Details

sample27.0ms

Algorithm

intervals

Results

9.0ms

265×

body

valid

simplify124.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	8
1	43	8
2	75	8
3	120	8
4	156	8
5	189	8
6	265	8
7	451	8
8	1023	8
9	3632	8
10	5001	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.0b

localize16.0ms

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)))
20.4b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
54×	`prod-diff`
52×	`add-cube-cbrt`
33×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate-+r+`
10×	`add-exp-log` `associate-r` `add-cbrt-cube`
9×	`times-frac`
8×	`pow1`
6×	`sub-neg` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
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` `fma-def` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 161

Calls

4 calls:

22.0ms	(* z (- t a))
25.0ms	(* z (- b y))
13.0ms	(+ (* x y) (* z (- t a)))
32.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series390.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* z (- t a))
30.0ms	(* z (- b y))
36.0ms	(+ (* x y) (* z (- t a)))
292.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify73.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	623	1398
1	2536	1029
2	5002	1026

prune401.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 20.4b

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)))))
0.8b	(+ (* x y) (* z (- t a)))
20.3b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
81×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
44×	`associate-+r+`
36×	`prod-diff`
22×	`distribute-rgt-in` `distribute-lft-in`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube`
8×	`flip3-+` `div-exp` `flip-+` `add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `fma-def` `log1p-expm1-u`
2×	`+-commutative` `rec-exp` `frac-2neg` `1-exp` `clear-num` `sum-log` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 193

Calls

4 calls:

10.0ms	(+ y (* z (- b y)))
24.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
12.0ms	(+ (* x y) (* z (- t a)))
30.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.0s

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ y (* z (- b y)))
728.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
38.0ms	(+ (* x y) (* z (- t a)))
246.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify82.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	760	2364
1	3018	1989
2	5002	1882

prune548.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 20.4b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
34×	`add-cube-cbrt`
20×	`times-frac`
19×	`add-exp-log`
18×	`prod-diff`
16×	`associate-l`
13×	`add-cbrt-cube`
12×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
8×	`associate-r`
5×	`prod-exp`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-/r` `cbrt-unprod` `fma-udef` `associate-/l`
2×	`cbrt-undiv` `sub-neg` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `-commutative` `div-inv`
1×	`flip3--` `pow-flip` `frac-2neg` `associate-*l/` `clear-num` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 128

Calls

4 calls:

23.0ms	(* z (- t a))
1.0ms	(fma x y (* z (- t a)))
9.0ms	(/ 1 (fma (- b y) z y))
16.0ms	(* (/ 1 (fma (- b y) z y)) (fma x y (* z (- t a))))

series1.2s

Counts

4 → 12

Calls

4 calls:

36.0ms	(* z (- t a))
42.0ms	(fma x y (* z (- t a)))
83.0ms	(/ 1 (fma (- b y) z y))
1.0s	(* (/ 1 (fma (- b y) z y)) (fma x y (* z (- t a))))

simplify53.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	413	990
1	1644	767
2	5001	741

prune358.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 9.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
0.3b	(/ 1 (+ (* x y) (* z (- t a))))
0.8b	(+ (* x y) (* z (- t a)))
20.2b	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
41×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
34×	`add-cube-cbrt`
23×	`times-frac`
22×	`associate-+r+`
20×	`div-exp` `add-cbrt-cube`
18×	`prod-diff`
16×	`prod-exp`
15×	`associate-r`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow1` `rec-exp` `1-exp` `associate-/r/`
7×	`flip3-+` `flip-+`
6×	`cbrt-undiv` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `associate-l/` `associate-/r` `cbrt-unprod` `log1p-expm1-u`
3×	`pow-flip` `associate-l` `div-inv` `unswap-sqr`
2×	`sub-neg` `frac-2neg` `associate-*r/` `pow-prod-down` `clear-num` `un-div-inv` `inv-pow`
1×	`+-commutative` `fma-def` `sum-log` `*-commutative`

Counts

4 → 161

Calls

4 calls:

35.0ms	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
13.0ms	(/ 1 (+ (* x y) (* z (- t a))))
12.0ms	(+ (* x y) (* z (- t a)))
43.0ms	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

756.0ms	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
52.0ms	(/ 1 (+ (* x y) (* z (- t a))))
37.0ms	(+ (* x y) (* z (- t a)))
252.0ms	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify72.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	635	1589
1	2616	1248
2	5003	1197

prune439.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 9.4b

regimes548.0ms

Accuracy

67.3% (4.0b remaining)

Error of 15.0b against oracle of 11.0b and baseline of 23.2b

bsearch2.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	54
1	40	54
2	43	54
3	43	54

end0.0ms

sample732.0ms

Algorithm

intervals

Results

317.0ms

8410×

body

valid