Details

analyze1.3s

Algorithm: search

sample32.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	8
1	37	8
2	65	8
3	94	8
4	108	8
5	132	8
6	201	8
7	359	8
8	825	8
9	3212	8
10	5002	8

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: 23.2b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.0b	(* z (- b y))
1.2b	(+ (* x y) (* z (- t a)))
22.3b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

3.0ms	(+ y (* z (- b y)))
6.0ms	(* z (- b y))
4.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series115.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ y (* z (- b y)))
7.0ms	(* z (- b y))
13.0ms	(+ (* x y) (* z (- t a)))
89.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify47.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	353	708
1	1481	648
2	5001	648

prune148.0ms

Filtered

69 candidates to 99 candidates (-43.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	89	10	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	10	100

Merged error: 22.5b

Counts

100 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.4b	(/ 1 (+ y (* z (- b y))))
1.2b	(+ (* x y) (* z (- t a)))
22.1b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

6.0ms	(* z (- b y))
4.0ms	(/ 1 (+ y (* z (- b y))))
4.0ms	(+ (* x y) (* z (- t a)))
12.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series121.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- b y))
16.0ms	(/ 1 (+ y (* z (- b y))))
13.0ms	(+ (* x y) (* z (- t a)))
86.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	449	955
1	2234	847
2	5001	821

prune137.0ms

Filtered

76 candidates to 128 candidates (-68.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	128	10	138

Merged error: 22.5b

Counts

138 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.5b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
1.2b	(+ (* x y) (* z (- t a)))
22.0b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube`
8×	`associate-+r+` `flip3-+` `div-exp` `flip-+` `add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`+-commutative` `rec-exp` `frac-2neg` `1-exp` `clear-num` `sum-log` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 145

Calls

4 calls:

3.0ms	(+ y (* z (- b y)))
8.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
4.0ms	(+ (* x y) (* z (- t a)))
6.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series235.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ y (* z (- b y)))
151.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
13.0ms	(+ (* x y) (* z (- t a)))
63.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify64.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	525	2046
1	2373	1868
2	5002	1780

prune141.0ms

Filtered

88 candidates to 157 candidates (-78.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	155	2	157
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	155	12	167

Merged error: 22.5b

Counts

167 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

8.1b	(/ (* (cbrt (+ (* x y) (* z (- t a)))) (cbrt (+ (* x y) (* z (- t a))))) (/ (+ y (* z (- b y))) (cbrt (+ (* x y) (* z (- t a))))))
19.3b	(cbrt (+ (* x y) (* z (- t a))))
19.3b	(cbrt (+ (* x y) (* z (- t a))))
19.3b	(cbrt (+ (* x y) (* z (- t a))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`cbrt-prod`
24×	`associate-/r*`
22×	`cbrt-div`
16×	`add-exp-log`
11×	`flip3-+` `flip-+`
10×	`add-cbrt-cube`
8×	`associate-/l/`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
4×	`pow1` `frac-times` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`associate-r/` `associate-l/` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 115

Calls

4 calls:

16.0ms	(/ (* (cbrt (+ (* x y) (* z (- t a)))) (cbrt (+ (* x y) (* z (- t a))))) (/ (+ y (* z (- b y))) (cbrt (+ (* x y) (* z (- t a))))))
5.0ms	(cbrt (+ (* x y) (* z (- t a))))
3.0ms	(cbrt (+ (* x y) (* z (- t a))))
3.0ms	(cbrt (+ (* x y) (* z (- t a))))

series293.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(/ (* (cbrt (+ (* x y) (* z (- t a)))) (cbrt (+ (* x y) (* z (- t a))))) (/ (+ y (* z (- b y))) (cbrt (+ (* x y) (* z (- t a))))))
83.0ms	(cbrt (+ (* x y) (* z (- t a))))
75.0ms	(cbrt (+ (* x y) (* z (- t a))))
50.0ms	(cbrt (+ (* x y) (* z (- t a))))

simplify68.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	571	2609
1	2411	2433
2	5001	2323

prune130.0ms

Filtered

109 candidates to 127 candidates (-16.5%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	127	12	139

Merged error: 22.5b

Counts

139 → 12

regimes1.0s

Accuracy

0% (0.7b remaining)

Error of 23.2b against oracle of 22.5b and baseline of 23.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	9
1	24	9

end0.0ms

analyze1.4s

Algorithm: search

sample704.0ms

Algorithm

intervals

Results

408.0ms	8000×	body	80	valid
22.0ms	456×	body	80	invalid

Details

analyze1.3s

sample32.0ms

simplify114.0ms

prune4.0ms

localize12.0ms

rewrite23.0ms

series115.0ms

simplify47.0ms

prune148.0ms

localize13.0ms

rewrite29.0ms

series121.0ms

simplify58.0ms

prune137.0ms

localize13.0ms

rewrite26.0ms

series235.0ms

simplify64.0ms

prune141.0ms

localize16.0ms

rewrite31.0ms

series293.0ms

simplify68.0ms

prune130.0ms

regimes1.0s

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.4s

sample704.0ms

Profiling