Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

270×

body

valid

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

prune3.0ms

Filtered

1 candidates to 0 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: 22.1b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
0.8b	(+ (* x y) (* z (- t a)))
21.4b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

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

series415.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* z (- t a))
33.0ms	(* z (- b y))
41.0ms	(+ (* x y) (* z (- t a)))
306.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify52.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	401	714
1	1759	659
2	5001	659

prune318.0ms

Filtered

110 candidates to 74 candidates (67.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	98	12	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	12	111

Merged error: 21.4b

Counts

111 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.8b	(+ (* x y) (* z (- t a)))
1.1b	(+ (* z b) (* z (neg y)))
21.4b	(/ (+ (* x y) (* z (- t a))) (+ y (+ (* z b) (* z (neg y)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

6.0ms	(* z (- t a))
4.0ms	(+ (* x y) (* z (- t a)))
3.0ms	(+ (* z b) (* z (neg y)))
9.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (+ (* z b) (* z (neg y)))))

series416.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* z (- t a))
43.0ms	(+ (* x y) (* z (- t a)))
36.0ms	(+ (* z b) (* z (neg y)))
302.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (+ (* z b) (* z (neg y)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	408	843
1	1909	754
2	5002	746

prune231.0ms

Filtered

102 candidates to 68 candidates (66.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	102	12	114

Merged error: 21.4b

Counts

114 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.6b	(/ 1 (+ y (* z (- b y))))
0.8b	(+ (* x y) (* z (- t a)))
21.4b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite28.0ms

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

series454.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* z (- b y))
79.0ms	(/ 1 (+ y (* z (- b y))))
39.0ms	(+ (* x y) (* z (- t a)))
301.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify63.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (52.0ms)

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

prune251.0ms

Filtered

128 candidates to 76 candidates (59.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	128	12	140

Merged error: 21.4b

Counts

140 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.2b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.8b	(+ (* x y) (* z (- t a)))
21.4b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 156

Calls

4 calls:

6.0ms	(* 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))))

series1.1s

Counts

4 → 12

Calls

4 calls:

36.0ms	(* z (- b y))
769.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
43.0ms	(+ (* x y) (* z (- t a)))
262.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify76.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	576	2059
1	2790	1881
2	5001	1793

prune291.0ms

Filtered

168 candidates to 95 candidates (56.5%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	168	12	180

Merged error: 21.4b

Counts

180 → 12

regimes420.0ms

Accuracy

0% (0.7b remaining)

Error of 23.8b against oracle of 23.1b and baseline of 23.8b

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

sample736.0ms

Algorithm

intervals

Results

436.0ms

8459×

body

valid

Details

sample27.0ms

simplify114.0ms

prune3.0ms

localize14.0ms

rewrite25.0ms

series415.0ms

simplify52.0ms

prune318.0ms

localize13.0ms

rewrite25.0ms

series416.0ms

simplify62.0ms

prune231.0ms

localize15.0ms

rewrite28.0ms

series454.0ms

simplify63.0ms

prune251.0ms

localize13.0ms

rewrite31.0ms

series1.1s

simplify76.0ms

prune291.0ms

regimes420.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample736.0ms

Profiling