`
17×	`add-cbrt-cube`
10×	`div-exp` `associate-/r*`
8×	`div-inv` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-undiv`
6×	`associate-/l*`
4×	`prod-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `1-exp` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `flip--` `fma-udef`

Counts

3 → 104

Calls

3 calls:

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
22.0ms	(/ (- x 1.0) (/ (* 1 (fma (sqrt x) 4.0 (+ x 1.0))) 6.0))
13.0ms	(/ (* 1 (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)

series151.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
68.0ms	(/ (- x 1.0) (/ (* 1 (fma (sqrt x) 4.0 (+ x 1.0))) 6.0))
46.0ms	(/ (* 1 (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)

simplify57.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	518	1051
1	2014	948
2	5001	947

prune222.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
0.0b	(log (pow (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))) 6.0))
0.0b	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
1.2b	(pow (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))) 6.0)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
38×	`exp-prod`
36×	`add-cube-cbrt`
20×	`pow-pow`
10×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log` `log-prod`
6×	`unpow-prod-down` `add-cbrt-cube`
5×	`pow1` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `rem-log-exp` `associate-/r*` `div-inv`
2×	`pow-to-exp` `div-sub` `pow-exp` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `exp-diff` `div-exp` `clear-num` `log-pow` `flip--` `rem-exp-log`

Counts

4 → 128

Calls

4 calls:

18.0ms	(exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
13.0ms	(log (pow (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))) 6.0))
16.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
28.0ms	(pow (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))) 6.0)

series566.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
238.0ms	(log (pow (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))) 6.0))
62.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
173.0ms	(pow (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))) 6.0)

simplify54.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	479	1272
1	1653	1179
2	5002	1169

prune403.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes17.0ms

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

sample654.0ms

Algorithm

intervals

Results

223.0ms	8000×	body	80	valid
198.0ms	8191×	body	80	nan