Details

sample22.0ms

Algorithm

intervals

Results

11.0ms

324×

body

valid

simplify98.0ms

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

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 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)

rewrite20.0ms

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:

6.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
13.0ms	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

series60.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
36.0ms	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

simplify32.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (26.0ms)

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

prune98.0ms

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 3 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
10×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
3×	`expm1-log1p-u` `fma-neg` `associate-l` `prod-diff` `log1p-expm1-u`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `flip--` `fma-udef` `div-inv`

Counts

3 → 64

Calls

3 calls:

3.0ms	(- 2.0 (* 4.0 (/ z y)))
1.0ms	(fma 4.0 (/ x y) (- 2.0 (* 4.0 (/ z y))))
6.0ms	(* 4.0 (/ z y))

series74.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(- 2.0 (* 4.0 (/ z y)))
26.0ms	(fma 4.0 (/ x y) (- 2.0 (* 4.0 (/ z y))))
22.0ms	(* 4.0 (/ z y))

simplify34.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	267	355
1	1067	317
2	5001	316

prune130.0ms

Filtered

73 candidates to 53 candidates (72.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	73	2	75

Merged error: 0b

Counts

75 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 111

Calls

4 calls:

6.0ms	(cbrt (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
5.0ms	(cbrt (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
6.0ms	(cbrt (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
12.0ms	(* (cbrt (/ (* 4.0 (- (+ x (* y 0.25)) z)) y)) (cbrt (/ (* 4.0 (- (+ x (* y 0.25)) z)) y)))

series1.5s

Counts

4 → 12

Calls

4 calls:

333.0ms	(cbrt (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
351.0ms	(cbrt (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
337.0ms	(cbrt (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
485.0ms	(* (cbrt (/ (* 4.0 (- (+ x (* y 0.25)) z)) y)) (cbrt (/ (* 4.0 (- (+ x (* y 0.25)) z)) y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	404	1552
1	1417	1453
2	5002	1360

prune359.0ms

Filtered

123 candidates to 101 candidates (82.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	123	2	125

Merged error: 0b

Counts

125 → 2

regimes56.0ms

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

sample576.0ms

Algorithm

intervals

Results

364.0ms

10087×

body

valid

Details

sample22.0ms

simplify98.0ms

prune7.0ms

localize9.0ms

rewrite20.0ms

series60.0ms

simplify32.0ms

prune98.0ms

localize8.0ms

rewrite12.0ms

series74.0ms

simplify34.0ms

prune130.0ms

localize12.0ms

rewrite32.0ms

series1.5s

simplify59.0ms

prune359.0ms

regimes56.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample576.0ms

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