Details

sample38.0ms

Algorithm

intervals

Results

15.0ms

261×

body

valid

simplify105.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	16
1	88	16
2	254	16
3	663	16
4	1615	16
5	2362	16
6	2584	16
7	3122	16
8	5001	16

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
30.6b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite337.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
6×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `associate-/r` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 91

Calls

4 calls:

44.0ms	(* (+ (* (+ y a) y) b) y)
91.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
81.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
118.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series530.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ (* (+ y a) y) b) y)
59.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
70.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
364.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify64.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	509	1265
1	2259	1154
2	5001	1152

prune449.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 30.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.2b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
30.7b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite412.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`add-exp-log` `associate-r`
20×	`times-frac`
15×	`add-cbrt-cube`
11×	`pow1`
9×	`associate-l`
6×	`flip3-+` `associate-*l/` `prod-exp` `flip-+`
5×	`unswap-sqr`
4×	`div-exp` `associate-/r/` `cbrt-unprod` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 115

Calls

4 calls:

48.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
65.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
57.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
238.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series555.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
72.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
62.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
363.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify74.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	559	1707
1	2755	1518
2	5001	1492

prune471.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 30.3b

localize30.0ms

Local error

Found 4 expressions with local error:

19.5b	(cbrt (+ (* (+ y a) y) b))
19.5b	(cbrt (+ (* (+ y a) y) b))
19.5b	(cbrt (+ (* (+ y a) y) b))
30.6b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i))

rewrite389.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `cbrt-div` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 70

Calls

4 calls:

9.0ms	(cbrt (+ (* (+ y a) y) b))
9.0ms	(cbrt (+ (* (+ y a) y) b))
9.0ms	(cbrt (+ (* (+ y a) y) b))
360.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i))

series707.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(cbrt (+ (* (+ y a) y) b))
114.0ms	(cbrt (+ (* (+ y a) y) b))
113.0ms	(cbrt (+ (* (+ y a) y) b))
363.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i))

simplify47.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	331	1684
1	1122	1547
2	5002	1523

prune476.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 30.3b

localize26.0ms

Local error

Found 4 expressions with local error:

5.9b	(* x (pow y 3))
6.8b	(+ (* x (pow y 3)) (* z (pow y 2)))
8.3b	(* z (pow y 2))
30.6b	(* (+ (* (+ (+ (* x (pow y 3)) (* z (pow y 2))) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
35×	`associate-r`
23×	`add-exp-log`
20×	`*-un-lft-identity`
19×	`add-cube-cbrt`
13×	`add-cbrt-cube`
11×	`times-frac` `unswap-sqr`
10×	`prod-exp`
9×	`associate-l`
8×	`unpow-prod-down`
6×	`pow1` `add-log-exp`
4×	`flip3-+` `cube-prod` `cbrt-unprod` `flip-+` `sqr-pow`
3×	`*-commutative`
2×	`frac-times` `pow-to-exp` `div-exp` `associate-*l/` `pow-exp` `associate-/r/` `unpow2`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `rec-exp` `1-exp` `unpow3` `associate-*r/` `pow-prod-down` `sum-log` `un-div-inv` `div-inv`

Counts

4 → 111

Calls

4 calls:

13.0ms	(* x (pow y 3))
9.0ms	(+ (* x (pow y 3)) (* z (pow y 2)))
12.0ms	(* z (pow y 2))
232.0ms	(* (+ (* (+ (+ (* x (pow y 3)) (* z (pow y 2))) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series475.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* x (pow y 3))
56.0ms	(+ (* x (pow y 3)) (* z (pow y 2)))
34.0ms	(* z (pow y 2))
327.0ms	(* (+ (* (+ (+ (* x (pow y 3)) (* z (pow y 2))) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify86.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	594	1267
1	2964	1105
2	5001	1096

prune456.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 30.3b

regimes531.0ms

Accuracy

0% (1.1b remaining)

Error of 29.6b against oracle of 28.4b and baseline of 29.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	27
1	45	27

end0.0ms

sample990.0ms

Algorithm

intervals

Results

505.0ms

8231×

body

valid