Details

analyze674.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
12.5%	85.6%	1.9%	11
19.8%	76.5%	3.7%	12
26.1%	64.4%	9.6%	13
31.7%	54.5%	13.7%	14

sample31.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
3.0ms	72×	body	80	invalid

simplify123.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	1581	9
1	1581	9

prune4.0ms

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 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y z) (- t x)))
0.0b	(* (- y z) (- t x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`pow1` `add-exp-log` `frac-times` `add-cube-cbrt` `sub-neg` `add-cbrt-cube` `add-log-exp`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 45

Calls

2 calls:

4.0ms	(+ x (* (- y z) (- t x)))
9.0ms	(* (- y z) (- t x))

series28.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ x (* (- y z) (- t x)))
13.0ms	(* (- y z) (- t x))

simplify36.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5066	573

prune63.0ms

Filtered

40 candidates to 51 candidates (-27.5%)

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (- t x) (- (* y y) (* z z))) (+ y z)))
0.9b	(- (* y y) (* z z))
7.9b	(* (- t x) (- (* y y) (* z z)))
20.4b	(/ (* (- t x) (- (* y y) (* z z))) (+ y z))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

8.0ms	(+ x (/ (* (- t x) (- (* y y) (* z z))) (+ y z)))
4.0ms	(- (* y y) (* z z))
9.0ms	(* (- t x) (- (* y y) (* z z)))
13.0ms	(/ (* (- t x) (- (* y y) (* z z))) (+ y z))

series130.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ x (/ (* (- t x) (- (* y y) (* z z))) (+ y z)))
6.0ms	(- (* y y) (* z z))
23.0ms	(* (- t x) (- (* y y) (* z z)))
38.0ms	(/ (* (- t x) (- (* y y) (* z z))) (+ y z))

simplify58.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5008	1339

prune104.0ms

Filtered

78 candidates to 100 candidates (-28.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	100	3	103

Merged error: 0.0b

Counts

103 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y z) (- t x))
0.1b	(sqrt (+ x (* (- y z) (- t x))))
0.1b	(sqrt (+ x (* (- y z) (- t x))))
0.2b	(* (sqrt (+ x (* (- y z) (- t x)))) (sqrt (+ x (* (- y z) (- t x)))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
24×	`sqrt-prod`
23×	`pow1`
20×	`*-un-lft-identity`
16×	`add-cube-cbrt` `sqrt-div`
11×	`associate-r` `associate-l`
10×	`sqrt-pow1` `pow1/2`
8×	`add-exp-log` `frac-times` `flip3-+` `swap-sqr` `add-cbrt-cube` `flip-+`
6×	`flip3--` `flip--`
5×	`pow-prod-up` `unswap-sqr`
4×	`associate-r/` `pow-prod-down` `associate-l/` `add-log-exp`
3×	`pow-sqr`
2×	`sub-neg` `rem-sqrt-square` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 119

Calls

4 calls:

9.0ms	(* (- y z) (- t x))
3.0ms	(sqrt (+ x (* (- y z) (- t x))))
2.0ms	(sqrt (+ x (* (- y z) (- t x))))
9.0ms	(* (sqrt (+ x (* (- y z) (- t x)))) (sqrt (+ x (* (- y z) (- t x)))))

series234.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (- y z) (- t x))
80.0ms	(sqrt (+ x (* (- y z) (- t x))))
119.0ms	(sqrt (+ x (* (- y z) (- t x))))
26.0ms	(* (sqrt (+ x (* (- y z) (- t x)))) (sqrt (+ x (* (- y z) (- t x)))))

simplify44.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5005	1813

prune108.0ms

Filtered

83 candidates to 131 candidates (-57.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	130	4	134

Merged error: 0b

Counts

134 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (+ x (* (- y z) (- t x))))
0.1b	(sqrt (+ x (* (- y z) (- t x))))
0.2b	(* (pow (sqrt (sqrt (+ x (* (- y z) (- t x))))) 3) (sqrt (sqrt (+ x (* (- y z) (- t x))))))
0.4b	(pow (sqrt (sqrt (+ x (* (- y z) (- t x))))) 3)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

93×	`sqrt-prod`
70×	`add-sqr-sqrt`
32×	`sqrt-div`
27×	`unpow-prod-down` `cube-prod`
24×	`associate-l` `unswap-sqr`
23×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
9×	`flip3-+` `associate-r` `flip-+`
8×	`cube-div`
7×	`add-cbrt-cube`
6×	`sqrt-pow1`
5×	`pow-pow` `sqr-pow`
4×	`frac-times` `pow1/2` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `rem-sqrt-square` `unpow3` `associate-r/` `associate-l/` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 151

Calls

4 calls:

3.0ms	(sqrt (+ x (* (- y z) (- t x))))
3.0ms	(sqrt (+ x (* (- y z) (- t x))))
16.0ms	(* (pow (sqrt (sqrt (+ x (* (- y z) (- t x))))) 3) (sqrt (sqrt (+ x (* (- y z) (- t x))))))
6.0ms	(pow (sqrt (sqrt (+ x (* (- y z) (- t x))))) 3)

series354.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(sqrt (+ x (* (- y z) (- t x))))
82.0ms	(sqrt (+ x (* (- y z) (- t x))))
15.0ms	(* (pow (sqrt (sqrt (+ x (* (- y z) (- t x))))) 3) (sqrt (sqrt (+ x (* (- y z) (- t x))))))
175.0ms	(pow (sqrt (sqrt (+ x (* (- y z) (- t x))))) 3)

simplify78.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4949	2931
1	4949	2931

prune133.0ms

Filtered

86 candidates to 163 candidates (-89.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	163	4	167

Merged error: 0b

Counts

167 → 4

regimes341.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	28	9
1	28	9

end0.0ms

sample550.0ms

Algorithm

intervals

Results

222.0ms	8000×	body	80	valid
69.0ms	2557×	body	80	invalid

Details

analyze674.0ms

sample31.0ms

simplify123.0ms

prune4.0ms

localize6.0ms

rewrite14.0ms

series28.0ms

simplify36.0ms

prune63.0ms

localize11.0ms

rewrite36.0ms

series130.0ms

simplify58.0ms

prune104.0ms

localize9.0ms

rewrite27.0ms

series234.0ms

simplify44.0ms

prune108.0ms

localize12.0ms

rewrite32.0ms

series354.0ms

simplify78.0ms

prune133.0ms

regimes341.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample550.0ms

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