Details

analyze698.0ms

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 15.986224%

Guaranteed chance to sample good point: 84.628219%

sample22.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	28×	body	80	invalid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (33.0ms)

Iter	Nodes	Cost
0	22	6
1	46	6
2	111	6
3	237	6
4	405	6
5	595	6
6	919	6
7	2627	5
8	5001	5

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `associate-*r/` `div-exp` `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 → 35

Calls

2 calls:

5.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
8.0ms	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

series16.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
9.0ms	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

simplify30.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	254	324
1	1030	289
2	5001	289

prune57.0ms

Filtered

30 candidates to 41 candidates (-36.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	40	3	43

Merged error: 0b

Counts

43 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
15×	`times-frac`
13×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`pow1` `associate-/r*`
2×	`+-commutative` `associate-+r+` `flip3-+` `div-sub` `sum-log` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `associate-+r-` `flip3--` `frac-2neg` `distribute-lft-in` `div-exp` `clear-num` `flip--` `div-inv` `distribute-lft-out`

Counts

3 → 64

Calls

3 calls:

3.0ms	(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))
9.0ms	(+ 0.25 (/ (- x z) y))
6.0ms	(/ (- x z) y)

series19.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))
5.0ms	(+ 0.25 (/ (- x z) y))
6.0ms	(/ (- x z) y)

simplify32.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	326	399
1	1055	367
2	5001	367

prune73.0ms

Filtered

53 candidates to 73 candidates (-37.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	73	3	76

Merged error: 0b

Counts

76 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
26×	`associate-r`
20×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
8×	`pow1`
6×	`associate-l`
4×	`associate-*r/` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-undiv` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `sum-log` `*-commutative` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 91

Calls

4 calls:

5.0ms	(+ (* 4.0 (/ x y)) 2.0)
7.0ms	(- (+ (* 4.0 (/ x y)) 2.0) (* 4.0 (/ z y)))
6.0ms	(* 4.0 (/ z y))
6.0ms	(* 4.0 (/ x y))

series17.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (* 4.0 (/ x y)) 2.0)
7.0ms	(- (+ (* 4.0 (/ x y)) 2.0) (* 4.0 (/ z y)))
3.0ms	(* 4.0 (/ z y))
3.0ms	(* 4.0 (/ x y))

simplify49.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	429	531
1	1873	498
2	5002	492

prune97.0ms

Filtered

71 candidates to 103 candidates (-45.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	103	3	106

Merged error: 0b

Counts

106 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (* 4.0 (- (+ x (* y 0.25)) z)) y)) (cbrt (/ (* 4.0 (- (+ x (* y 0.25)) z)) y)))
0.4b	(cbrt (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
0.4b	(cbrt (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
0.4b	(cbrt (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

53×	`cbrt-prod`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
21×	`times-frac`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

10.0ms	(* (cbrt (/ (* 4.0 (- (+ x (* y 0.25)) z)) y)) (cbrt (/ (* 4.0 (- (+ x (* y 0.25)) z)) y)))
6.0ms	(cbrt (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
6.0ms	(cbrt (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
6.0ms	(cbrt (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))

series328.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (cbrt (/ (* 4.0 (- (+ x (* y 0.25)) z)) y)) (cbrt (/ (* 4.0 (- (+ x (* y 0.25)) z)) y)))
71.0ms	(cbrt (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
69.0ms	(cbrt (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
67.0ms	(cbrt (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))

simplify52.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	407	1507
1	1399	1413
2	5001	1322

prune307.0ms

Filtered

93 candidates to 115 candidates (-23.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	115	3	118

Merged error: 0b

Counts

118 → 3

regimes173.0ms

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	14	5
1	14	5

end0.0ms

analyze698.0ms

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 15.986224%

Guaranteed chance to sample good point: 84.628219%

sample505.0ms

Algorithm

intervals

Results

293.0ms	8000×	body	80	valid
22.0ms	509×	body	80	invalid

Details

analyze698.0ms

sample22.0ms

simplify85.0ms

prune9.0ms

localize8.0ms

rewrite14.0ms

series16.0ms

simplify30.0ms

prune57.0ms

localize7.0ms

rewrite19.0ms

series19.0ms

simplify32.0ms

prune73.0ms

localize8.0ms

rewrite28.0ms

series17.0ms

simplify49.0ms

prune97.0ms

localize12.0ms

rewrite30.0ms

series328.0ms

simplify52.0ms

prune307.0ms

regimes173.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze698.0ms

sample505.0ms

Profiling