Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

335×

body

valid

simplify102.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

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

prune7.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

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)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

6.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
3.0ms	(+ x (* y 0.75))
14.0ms	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

series91.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
24.0ms	(+ x (* y 0.75))
36.0ms	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

simplify39.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	333	411
1	1347	350
2	5002	340

prune144.0ms

Filtered

67 candidates to 55 candidates (82.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	67	2	69

Merged error: 0b

Counts

69 → 2

localize8.0ms

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))

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) (- 4.0 (* 4.0 (/ z y))))
6.0ms	(* 4.0 (/ z y))

series48.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))
22.0ms	(* 4.0 (/ z y))

simplify81.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	192	228
1	847	202
2	3740	202
3	5001	199

prune90.0ms

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

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
108×	`*-un-lft-identity`
106×	`add-sqr-sqrt`
74×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
8×	`add-log-exp`
6×	`fma-def` `div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
2×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+`
1×	`distribute-lft-out`

Counts

4 → 176

Calls

4 calls:

20.0ms	(+ 1.0 (/ 4.0 (/ y (- (+ x (* y 0.75)) z))))
3.0ms	(+ x (* y 0.75))
6.0ms	(/ y (- (+ x (* y 0.75)) z))
10.0ms	(/ 4.0 (/ y (- (+ x (* y 0.75)) z)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ 1.0 (/ 4.0 (/ y (- (+ x (* y 0.75)) z))))
23.0ms	(+ x (* y 0.75))
86.0ms	(/ y (- (+ x (* y 0.75)) z))
46.0ms	(/ 4.0 (/ y (- (+ x (* y 0.75)) z)))

simplify82.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	647	1716
1	2960	1592
2	5001	1576

prune401.0ms

Filtered

188 candidates to 146 candidates (77.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	188	2	190

Merged error: 0b

Counts

190 → 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	10	5
1	10	5

end0.0ms

sample588.0ms

Algorithm

intervals

Results

374.0ms

10075×

body

valid