Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

301×

body

valid

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	22	6
1	50	6
2	124	4
3	280	4
4	534	4
5	869	4
6	1397	4
7	3521	4
8	5001	4

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
0.0b	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`add-log-exp`
3×	`fma-def` `times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `associate-*r/` `div-exp` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `flip--` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

2 → 42

Calls

2 calls:

5.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
9.0ms	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

series62.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
37.0ms	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

simplify32.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	265	349
1	1079	306
2	5002	297

prune96.0ms

Filtered

48 candidates to 38 candidates (79.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	48	2	50

Merged error: 0b

Counts

50 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 4.0 (/ x y) (- 2.0 (* 4.0 (/ z y))))
0.0b	(* 4.0 (/ z y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `fma-udef` `div-inv`

Counts

2 → 44

Calls

2 calls:

1.0ms	(fma 4.0 (/ x y) (- 2.0 (* 4.0 (/ z y))))
6.0ms	(* 4.0 (/ z y))

series70.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(fma 4.0 (/ x y) (- 2.0 (* 4.0 (/ z y))))
27.0ms	(* 4.0 (/ z y))

simplify103.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	193	228
1	829	202
2	3625	202
3	5002	199

prune85.0ms

Filtered

50 candidates to 37 candidates (74.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	50	2	52

Merged error: 0b

Counts

52 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (/ 4.0 (/ y (fma 0.25 y (- x z)))))
0.0b	(/ y (fma 0.25 y (- x z)))
0.2b	(/ 4.0 (/ y (fma 0.25 y (- x z))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
56×	`*-un-lft-identity`
54×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out`

Counts

3 → 118

Calls

3 calls:

14.0ms	(+ 1.0 (/ 4.0 (/ y (fma 0.25 y (- x z)))))
3.0ms	(/ y (fma 0.25 y (- x z)))
6.0ms	(/ 4.0 (/ y (fma 0.25 y (- x z))))

series167.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ 1.0 (/ 4.0 (/ y (fma 0.25 y (- x z)))))
82.0ms	(/ y (fma 0.25 y (- x z)))
39.0ms	(/ 4.0 (/ y (fma 0.25 y (- x z))))

simplify50.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	437	1006
1	1807	948
2	5001	947

prune240.0ms

Filtered

127 candidates to 103 candidates (81.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	127	2	129

Merged error: 0b

Counts

129 → 2

regimes38.0ms

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	11	5
1	11	5

end0.0ms

sample591.0ms

Algorithm

intervals

Results

366.0ms

10055×

body

valid