Details

analyze1.7s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.2%	98.5%	0.3%	13
1.8%	97.9%	0.3%	14

sample47.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
7.0ms	138×	body	80	invalid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	982	17
1	982	17

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- c (* a (/ b 4.0)))
0.0b	(+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))
0.0b	(+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
7×	`sum-log`
3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `*-un-lft-identity` `diff-log` `add-cbrt-cube`
2×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `flip3-+` `associate-*r/` `frac-add` `flip--` `flip-+`

Counts

3 → 42

Calls

3 calls:

3.0ms	(- c (* a (/ b 4.0)))
9.0ms	(+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))
7.0ms	(+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))

series77.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(- c (* a (/ b 4.0)))
49.0ms	(+ (* x y) (+ (* z (/ t 16.0)) (- c (* a (/ b 4.0)))))
20.0ms	(+ (* z (/ t 16.0)) (- c (* a (/ b 4.0))))

simplify35.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4982	875
1	4982	875

prune82.0ms

Filtered

42 candidates to 51 candidates (-21.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Merged error: 0.0b

Counts

52 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* z (/ t 16.0)) (+ (* x y) (- c (* a (/ b 4.0)))))) (cbrt (+ (* z (/ t 16.0)) (+ (* x y) (- c (* a (/ b 4.0)))))))
0.6b	(cbrt (+ (* z (/ t 16.0)) (+ (* x y) (- c (* a (/ b 4.0))))))
0.6b	(cbrt (+ (* z (/ t 16.0)) (+ (* x y) (- c (* a (/ b 4.0))))))
0.6b	(cbrt (+ (* z (/ t 16.0)) (+ (* x y) (- c (* a (/ b 4.0))))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-div`
30×	`associate-*r/`
26×	`flip3-+` `frac-add` `flip-+`
25×	`cbrt-prod`
23×	`add-sqr-sqrt`
16×	`frac-times`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`associate-*l/` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

22.0ms	(* (cbrt (+ (* z (/ t 16.0)) (+ (* x y) (- c (* a (/ b 4.0)))))) (cbrt (+ (* z (/ t 16.0)) (+ (* x y) (- c (* a (/ b 4.0)))))))
9.0ms	(cbrt (+ (* z (/ t 16.0)) (+ (* x y) (- c (* a (/ b 4.0))))))
9.0ms	(cbrt (+ (* z (/ t 16.0)) (+ (* x y) (- c (* a (/ b 4.0))))))
9.0ms	(cbrt (+ (* z (/ t 16.0)) (+ (* x y) (- c (* a (/ b 4.0))))))

series296.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (cbrt (+ (* z (/ t 16.0)) (+ (* x y) (- c (* a (/ b 4.0)))))) (cbrt (+ (* z (/ t 16.0)) (+ (* x y) (- c (* a (/ b 4.0)))))))
58.0ms	(cbrt (+ (* z (/ t 16.0)) (+ (* x y) (- c (* a (/ b 4.0))))))
60.0ms	(cbrt (+ (* z (/ t 16.0)) (+ (* x y) (- c (* a (/ b 4.0))))))
61.0ms	(cbrt (+ (* z (/ t 16.0)) (+ (* x y) (- c (* a (/ b 4.0))))))

simplify45.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5064	5300

prune390.0ms

Filtered

95 candidates to 121 candidates (-27.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	119	5	124

Merged error: 0.0b

Counts

124 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

2.0b	(- (* c c) (* a (* a (* (/ b 4.0) (/ b 4.0)))))
4.0b	(* a (* a (* (/ b 4.0) (/ b 4.0))))
9.4b	(* a (* (/ b 4.0) (/ b 4.0)))
27.4b	(/ (- (* c c) (* a (* a (* (/ b 4.0) (/ b 4.0))))) (+ c (* a (/ b 4.0))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
24×	`prod-exp` `cbrt-unprod`
18×	`pow1`
15×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`associate-*r/`
9×	`cbrt-undiv` `times-frac` `div-exp` `pow-prod-down`
6×	`associate-l` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`frac-times` `flip3--` `associate-r` `associate-l/` `associate-/r/` `-commutative` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `clear-num` `flip-+` `div-inv` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

4.0ms	(- (* c c) (* a (* a (* (/ b 4.0) (/ b 4.0)))))
11.0ms	(* a (* a (* (/ b 4.0) (/ b 4.0))))
8.0ms	(* a (* (/ b 4.0) (/ b 4.0)))
8.0ms	(/ (- (* c c) (* a (* a (* (/ b 4.0) (/ b 4.0))))) (+ c (* a (/ b 4.0))))

series58.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (* c c) (* a (* a (* (/ b 4.0) (/ b 4.0)))))
7.0ms	(* a (* a (* (/ b 4.0) (/ b 4.0))))
7.0ms	(* a (* (/ b 4.0) (/ b 4.0)))
21.0ms	(/ (- (* c c) (* a (* a (* (/ b 4.0) (/ b 4.0))))) (+ c (* a (/ b 4.0))))

simplify29.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5174	1677

prune149.0ms

Filtered

69 candidates to 113 candidates (-63.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	114	4	118

Merged error: 0.0b

Counts

118 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ c (+ c (* a (/ b 4.0))))
0.1b	(/ a (+ c (* a (/ b 4.0))))
9.4b	(* a (* (/ b 4.0) (/ b 4.0)))
13.7b	(* (/ a (+ c (* a (/ b 4.0)))) (* a (* (/ b 4.0) (/ b 4.0))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-exp-log` `add-cbrt-cube`
39×	`prod-exp` `cbrt-unprod`
29×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
20×	`cbrt-undiv` `div-exp`
18×	`pow1` `associate-l`
15×	`associate-*r/`
9×	`pow-prod-down`
6×	`frac-times` `associate-/r` `associate-/r/` `associate-/l`
4×	`associate-*l/` `add-log-exp`
3×	`flip3-+` `flip-+` `div-inv`
2×	`frac-2neg` `associate-r` `clear-num` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 144

Calls

4 calls:

4.0ms	(/ c (+ c (* a (/ b 4.0))))
4.0ms	(/ a (+ c (* a (/ b 4.0))))
8.0ms	(* a (* (/ b 4.0) (/ b 4.0)))
15.0ms	(* (/ a (+ c (* a (/ b 4.0)))) (* a (* (/ b 4.0) (/ b 4.0))))

series54.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(/ c (+ c (* a (/ b 4.0))))
13.0ms	(/ a (+ c (* a (/ b 4.0))))
7.0ms	(* a (* (/ b 4.0) (/ b 4.0)))
21.0ms	(* (/ a (+ c (* a (/ b 4.0)))) (* a (* (/ b 4.0) (/ b 4.0))))

simplify61.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4993	2218
1	4993	2218

prune211.0ms

Filtered

96 candidates to 156 candidates (-62.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	155	5	160

Merged error: 0.0b

Counts

160 → 5

regimes743.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	17
1	55	17

end0.0ms

sample1.2s

Algorithm

intervals

Results

446.0ms	8000×	body	80	valid
244.0ms	4038×	body	80	invalid

Details

analyze1.7s

sample47.0ms

simplify57.0ms

prune12.0ms

localize19.0ms

rewrite20.0ms

series77.0ms

simplify35.0ms

prune82.0ms

localize20.0ms

rewrite54.0ms

series296.0ms

simplify45.0ms

prune390.0ms

localize22.0ms

rewrite35.0ms

series58.0ms

simplify29.0ms

prune149.0ms

localize21.0ms

rewrite41.0ms

series54.0ms

simplify61.0ms

prune211.0ms

regimes743.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling