Details

sample20.0ms

Algorithm

intervals

Results

9.0ms	327×	body	80	valid
0.0ms	1×	body	640	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	5
1	50	4
2	148	4
3	318	4
4	473	4
5	485	4
6	485	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ d3 5.0) d1)
0.0b	(fma d1 d2 (* (+ d3 5.0) d1))
0.0b	(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-l`
3×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
2×	`associate-*l/` `fma-udef`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

6.0ms	(* (+ d3 5.0) d1)
1.0ms	(fma d1 d2 (* (+ d3 5.0) d1))
1.0ms	(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

series107.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (+ d3 5.0) d1)
33.0ms	(fma d1 d2 (* (+ d3 5.0) d1))
46.0ms	(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

simplify57.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	157	218
1	553	192
2	2658	192
3	5001	192

prune136.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 37.0 d1 (fma d1 d3 (* d1 d2)))

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 37.0 d1 (fma d1 d3 (* d1 d2)))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(fma 37.0 d1 (fma d1 d3 (* d1 d2)))

simplify122.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	32	58
1	97	51
2	536	51
3	3836	51
4	5001	51

prune32.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ d3 5.0))
0.0b	(fma 32.0 d1 (fma d1 d2 (* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))))
0.2b	(* (sqrt (+ d3 5.0)) d1)
0.3b	(* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `sqrt-div`
14×	`associate-l`
13×	`sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*l/`
8×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef` `hypot-def`

Counts

4 → 88

Calls

4 calls:

3.0ms	(sqrt (+ d3 5.0))
1.0ms	(fma 32.0 d1 (fma d1 d2 (* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))))
7.0ms	(* (sqrt (+ d3 5.0)) d1)
11.0ms	(* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))

series182.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(sqrt (+ d3 5.0))
46.0ms	(fma 32.0 d1 (fma d1 d2 (* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))))
81.0ms	(* (sqrt (+ d3 5.0)) d1)
26.0ms	(* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))

simplify41.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	362	627
1	1214	531
2	5002	523

prune258.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes81.0ms

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	8	3
1	8	3

end0.0ms

sample502.0ms

Algorithm

intervals

Results

289.0ms	10068×	body	80	valid
5.0ms	20×	body	640	valid
1.0ms	12×	body	320	valid
1.0ms	5×	body	1280	valid
0.0ms	4×	body	160	valid