Details

sample47.0ms

Algorithm

intervals

Results

16.0ms	84×	body	1280	valid
9.0ms	53×	body	640	valid
3.0ms	69×	body	80	valid
3.0ms	26×	body	320	valid
3.0ms	14×	body	2560	valid
1.0ms	10×	body	160	valid

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	43	5
2	91	5
3	194	5
4	321	5
5	579	5
6	1088	5
7	1305	5
8	1305	5

prune2.0ms

Filtered

1 candidates to 0 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: 44.4b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
6.4b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
7×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `sum-log`
3×	`diff-log`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

2 → 29

Calls

2 calls:

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

series63.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (* x y) z)
42.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify60.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	178	220
1	602	204
2	2697	203
3	5001	203

prune73.0ms

Filtered

35 candidates to 24 candidates (68.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	29	6	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	7	36

Merged error: 43.8b

Counts

36 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) (* x y))
2.5b	(- (* (* x y) (* x y)) (* z z))
8.6b	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
31.2b	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
18×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
17×	`pow-prod-down`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`times-frac`
11×	`add-log-exp`
8×	`prod-exp` `cbrt-unprod`
6×	`difference-of-squares`
4×	`flip3--` `pow-sqr` `pow-prod-up` `flip--` `associate-/l*`
3×	`diff-log` `associate-/r*`
2×	`sub-neg` `pow-plus` `div-sub` `associate-/r/` `associate-/l/` `distribute-lft-out--`
1×	`cbrt-undiv` `pow2` `associate-+r-` `frac-2neg` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `sum-log` `*-commutative` `div-inv` `distribute-lft-out` `associate--r+` `associate--r-`

Counts

4 → 101

Calls

4 calls:

6.0ms	(* (* x y) (* x y))
7.0ms	(- (* (* x y) (* x y)) (* z z))
18.0ms	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
12.0ms	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

series215.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x y) (* x y))
62.0ms	(- (* (* x y) (* x y)) (* z z))
72.0ms	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
50.0ms	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

simplify63.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	427	979
1	2002	820
2	5001	784

prune269.0ms

Filtered

113 candidates to 67 candidates (59.3%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	98	15	113
Fresh	0	5	5
Picked	1	0	1
Done	1	0	1
Total	100	20	120

Merged error: 43.5b

Counts

120 → 20

localize20.0ms

Local error

Found 4 expressions with local error:

4.8b	(cbrt (- (* x y) z))
4.8b	(cbrt (- (* x y) z))
4.8b	(cbrt (- (* x y) z))
30.2b	(- (fma x y z) (+ 1.0 (* (/ (+ (* x y) z) (* (cbrt (- (* x y) z)) (cbrt (- (* x y) z)))) (/ (- (* x y) z) (cbrt (- (* x y) z))))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
3×	`pow1/3`
2×	`diff-log`
1×	`sub-neg` `sum-log` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 55

Calls

4 calls:

4.0ms	(cbrt (- (* x y) z))
4.0ms	(cbrt (- (* x y) z))
4.0ms	(cbrt (- (* x y) z))
5.0ms	(- (fma x y z) (+ 1.0 (* (/ (+ (* x y) z) (* (cbrt (- (* x y) z)) (cbrt (- (* x y) z)))) (/ (- (* x y) z) (cbrt (- (* x y) z))))))

series388.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(cbrt (- (* x y) z))
119.0ms	(cbrt (- (* x y) z))
117.0ms	(cbrt (- (* x y) z))
39.0ms	(- (fma x y z) (+ 1.0 (* (/ (+ (* x y) z) (* (cbrt (- (* x y) z)) (cbrt (- (* x y) z)))) (/ (- (* x y) z) (cbrt (- (* x y) z))))))

simplify63.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	260	845
1	717	783
2	2462	765
3	5002	762

prune301.0ms

Filtered

67 candidates to 58 candidates (86.6%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	56	11	67
Fresh	5	14	19
Picked	0	1	1
Done	0	0	0
Total	61	26	87

Merged error: 43.5b

Counts

87 → 26

localize22.0ms

Local error

Found 4 expressions with local error:

4.8b	(cbrt (- (* x y) z))
4.8b	(cbrt (- (* x y) z))
4.8b	(cbrt (- (* x y) z))
30.7b	(- (fma x y z) (+ 1.0 (* (/ (+ (* x y) z) (* (cbrt (- (* x y) z)) (cbrt (- (* x y) z)))) (/ (- (* x y) z) (* (cbrt (* (cbrt (- (* x y) z)) (cbrt (- (* x y) z)))) (cbrt (cbrt (- (* x y) z))))))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
3×	`pow1/3`
2×	`diff-log`
1×	`sub-neg` `sum-log` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 55

Calls

4 calls:

4.0ms	(cbrt (- (* x y) z))
4.0ms	(cbrt (- (* x y) z))
4.0ms	(cbrt (- (* x y) z))
5.0ms	(- (fma x y z) (+ 1.0 (* (/ (+ (* x y) z) (* (cbrt (- (* x y) z)) (cbrt (- (* x y) z)))) (/ (- (* x y) z) (* (cbrt (* (cbrt (- (* x y) z)) (cbrt (- (* x y) z)))) (cbrt (cbrt (- (* x y) z))))))))

series392.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(cbrt (- (* x y) z))
117.0ms	(cbrt (- (* x y) z))
115.0ms	(cbrt (- (* x y) z))
45.0ms	(- (fma x y z) (+ 1.0 (* (/ (+ (* x y) z) (* (cbrt (- (* x y) z)) (cbrt (- (* x y) z)))) (/ (- (* x y) z) (* (cbrt (* (cbrt (- (* x y) z)) (cbrt (- (* x y) z)))) (cbrt (cbrt (- (* x y) z))))))))

simplify82.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	264	1075
1	754	993
2	2850	975
3	5002	972

prune265.0ms

Filtered

67 candidates to 58 candidates (86.6%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	62	5	67
Fresh	1	23	24
Picked	1	0	1
Done	0	1	1
Total	64	29	93

Merged error: 43.5b

Counts

93 → 29

regimes573.0ms

Accuracy

0% (1.4b remaining)

Error of 46.2b against oracle of 44.8b and baseline of 46.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	40
1	28	40

end0.0ms

sample925.0ms

Algorithm

intervals

Results

339.0ms	2596×	body	1280	valid
169.0ms	1636×	body	640	valid
99.0ms	614×	body	2560	valid
59.0ms	780×	body	320	valid
57.0ms	2036×	body	80	valid
18.0ms	338×	body	160	valid

Details

sample47.0ms

simplify29.0ms

prune2.0ms

localize8.0ms

rewrite12.0ms

series63.0ms

simplify60.0ms

prune73.0ms

localize12.0ms

rewrite46.0ms

series215.0ms

simplify63.0ms

prune269.0ms

localize20.0ms

rewrite18.0ms

series388.0ms

simplify63.0ms

prune301.0ms

localize22.0ms

rewrite18.0ms

series392.0ms

simplify82.0ms

prune265.0ms

regimes573.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample925.0ms

Profiling