Details

analyze1.0s

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
0%	99.8%	0.2%	9
0.4%	99.4%	0.2%	10
5.6%	94.2%	0.2%	11
7.1%	92.7%	0.2%	12
8.8%	91%	0.2%	13
15.6%	84.2%	0.2%	14

sample26.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
1.0ms	19×	body	80	invalid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4999	13
1	4999	13

prune14.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* a (/ (- z y) (+ t (- 1.0 z)))))
0.0b	(/ (- z y) (+ t (- 1.0 z)))
1.2b	(* a (/ (- z y) (+ t (- 1.0 z))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out` `distribute-lft-out--`
11×	`difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3-+` `associate-l` `flip-+`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--`

Counts

3 → 113

Calls

3 calls:

5.0ms	(+ x (* a (/ (- z y) (+ t (- 1.0 z)))))
10.0ms	(/ (- z y) (+ t (- 1.0 z)))
21.0ms	(* a (/ (- z y) (+ t (- 1.0 z))))

series63.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ x (* a (/ (- z y) (+ t (- 1.0 z)))))
10.0ms	(/ (- z y) (+ t (- 1.0 z)))
19.0ms	(* a (/ (- z y) (+ t (- 1.0 z))))

simplify32.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4991	1564
1	4991	1564

prune164.0ms

Filtered

76 candidates to 122 candidates (-60.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	118	6	124

Merged error: 0b

Counts

124 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z y))
0.5b	(cbrt (- z y))
0.5b	(cbrt (- z y))
1.2b	(* a (/ (* (cbrt (- z y)) (cbrt (- z y))) (/ (+ t (- 1.0 z)) (cbrt (- z y)))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

91×	`times-frac`
84×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`associate-r`
41×	`cbrt-prod`
28×	`add-cube-cbrt`
22×	`add-exp-log`
16×	`add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
8×	`cbrt-div` `difference-of-squares`
7×	`prod-exp` `cbrt-unprod`
6×	`pow1` `cbrt-undiv` `div-exp`
4×	`flip3--` `flip--` `add-log-exp` `unswap-sqr`
3×	`pow1/3` `associate-l` `associate-/r/`
2×	`div-inv`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 123

Calls

4 calls:

3.0ms	(cbrt (- z y))
5.0ms	(cbrt (- z y))
3.0ms	(cbrt (- z y))
30.0ms	(* a (/ (* (cbrt (- z y)) (cbrt (- z y))) (/ (+ t (- 1.0 z)) (cbrt (- z y)))))

series97.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt (- z y))
25.0ms	(cbrt (- z y))
25.0ms	(cbrt (- z y))
19.0ms	(* a (/ (* (cbrt (- z y)) (cbrt (- z y))) (/ (+ t (- 1.0 z)) (cbrt (- z y)))))

simplify53.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5146	1698

prune221.0ms

Filtered

94 candidates to 135 candidates (-43.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	135	6	141

Merged error: 0b

Counts

141 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b	(/ (+ (- t z) 1.0) a)
9.4b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

239×	`*-un-lft-identity`
203×	`times-frac`
136×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
44×	`distribute-lft-out`
43×	`distribute-lft-out--`
23×	`difference-of-squares`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `associate-/r/` `flip-+` `associate--r-`

Counts

3 → 191

Calls

3 calls:

31.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
8.0ms	(/ (+ (- t z) 1.0) a)
15.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series73.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
7.0ms	(/ (+ (- t z) 1.0) a)
31.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify81.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5008	3555

prune216.0ms

Filtered

121 candidates to 200 candidates (-65.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	200	6	206

Merged error: 0b

Counts

206 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z y))
0.5b	(cbrt (- z y))
0.5b	(cbrt (- z y))
6.5b	(* (* a (* (cbrt (- z y)) (cbrt (- z y)))) (/ (cbrt (- z y)) (+ t (- 1.0 z))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
46×	`associate-r`
42×	`add-sqr-sqrt`
40×	`cbrt-prod` `times-frac`
30×	`cbrt-div`
26×	`add-cube-cbrt`
25×	`add-exp-log`
21×	`associate-*r/`
18×	`add-cbrt-cube`
16×	`frac-times` `distribute-lft-out` `distribute-lft-out--`
15×	`flip3--` `flip--`
13×	`pow1`
12×	`associate-*l/` `prod-exp` `cbrt-unprod`
8×	`difference-of-squares`
6×	`pow-prod-down`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`associate-/r/`
1×	`flip3-+` `associate-l` `*-commutative` `flip-+` `div-inv`

Counts

4 → 132

Calls

4 calls:

3.0ms	(cbrt (- z y))
3.0ms	(cbrt (- z y))
3.0ms	(cbrt (- z y))
27.0ms	(* (* a (* (cbrt (- z y)) (cbrt (- z y)))) (/ (cbrt (- z y)) (+ t (- 1.0 z))))

series97.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- z y))
25.0ms	(cbrt (- z y))
25.0ms	(cbrt (- z y))
22.0ms	(* (* a (* (cbrt (- z y)) (cbrt (- z y)))) (/ (cbrt (- z y)) (+ t (- 1.0 z))))

simplify56.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4916	2247
1	4916	2247

prune170.0ms

Filtered

92 candidates to 144 candidates (-56.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	144	6	150

Merged error: 0b

Counts

150 → 6

regimes537.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	72	13
1	72	13

end0.0ms

sample692.0ms

Algorithm

intervals

Results

365.0ms	7997×	body	80	valid
21.0ms	477×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Details

analyze1.0s

sample26.0ms

simplify40.0ms

prune14.0ms

localize9.0ms

rewrite42.0ms

series63.0ms

simplify32.0ms

prune164.0ms

localize13.0ms

rewrite46.0ms

series97.0ms

simplify53.0ms

prune221.0ms

localize9.0ms

rewrite65.0ms

series73.0ms

simplify81.0ms

prune216.0ms

localize13.0ms

rewrite43.0ms

series97.0ms

simplify56.0ms

prune170.0ms

regimes537.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample692.0ms

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