Details

sample30.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
7.0ms	304×	body	80	nan

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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 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)

rewrite22.0ms

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))
13.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
2.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

series179.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
85.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
55.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

simplify76.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (17.0ms)

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

prune387.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 92

Calls

3 calls:

16.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
12.0ms	(* 6.0 (- x 1.0))
27.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series164.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
48.0ms	(* 6.0 (- x 1.0))
79.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify71.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	466	778
1	2126	572
2	5002	560

prune195.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ 1 (/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0) (- x 1.0)))
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
0.2b	(/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0) (- x 1.0))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

781×	`times-frac`
468×	`add-sqr-sqrt` `*-un-lft-identity`
336×	`add-cube-cbrt`
79×	`associate-/r*`
66×	`distribute-lft-out--` `difference-of-squares`
33×	`div-inv`
32×	`add-exp-log`
20×	`add-cbrt-cube`
19×	`div-exp` `associate-/l*`
11×	`associate-/r/`
10×	`cbrt-undiv`
5×	`pow1` `flip3--` `flip--`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `fma-udef` `associate-/l/` `inv-pow`

Counts

4 → 455

Calls

4 calls:

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
28.0ms	(/ 1 (/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0) (- x 1.0)))
2.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
10.0ms	(/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0) (- x 1.0))

series275.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
87.0ms	(/ 1 (/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0) (- x 1.0)))
55.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
94.0ms	(/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0) (- x 1.0))

simplify100.0ms

Algorithm

egg-herbie

Counts

467 → 467

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1455	6777
1	5001	6250

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

125×	`sqrt-prod`
108×	`prod-diff`
101×	`add-sqr-sqrt`
95×	`*-un-lft-identity`
83×	`add-cube-cbrt`
39×	`distribute-rgt-in` `distribute-lft-in`
20×	`add-exp-log` `add-cbrt-cube`
18×	`associate-*r/`
14×	`associate-r`
11×	`pow1`
8×	`frac-times` `flip3-+` `flip-+` `associate-/l/` `difference-of-squares`
7×	`flip3--` `prod-exp` `flip--` `cbrt-unprod`
6×	`fma-neg` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `distribute-lft-out--`
3×	`cbrt-undiv` `sub-neg` `times-frac` `div-exp` `associate-/r*`
2×	`associate-/r/` `*-commutative` `distribute-lft-out`
1×	`frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 233

Calls

4 calls:

11.0ms	(- (sqrt x) (sqrt 1.0))
69.0ms	(/ (* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))
26.0ms	(* 6.0 (+ (sqrt x) (sqrt 1.0)))
51.0ms	(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))

series813.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (sqrt x) (sqrt 1.0))
463.0ms	(/ (* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))
64.0ms	(* 6.0 (+ (sqrt x) (sqrt 1.0)))
231.0ms	(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))

simplify63.0ms

Algorithm

egg-herbie

Counts

245 → 245

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1100	4347
1	5002	3378

prune521.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes40.0ms

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	11	6
1	11	6

end0.0ms

sample602.0ms

Algorithm

intervals

Results

227.0ms	8000×	body	80	valid
199.0ms	7960×	body	80	nan