Details

analyze1.1s

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

sample29.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
1.0ms	14×	body	80	invalid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4943	13
1	4943	13

prune12.0ms

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)))
1.1b	(* a (/ (- z y) (+ t (- 1.0 z))))

rewrite32.0ms

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:

3.0ms	(+ x (* a (/ (- z y) (+ t (- 1.0 z)))))
9.0ms	(/ (- z y) (+ t (- 1.0 z)))
15.0ms	(* a (/ (- z y) (+ t (- 1.0 z))))

series64.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ x (* a (/ (- z y) (+ t (- 1.0 z)))))
10.0ms	(/ (- z y) (+ t (- 1.0 z)))
22.0ms	(* a (/ (- z y) (+ t (- 1.0 z))))

simplify55.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4968	1564
1	4968	1564

prune137.0ms

Filtered

76 candidates to 122 candidates (-60.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	119	5	124

Merged error: 0b

Counts

124 → 5

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)
9.6b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite63.0ms

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:

30.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
10.0ms	(/ (+ (- t z) 1.0) a)
13.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series67.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
7.0ms	(/ (+ (- t z) 1.0) a)
30.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify56.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5358	3545

prune181.0ms

Filtered

121 candidates to 200 candidates (-65.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	200	5	205

Merged error: 0b

Counts

205 → 5

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)) (cbrt (- z y)))
8.1b	(* (* a (* (cbrt (- z y)) (cbrt (- z y)))) (/ (cbrt (- z y)) (+ t (- 1.0 z))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
63×	`cbrt-prod` `add-sqr-sqrt`
54×	`associate-r`
40×	`cbrt-div` `times-frac`
33×	`add-cube-cbrt`
27×	`add-exp-log`
23×	`associate-*r/`
21×	`distribute-lft-out--`
20×	`pow1` `frac-times` `flip3--` `flip--`
18×	`add-cbrt-cube`
16×	`distribute-lft-out`
14×	`associate-*l/`
13×	`prod-exp` `cbrt-unprod`
11×	`difference-of-squares`
10×	`swap-sqr`
9×	`associate-l`
8×	`pow1/3` `pow-prod-down`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `flip3-+` `pow-plus` `flip-+` `div-inv`

Counts

4 → 173

Calls

4 calls:

3.0ms	(cbrt (- z y))
3.0ms	(cbrt (- z y))
10.0ms	(* (cbrt (- z y)) (cbrt (- z y)))
26.0ms	(* (* a (* (cbrt (- z y)) (cbrt (- z y)))) (/ (cbrt (- z y)) (+ t (- 1.0 z))))

series106.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt (- z y))
27.0ms	(cbrt (- z y))
30.0ms	(* (cbrt (- z y)) (cbrt (- z y)))
19.0ms	(* (* a (* (cbrt (- z y)) (cbrt (- z y)))) (/ (cbrt (- z y)) (+ t (- 1.0 z))))

simplify79.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4968	2539
1	4968	2539

prune173.0ms

Filtered

107 candidates to 185 candidates (-72.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	185	5	190

Merged error: 0b

Counts

190 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* a (- z y)) (+ t (- 1.0 z))))
0.0b	(* a (- z y))
10.6b	(/ (* a (- z y)) (+ t (- 1.0 z)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

9.0ms	(+ x (/ (* a (- z y)) (+ t (- 1.0 z))))
6.0ms	(* a (- z y))
13.0ms	(/ (* a (- z y)) (+ t (- 1.0 z)))

series57.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ x (/ (* a (- z y)) (+ t (- 1.0 z))))
7.0ms	(* a (- z y))
19.0ms	(/ (* a (- z y)) (+ t (- 1.0 z)))

simplify41.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5783	799

prune70.0ms

Filtered

51 candidates to 74 candidates (-45.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	74	5	79

Merged error: 0b

Counts

79 → 5

regimes489.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	13
1	33	13

end0.0ms

sample635.0ms

Algorithm

intervals

Results

336.0ms	8000×	body	80	valid
20.0ms	497×	body	80	invalid

Details

analyze1.1s

sample29.0ms

simplify47.0ms

prune12.0ms

localize9.0ms

rewrite32.0ms

series64.0ms

simplify55.0ms

prune137.0ms

localize9.0ms

rewrite63.0ms

series67.0ms

simplify56.0ms

prune181.0ms

localize13.0ms

rewrite53.0ms

series106.0ms

simplify79.0ms

prune173.0ms

localize9.0ms

rewrite29.0ms

series57.0ms

simplify41.0ms

prune70.0ms

regimes489.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample635.0ms

Profiling