Details

analyze664.0ms

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

sample22.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
3.0ms	109×	body	80	invalid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	1581	9
1	1581	9

prune3.0ms

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:

18.0ms	(+ x (* (- y z) (- t x)))
9.0ms	(* (- y z) (- t x))

simplify34.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5066	573

prune63.0ms

Filtered

40 candidates to 51 candidates (-27.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	3	52

Merged error: 0b

Counts

52 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

6.0ms	(* (- y z) t)
8.0ms	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
8.0ms	(* (- y z) (neg x))
8.0ms	(+ (* (- y z) t) (* (- y z) (neg x)))

series43.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (- y z) t)
15.0ms	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
9.0ms	(* (- y z) (neg x))
13.0ms	(+ (* (- y z) t) (* (- y z) (neg x)))

simplify40.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5213	889

prune92.0ms

Filtered

75 candidates to 96 candidates (-28.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	96	3	99

Merged error: 0b

Counts

99 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- y z) (- t x))) (cbrt (* (- y z) (- t x))))
0.8b	(cbrt (* (- y z) (- t x)))
0.8b	(cbrt (* (- y z) (- t x)))
0.8b	(cbrt (* (- y z) (- t x)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

168×	`cbrt-div`
148×	`frac-times`
126×	`flip3--` `flip--`
50×	`associate-r/` `associate-l/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 162

Calls

4 calls:

10.0ms	(* (cbrt (* (- y z) (- t x))) (cbrt (* (- y z) (- t x))))
7.0ms	(cbrt (* (- y z) (- t x)))
7.0ms	(cbrt (* (- y z) (- t x)))
7.0ms	(cbrt (* (- y z) (- t x)))

series477.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(* (cbrt (* (- y z) (- t x))) (cbrt (* (- y z) (- t x))))
79.0ms	(cbrt (* (- y z) (- t x)))
79.0ms	(cbrt (* (- y z) (- t x)))
81.0ms	(cbrt (* (- y z) (- t x)))

simplify80.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4923	4931
1	4923	4931

prune202.0ms

Filtered

124 candidates to 174 candidates (-40.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	174	3	177

Merged error: 0b

Counts

177 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (* x x) (* t x))
2.3b	(- (pow t 3) (pow x 3))
3.9b	(* (- y z) (- (pow t 3) (pow x 3)))
33.5b	(/ (* (- y z) (- (pow t 3) (pow x 3))) (+ (* t t) (+ (* x x) (* t x))))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

4.0ms	(+ (* x x) (* t x))
12.0ms	(- (pow t 3) (pow x 3))
20.0ms	(* (- y z) (- (pow t 3) (pow x 3)))
25.0ms	(/ (* (- y z) (- (pow t 3) (pow x 3))) (+ (* t t) (+ (* x x) (* t x))))

series118.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (* x x) (* t x))
9.0ms	(- (pow t 3) (pow x 3))
34.0ms	(* (- y z) (- (pow t 3) (pow x 3)))
70.0ms	(/ (* (- y z) (- (pow t 3) (pow x 3))) (+ (* t t) (+ (* x x) (* t x))))

simplify79.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4961	2037
1	4961	2037

prune193.0ms

Filtered

92 candidates to 140 candidates (-52.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	140	3	143

Merged error: 0b

Counts

143 → 3

regimes255.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	229	13
1	229	13

end0.0ms

sample533.0ms

Algorithm

intervals

Results

215.0ms	8000×	body	80	valid
68.0ms	2570×	body	80	invalid

Details

analyze664.0ms

sample22.0ms

simplify79.0ms

prune3.0ms

localize6.0ms

rewrite14.0ms

series28.0ms

simplify34.0ms

prune63.0ms

localize8.0ms

rewrite32.0ms

series43.0ms

simplify40.0ms

prune92.0ms

localize11.0ms

rewrite43.0ms

series477.0ms

simplify80.0ms

prune202.0ms

localize16.0ms

rewrite67.0ms

series118.0ms

simplify79.0ms

prune193.0ms

regimes255.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample533.0ms

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