Details

sample22.0ms

Algorithm

intervals

Results

11.0ms	310×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify18.0ms

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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

6.0ms	(* (+ d3 5.0) d1)
4.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
6.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

series99.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(* (+ d3 5.0) d1)
35.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
39.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	291	330
1	1190	304
2	5002	294

prune125.0ms

Filtered

64 candidates to 51 candidates (79.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	2	65

Merged error: 0.0b

Counts

65 → 2

localize6.0ms

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)))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify128.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (5.0ms)

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

prune28.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ d3 5.0) d1)
0.0b	(+ (cbrt (pow (fma d1 d2 (* (+ d3 5.0) d1)) 3)) (* d1 32.0))
0.3b	(pow (fma d1 d2 (* (+ d3 5.0) d1)) 3)
36.4b	(cbrt (pow (fma d1 d2 (* (+ d3 5.0) d1)) 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
18×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
15×	`fma-def`
9×	`unpow-prod-down` `cube-prod`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
3×	`cube-mult` `pow-unpow` `unpow3` `associate-r` `sqr-pow`
2×	`flip3-+` `associate-*l/` `flip-+`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `distribute-lft-out` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

6.0ms	(* (+ d3 5.0) d1)
7.0ms	(+ (cbrt (pow (fma d1 d2 (* (+ d3 5.0) d1)) 3)) (* d1 32.0))
2.0ms	(pow (fma d1 d2 (* (+ d3 5.0) d1)) 3)
2.0ms	(cbrt (pow (fma d1 d2 (* (+ d3 5.0) d1)) 3))

series171.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (+ d3 5.0) d1)
44.0ms	(+ (cbrt (pow (fma d1 d2 (* (+ d3 5.0) d1)) 3)) (* d1 32.0))
70.0ms	(pow (fma d1 d2 (* (+ d3 5.0) d1)) 3)
33.0ms	(cbrt (pow (fma d1 d2 (* (+ d3 5.0) d1)) 3))

simplify53.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	354	589
1	1630	527
2	5001	513

prune213.0ms

Filtered

111 candidates to 73 candidates (65.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	111	2	113

Merged error: 0.0b

Counts

113 → 2

regimes54.0ms

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

sample583.0ms

Algorithm

intervals

Results

353.0ms	10082×	body	80	valid
1.0ms	10×	body	640	valid
1.0ms	10×	body	320	valid
1.0ms	6×	body	1280	valid
0.0ms	3×	body	160	valid