Details

sample37.0ms

Algorithm

intervals

Results

19.0ms

510×

body

valid

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 9 (90.0ms)

Iter	Nodes	Cost
0	21	6
1	52	6
2	171	6
3	401	6
4	829	6
5	1090	6
6	1610	6
7	1956	6
8	2252	6
9	2367	5
10	2367	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
5.9b	(* (* y 4.0) (- (* z z) t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

13×	`prod-diff`
10×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
8×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`sub-neg`
4×	`associate-r` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
1×	`fma-neg` `diff-log` `associate-l` `*-commutative` `difference-of-squares`

Counts

2 → 59

Calls

2 calls:

5.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
15.0ms	(* (* y 4.0) (- (* z z) t))

series166.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
76.0ms	(* (* y 4.0) (- (* z z) t))

simplify60.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	385	490
1	1737	408
2	5001	399

prune173.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (/ (* (* (* y 4.0) (fma z z t)) (- (* z z) t)) (+ (* z z) t)))
0.2b	(* (* (* y 4.0) (fma z z t)) (- (* z z) t))
5.9b	(* (* y 4.0) (fma z z t))
24.8b	(/ (* (* (* y 4.0) (fma z z t)) (- (* z z) t)) (+ (* z z) t))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
15×	`prod-diff` `prod-exp` `cbrt-unprod`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow-prod-down`
7×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `add-log-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `associate-*r/` `div-exp` `associate-/r/` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `associate-/r*` `flip--`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+` `fma-udef` `div-inv` `associate-/l/` `difference-of-squares`
1×	`frac-2neg` `fma-neg` `diff-log` `clear-num` `associate-/l*`

Counts

4 → 114

Calls

4 calls:

17.0ms	(- (* x x) (/ (* (* (* y 4.0) (fma z z t)) (- (* z z) t)) (+ (* z z) t)))
29.0ms	(* (* (* y 4.0) (fma z z t)) (- (* z z) t))
7.0ms	(* (* y 4.0) (fma z z t))
31.0ms	(/ (* (* (* y 4.0) (fma z z t)) (- (* z z) t)) (+ (* z z) t))

series562.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(- (* x x) (/ (* (* (* y 4.0) (fma z z t)) (- (* z z) t)) (+ (* z z) t)))
156.0ms	(* (* (* y 4.0) (fma z z t)) (- (* z z) t))
72.0ms	(* (* y 4.0) (fma z z t))
154.0ms	(/ (* (* (* y 4.0) (fma z z t)) (- (* z z) t)) (+ (* z z) t))

simplify161.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	749	1631
1	4846	1195
2	5001	1195

prune370.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ 1 (/ (/ (fma z z t) (* (* y 4.0) (fma z z t))) (- (* z z) t)))
5.9b	(* (* y 4.0) (fma z z t))
6.1b	(/ (/ (fma z z t) (* (* y 4.0) (fma z z t))) (- (* z z) t))
9.9b	(/ (fma z z t) (* (* y 4.0) (fma z z t)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

308×	`times-frac`
160×	`add-sqr-sqrt`
124×	`add-cube-cbrt` `*-un-lft-identity`
82×	`add-exp-log`
52×	`add-cbrt-cube`
41×	`div-exp`
39×	`associate-/r*`
36×	`difference-of-squares`
28×	`div-inv`
22×	`cbrt-undiv`
18×	`prod-exp`
13×	`associate-/l*`
12×	`cbrt-unprod`
11×	`associate-/r/`
10×	`pow1`
5×	`rec-exp` `flip3--` `1-exp` `flip--`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-r` `pow-prod-down` `clear-num`
2×	`fma-udef`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `associate-l` `*-commutative` `associate-/l/` `inv-pow`

Counts

4 → 283

Calls

4 calls:

26.0ms	(/ 1 (/ (/ (fma z z t) (* (* y 4.0) (fma z z t))) (- (* z z) t)))
7.0ms	(* (* y 4.0) (fma z z t))
15.0ms	(/ (/ (fma z z t) (* (* y 4.0) (fma z z t))) (- (* z z) t))
7.0ms	(/ (fma z z t) (* (* y 4.0) (fma z z t)))

series187.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ 1 (/ (/ (fma z z t) (* (* y 4.0) (fma z z t))) (- (* z z) t)))
75.0ms	(* (* y 4.0) (fma z z t))
44.0ms	(/ (/ (fma z z t) (* (* y 4.0) (fma z z t))) (- (* z z) t))
16.0ms	(/ (fma z z t) (* (* y 4.0) (fma z z t)))

simplify83.0ms

Algorithm

egg-herbie

Counts

295 → 295

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1106	3944
1	5002	3302

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.2b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (/ (cbrt 1) (/ (/ 1 (* y 4.0)) (cbrt 1))) (* (cbrt 1) (- (* z z) t))))
0.2b	(/ (cbrt 1) (/ (/ 1 (* y 4.0)) (cbrt 1)))
5.9b	(* (/ (cbrt 1) (/ (/ 1 (* y 4.0)) (cbrt 1))) (* (cbrt 1) (- (* z z) t)))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

1332×	`times-frac`
552×	`cbrt-prod`
549×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
281×	`associate-l`
116×	`add-exp-log`
93×	`div-inv`
57×	`div-exp`
46×	`associate-/r*`
40×	`distribute-rgt-in` `distribute-lft-in`
36×	`prod-exp` `add-cbrt-cube`
27×	`cbrt-undiv`
25×	`prod-diff`
20×	`associate--r+`
18×	`cbrt-unprod`
9×	`sub-neg`
8×	`pow1`
6×	`rec-exp` `1-exp` `associate-r/` `associate-/l`
5×	`add-log-exp`
3×	`expm1-log1p-u` `flip3--` `pow-prod-down` `flip--` `log1p-expm1-u`
2×	`frac-times` `associate-/r/`
1×	`frac-2neg` `fma-neg` `diff-log` `associate-r` `associate-l/` `clear-num` `-commutative`

Counts

3 → 736

Calls

3 calls:

8.0ms	(- (* x x) (* (/ (cbrt 1) (/ (/ 1 (* y 4.0)) (cbrt 1))) (* (cbrt 1) (- (* z z) t))))
23.0ms	(/ (cbrt 1) (/ (/ 1 (* y 4.0)) (cbrt 1)))
121.0ms	(* (/ (cbrt 1) (/ (/ 1 (* y 4.0)) (cbrt 1))) (* (cbrt 1) (- (* z z) t)))

series188.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(- (* x x) (* (/ (cbrt 1) (/ (/ 1 (* y 4.0)) (cbrt 1))) (* (cbrt 1) (- (* z z) t))))
18.0ms	(/ (cbrt 1) (/ (/ 1 (* y 4.0)) (cbrt 1)))
79.0ms	(* (/ (cbrt 1) (/ (/ 1 (* y 4.0)) (cbrt 1))) (* (cbrt 1) (- (* z z) t)))

simplify155.0ms

Algorithm

egg-herbie

Counts

745 → 745

Iterations

Useful iterations: 1 (56.0ms)

Iter	Nodes	Cost
0	2341	10197
1	5001	9431

prune2.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.2b

regimes414.0ms

Accuracy

86.7% (0.4b remaining)

Error of 3.3b against oracle of 2.9b and baseline of 6.1b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

end0.0ms

sample889.0ms

Algorithm

intervals

Results

490.0ms

15817×

body

valid