Details

analyze1.3s

Algorithm: search

sample27.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
1.0ms	19×	body	80	invalid

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

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: 21.1b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.0b	(+ y (* z (- b y)))
2.4b	(+ (* x y) (* z (- t a)))
20.3b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite22.0ms

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:

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

series119.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- b y))
7.0ms	(+ y (* z (- b y)))
15.0ms	(+ (* x y) (* z (- t a)))
91.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify45.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (9.0ms)

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

prune168.0ms

Filtered

69 candidates to 99 candidates (-43.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	85	14	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	14	100

Merged error: 20.5b

Counts

100 → 14

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* b z))
2.0b	(+ (+ y (* b z)) (* z (neg y)))
2.4b	(+ (* x y) (* z (- t a)))
20.3b	(/ (+ (* x y) (* z (- t a))) (+ (+ y (* b z)) (* z (neg y))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
5×	`flip3-+` `sum-log` `flip-+`
4×	`pow1` `associate-+r+`
3×	`+-commutative` `associate-/r` `associate-/l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-/r/` `distribute-rgt-neg-out` `associate-/l/`
1×	`cbrt-undiv` `associate-+l+` `frac-2neg` `div-exp` `unsub-neg` `clear-num` `div-inv`

Counts

4 → 72

Calls

4 calls:

2.0ms	(+ y (* b z))
5.0ms	(+ (+ y (* b z)) (* z (neg y)))
4.0ms	(+ (* x y) (* z (- t a)))
9.0ms	(/ (+ (* x y) (* z (- t a))) (+ (+ y (* b z)) (* z (neg y))))

series117.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ y (* b z))
9.0ms	(+ (+ y (* b z)) (* z (neg y)))
13.0ms	(+ (* x y) (* z (- t a)))
89.0ms	(/ (+ (* x y) (* z (- t a))) (+ (+ y (* b z)) (* z (neg y))))

simplify44.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	352	794
1	1499	712
2	5001	707

prune131.0ms

Filtered

65 candidates to 84 candidates (-29.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	84	14	98

Merged error: 20.5b

Counts

98 → 14

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.2b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
2.4b	(+ (* x y) (* z (- t a)))
20.4b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite27.0ms

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

series274.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ y (* z (- b y)))
187.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
13.0ms	(+ (* x y) (* z (- t a)))
66.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify67.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (48.0ms)

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

prune164.0ms

Filtered

88 candidates to 157 candidates (-78.4%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	1	11	12
Picked	0	1	1
Done	0	1	1
Total	157	14	171

Merged error: 20.5b

Counts

171 → 14

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.5b	(/ 1 (+ y (* z (- b y))))
2.4b	(+ (* x y) (* z (- t a)))
20.1b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube`
8×	`associate-+r+` `add-log-exp`
7×	`pow1`
6×	`flip3-+` `flip-+`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/`
3×	`associate-l` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `+-commutative` `frac-times` `rec-exp` `1-exp` `associate-*l/` `sum-log` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 105

Calls

4 calls:

4.0ms	(+ y (* z (- b y)))
4.0ms	(/ 1 (+ y (* z (- b y))))
4.0ms	(+ (* x y) (* z (- t a)))
10.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series129.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ y (* z (- b y)))
16.0ms	(/ 1 (+ y (* z (- b y))))
13.0ms	(+ (* x y) (* z (- t a)))
92.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify55.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	400	949
1	1818	836
2	5001	810

prune90.0ms

Filtered

72 candidates to 117 candidates (-62.5%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	10	11
Picked	0	1	1
Done	0	2	2
Total	117	14	131

Merged error: 20.5b

Counts

131 → 14

regimes1.1s

Accuracy

0% (0.7b remaining)

Error of 23.7b against oracle of 23.0b and baseline of 23.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	10
1	29	10
2	30	10
3	30	10

end0.0ms

analyze1.3s

Algorithm: search

sample723.0ms

Algorithm

intervals

Results

412.0ms	8000×	body	80	valid
27.0ms	428×	body	80	invalid

Details

analyze1.3s

sample27.0ms

simplify118.0ms

prune5.0ms

localize12.0ms

rewrite22.0ms

series119.0ms

simplify45.0ms

prune168.0ms

localize13.0ms

rewrite21.0ms

series117.0ms

simplify44.0ms

prune131.0ms

localize13.0ms

rewrite27.0ms

series274.0ms

simplify67.0ms

prune164.0ms

localize16.0ms

rewrite26.0ms

series129.0ms

simplify55.0ms

prune90.0ms

regimes1.1s

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze1.3s

sample723.0ms

Profiling