Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

323×

body

valid

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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 4 expressions with local error:

0.0b	(- (+ x (* y 0.75)) z)
0.0b	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
0.0b	(+ x (* y 0.75))
0.1b	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

106×	`*-un-lft-identity`
62×	`add-sqr-sqrt`
48×	`times-frac`
44×	`add-cube-cbrt`
28×	`associate-r`
22×	`associate-l`
21×	`distribute-lft-out`
16×	`associate-/l*`
15×	`prod-diff` `distribute-lft-out--`
13×	`add-log-exp`
9×	`add-exp-log` `add-cbrt-cube`
6×	`fma-def`
5×	`fma-neg` `difference-of-squares`
4×	`pow1` `expm1-log1p-u` `*-commutative` `log1p-expm1-u` `unswap-sqr`
3×	`+-commutative` `associate-/r*` `sum-log`
2×	`cbrt-undiv` `flip3--` `flip3-+` `diff-log` `associate-*r/` `div-exp` `associate--l+` `flip--` `flip-+` `associate-/l/`
1×	`sub-neg` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv`

Counts

4 → 161

Calls

4 calls:

10.0ms	(- (+ x (* y 0.75)) z)
22.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
6.0ms	(+ x (* y 0.75))
22.0ms	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

series121.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (+ x (* y 0.75)) z)
26.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
25.0ms	(+ x (* y 0.75))
42.0ms	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

simplify85.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	600	1310
1	2496	1088
2	5001	1068

prune265.0ms

Filtered

173 candidates to 117 candidates (67.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	171	2	173
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	173	2	175

Merged error: 0b

Counts

175 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

1.0ms	(fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))
8.0ms	(* 4.0 (/ z y))

series45.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))
19.0ms	(* 4.0 (/ z y))

simplify85.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	214	245
1	987	219
2	4250	219
3	5001	216

prune95.0ms

Filtered

60 candidates to 43 candidates (71.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	60	2	62

Merged error: 0b

Counts

62 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma 0.75 y x) z)
0.1b	(fma 0.75 y x)
0.2b	(fma (/ 4.0 y) (- (fma 0.75 y x) z) 1.0)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cube-cbrt`
9×	`prod-diff`
5×	`add-log-exp`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-neg` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 49

Calls

3 calls:

4.0ms	(- (fma 0.75 y x) z)
1.0ms	(fma 0.75 y x)
1.0ms	(fma (/ 4.0 y) (- (fma 0.75 y x) z) 1.0)

series99.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(- (fma 0.75 y x) z)
28.0ms	(fma 0.75 y x)
48.0ms	(fma (/ 4.0 y) (- (fma 0.75 y x) z) 1.0)

simplify76.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	165	311
1	522	225
2	2916	216
3	5002	200

prune94.0ms

Filtered

58 candidates to 40 candidates (69.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	58	2	60

Merged error: 0b

Counts

60 → 2

regimes40.0ms

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	10	5
1	10	5

end0.0ms

sample518.0ms

Algorithm

intervals

Results

311.0ms

10147×

body

valid