Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

334×

body

valid

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	14	4
1	27	3
2	62	3
3	112	3
4	170	3
5	213	3
6	260	3
7	450	3
8	845	3
9	1532	3
10	3138	3
11	4587	3
12	5001	3

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize10.0ms

Local error

Found 1 expressions with local error:

1.9b	(fma (- y x) (/ z t) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (- y x) (/ z t) x)

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(fma (- y x) (/ z t) x)

simplify44.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	41	69
1	86	62
2	257	53
3	1248	53
4	5003	53

prune38.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 2.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (- y x) (/ z t) x))
1.9b	(fma (- y x) (/ z t) x)
1.9b	(fma (- y x) (/ z t) x)
1.9b	(fma (- y x) (/ z t) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma (- y x) (/ z t) x))
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)

series302.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(cbrt (fma (- y x) (/ z t) x))
36.0ms	(fma (- y x) (/ z t) x)
34.0ms	(fma (- y x) (/ z t) x)
35.0ms	(fma (- y x) (/ z t) x)

simplify43.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	117	320
1	277	290
2	1031	260
3	5001	255

prune168.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 2.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (fma (- y x) (/ z t) x))
0.3b	(* (sqrt (fma (- y x) (/ z t) x)) (sqrt (fma (- y x) (/ z t) x)))
1.9b	(fma (- y x) (/ z t) x)
1.9b	(fma (- y x) (/ z t) x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

2.0ms	(sqrt (fma (- y x) (/ z t) x))
6.0ms	(* (sqrt (fma (- y x) (/ z t) x)) (sqrt (fma (- y x) (/ z t) x)))
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)

series215.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(sqrt (fma (- y x) (/ z t) x))
38.0ms	(* (sqrt (fma (- y x) (/ z t) x)) (sqrt (fma (- y x) (/ z t) x)))
34.0ms	(fma (- y x) (/ z t) x)
35.0ms	(fma (- y x) (/ z t) x)

simplify152.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (144.0ms)

Iter	Nodes	Cost
0	198	579
1	682	509
2	3586	459
3	5002	441

prune204.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 2.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (sqrt (sqrt (fma (- y x) (/ z t) x))) 3) (sqrt (sqrt (fma (- y x) (/ z t) x))))
0.3b	(pow (sqrt (sqrt (fma (- y x) (/ z t) x))) 3)
1.9b	(fma (- y x) (/ z t) x)
1.9b	(fma (- y x) (/ z t) x)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

87×	`sqrt-prod`
66×	`add-sqr-sqrt`
27×	`unpow-prod-down` `cube-prod`
24×	`associate-l` `unswap-sqr`
21×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
9×	`associate-r`
8×	`pow1`
7×	`add-cbrt-cube`
5×	`pow-pow` `sqr-pow`
4×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `pow1/2` `unpow3` `pow-exp` `fma-udef`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 135

Calls

4 calls:

13.0ms	(* (pow (sqrt (sqrt (fma (- y x) (/ z t) x))) 3) (sqrt (sqrt (fma (- y x) (/ z t) x))))
7.0ms	(pow (sqrt (sqrt (fma (- y x) (/ z t) x))) 3)
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)

series428.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (pow (sqrt (sqrt (fma (- y x) (/ z t) x))) 3) (sqrt (sqrt (fma (- y x) (/ z t) x))))
322.0ms	(pow (sqrt (sqrt (fma (- y x) (/ z t) x))) 3)
35.0ms	(fma (- y x) (/ z t) x)
36.0ms	(fma (- y x) (/ z t) x)

simplify62.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	325	1468
1	1369	1233
2	5001	997

prune285.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 2.0b

regimes168.0ms

Accuracy

0% (0.1b remaining)

Error of 2.0b against oracle of 2.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3

end0.0ms

sample523.0ms

Algorithm

intervals

Results

271.0ms

10609×

body

valid