Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

334×

body

valid

simplify123.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.9b

localize6.0ms

Local error

Found 1 expressions with local error:

2.7b	(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)

series39.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify48.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

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

prune39.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 2.8b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (- y x) (/ z t) x))
2.7b	(fma (- y x) (/ z t) x)
2.7b	(fma (- y x) (/ z t) x)
2.7b	(fma (- y x) (/ z t) x)

rewrite5.0ms

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)

series310.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt (fma (- y x) (/ z t) x))
35.0ms	(fma (- y x) (/ z t) x)
35.0ms	(fma (- y x) (/ z t) x)
39.0ms	(fma (- y x) (/ z t) x)

simplify45.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (36.0ms)

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

prune169.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 2.8b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma (- y x) (/ z t) x))
0.3b	(* (sqrt (fma (- y x) (/ z t) x)) (sqrt (fma (- y x) (/ z t) x)))
2.7b	(fma (- y x) (/ z t) x)
2.7b	(fma (- y x) (/ z t) x)

rewrite15.0ms

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:

1.0ms	(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)

series225.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(sqrt (fma (- y x) (/ z t) x))
40.0ms	(* (sqrt (fma (- y x) (/ z t) x)) (sqrt (fma (- y x) (/ z t) x)))
36.0ms	(fma (- y x) (/ z t) x)
35.0ms	(fma (- y x) (/ z t) x)

simplify155.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (147.0ms)

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

prune211.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 2.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (sqrt (fma (- y x) (/ z t) x))) (sqrt (sqrt (fma (- y x) (/ z t) x))))
2.7b	(fma (- y x) (/ z t) x)
2.7b	(fma (- y x) (/ z t) x)
2.7b	(fma (- y x) (/ z t) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

66×	`sqrt-prod`
46×	`add-sqr-sqrt`
32×	`sqrt-pow1`
27×	`pow1`
16×	`add-cube-cbrt` `*-un-lft-identity` `pow1/2`
15×	`swap-sqr`
9×	`associate-r` `associate-l` `pow-prod-up` `unswap-sqr`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-down` `pow-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`fma-udef`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 107

Calls

4 calls:

14.0ms	(* (sqrt (sqrt (fma (- y x) (/ z t) x))) (sqrt (sqrt (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)

series227.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (sqrt (sqrt (fma (- y x) (/ z t) x))) (sqrt (sqrt (fma (- y x) (/ z t) x))))
40.0ms	(fma (- y x) (/ z t) x)
35.0ms	(fma (- y x) (/ z t) x)
35.0ms	(fma (- y x) (/ z t) x)

simplify216.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	226	837
1	833	726
2	4521	665
3	5001	665

prune239.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.8b

regimes213.0ms

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

sample562.0ms

Algorithm

intervals

Results

294.0ms

10672×

body

valid