Details

sample27.0ms

Algorithm

intervals

Results

8.0ms	233×	body	80	nan
7.0ms	256×	body	80	valid

simplify20.0ms

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 132

Calls

2 calls:

5.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
23.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

series127.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
78.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

simplify72.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	615	1625
1	2352	1553
2	5002	1553

prune329.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
0.1b	(/ 1.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
0.2b	(/ x (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

168×	`times-frac`
104×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`associate-/r*`
18×	`add-exp-log` `add-cbrt-cube`
12×	`div-inv` `associate-/l*`
8×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`associate-/r/`

Counts

4 → 202

Calls

4 calls:

5.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
5.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
9.0ms	(/ 1.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
9.0ms	(/ x (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

series250.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
43.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
62.0ms	(/ 1.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
95.0ms	(/ x (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

simplify88.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	668	2123
1	2799	2002
2	5001	2002

prune619.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 6.0 (- x 1.0))
0.3b	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 73

Calls

2 calls:

25.0ms	(* 6.0 (- x 1.0))
53.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series114.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* 6.0 (- x 1.0))
70.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify59.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	410	659
1	1943	471
2	5001	463

prune157.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

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	11
1	12	11

end0.0ms

sample650.0ms

Algorithm

intervals

Results

225.0ms	8000×	body	80	valid
200.0ms	8007×	body	80	nan