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

sample27.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

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)))
0.7b	(* 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))))

series69.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ x (* a (/ (- z y) (+ t (- 1.0 z)))))
11.0ms	(/ (- z y) (+ t (- 1.0 z)))
23.0ms	(* a (/ (- z y) (+ t (- 1.0 z))))

simplify55.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4968	1564
1	4968	1564

prune145.0ms

Filtered

76 candidates to 122 candidates (-60.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	119	5	124

Merged error: 0b

Counts

124 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* a (* (- z y) (/ 1 (+ t (- 1.0 z))))))
0.2b	(* (- z y) (/ 1 (+ t (- 1.0 z))))
0.7b	(* a (* (- z y) (/ 1 (+ t (- 1.0 z)))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
27×	`add-exp-log`
23×	`add-sqr-sqrt`
22×	`associate-r`
17×	`times-frac` `add-cbrt-cube`
14×	`add-cube-cbrt`
13×	`prod-exp`
10×	`pow1`
8×	`associate-r/` `associate-l*`
7×	`cbrt-unprod`
6×	`distribute-lft-out`
5×	`add-log-exp`
4×	`frac-times` `flip3--` `div-exp` `pow-prod-down` `associate-*l/` `flip--` `distribute-lft-out--`
3×	`unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `associate-/r/` `un-div-inv` `*-commutative` `flip-+`
1×	`+-commutative` `sum-log` `div-inv` `difference-of-squares`

Counts

3 → 89

Calls

3 calls:

4.0ms	(+ x (* a (* (- z y) (/ 1 (+ t (- 1.0 z))))))
19.0ms	(* (- z y) (/ 1 (+ t (- 1.0 z))))
14.0ms	(* a (* (- z y) (/ 1 (+ t (- 1.0 z)))))

series71.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ x (* a (* (- z y) (/ 1 (+ t (- 1.0 z))))))
11.0ms	(* (- z y) (/ 1 (+ t (- 1.0 z))))
21.0ms	(* a (* (- z y) (/ 1 (+ t (- 1.0 z)))))

simplify56.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4989	1126
1	4989	1126

prune113.0ms

Filtered

65 candidates to 98 candidates (-50.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	98	5	103

Merged error: 0b

Counts

103 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (+ t (- 1.0 z)))
0.4b	(cbrt (+ t (- 1.0 z)))
0.4b	(* (cbrt (+ t (- 1.0 z))) (cbrt (+ t (- 1.0 z))))
7.2b	(* (/ a (* (cbrt (+ t (- 1.0 z))) (cbrt (+ t (- 1.0 z))))) (/ (- z y) (cbrt (+ t (- 1.0 z)))))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

130×	`*-un-lft-identity`
75×	`add-sqr-sqrt`
73×	`cbrt-prod`
54×	`associate-r`
50×	`times-frac`
35×	`add-cube-cbrt`
30×	`cbrt-div` `distribute-lft-out`
27×	`add-exp-log`
23×	`associate-l` `distribute-lft-out--`
18×	`add-cbrt-cube`
15×	`flip3-+` `flip-+`
14×	`swap-sqr`
13×	`pow1`
10×	`associate-/r/` `unswap-sqr`
9×	`frac-times` `prod-exp` `cbrt-unprod`
8×	`pow1/3` `difference-of-squares`
7×	`cbrt-undiv` `div-exp`
5×	`associate-r/` `associate-l/`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up` `div-inv`
1×	`pow2` `pow-plus`

Counts

4 → 181

Calls

4 calls:

9.0ms	(cbrt (+ t (- 1.0 z)))
9.0ms	(cbrt (+ t (- 1.0 z)))
30.0ms	(* (cbrt (+ t (- 1.0 z))) (cbrt (+ t (- 1.0 z))))
50.0ms	(* (/ a (* (cbrt (+ t (- 1.0 z))) (cbrt (+ t (- 1.0 z))))) (/ (- z y) (cbrt (+ t (- 1.0 z)))))

series89.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt (+ t (- 1.0 z)))
21.0ms	(cbrt (+ t (- 1.0 z)))
22.0ms	(* (cbrt (+ t (- 1.0 z))) (cbrt (+ t (- 1.0 z))))
29.0ms	(* (/ a (* (cbrt (+ t (- 1.0 z))) (cbrt (+ t (- 1.0 z))))) (/ (- z y) (cbrt (+ t (- 1.0 z)))))

simplify76.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4963	3272
1	4963	3272

prune373.0ms

Filtered

126 candidates to 193 candidates (-53.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	193	0	193
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	193	5	198

Merged error: 0b

Counts

198 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (/ a (sqrt (+ t (- 1.0 z)))) (/ (- z y) (sqrt (+ t (- 1.0 z))))))
0.1b	(/ a (sqrt (+ t (- 1.0 z))))
0.2b	(/ (- z y) (sqrt (+ t (- 1.0 z))))
2.5b	(* (/ a (sqrt (+ t (- 1.0 z)))) (/ (- z y) (sqrt (+ t (- 1.0 z)))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

200×	`*-un-lft-identity`
140×	`add-sqr-sqrt` `times-frac`
96×	`sqrt-prod`
76×	`add-cube-cbrt`
46×	`associate-r`
36×	`distribute-lft-out`
35×	`distribute-lft-out--`
30×	`associate-l`
20×	`add-exp-log` `add-cbrt-cube`
17×	`difference-of-squares`
16×	`associate-/r*`
9×	`unswap-sqr`
8×	`sqrt-div` `associate-/r/` `associate-/l*`
6×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`prod-exp` `cbrt-unprod` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `frac-times` `flip3--` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `sum-log` `*-commutative` `flip--`

Counts

4 → 235

Calls

4 calls:

3.0ms	(+ x (* (/ a (sqrt (+ t (- 1.0 z)))) (/ (- z y) (sqrt (+ t (- 1.0 z))))))
8.0ms	(/ a (sqrt (+ t (- 1.0 z))))
10.0ms	(/ (- z y) (sqrt (+ t (- 1.0 z))))
41.0ms	(* (/ a (sqrt (+ t (- 1.0 z)))) (/ (- z y) (sqrt (+ t (- 1.0 z)))))

series120.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ x (* (/ a (sqrt (+ t (- 1.0 z)))) (/ (- z y) (sqrt (+ t (- 1.0 z))))))
17.0ms	(/ a (sqrt (+ t (- 1.0 z))))
25.0ms	(/ (- z y) (sqrt (+ t (- 1.0 z))))
33.0ms	(* (/ a (sqrt (+ t (- 1.0 z)))) (/ (- z y) (sqrt (+ t (- 1.0 z)))))

simplify71.0ms

Algorithm

egg-herbie

Counts

247 → 247

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5279	4230

prune322.0ms

Filtered

140 candidates to 247 candidates (-76.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	247	0	247
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	247	5	252

Merged error: 0b

Counts

252 → 5

regimes377.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	13
1	33	13

end0.0ms

sample612.0ms

Algorithm

intervals

Results

338.0ms	8000×	body	80	valid
18.0ms	447×	body	80	invalid

Details

analyze1.0s

sample27.0ms

simplify48.0ms

prune12.0ms

localize9.0ms

rewrite32.0ms

series69.0ms

simplify55.0ms

prune145.0ms

localize10.0ms

rewrite41.0ms

series71.0ms

simplify56.0ms

prune113.0ms

localize13.0ms

rewrite116.0ms

series89.0ms

simplify76.0ms

prune373.0ms

localize11.0ms

rewrite75.0ms

series120.0ms

simplify71.0ms

prune322.0ms

regimes377.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample612.0ms

Profiling