Details

sample40.0ms

Algorithm

intervals

Results

19.0ms

412×

body

valid

simplify126.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	9
1	94	9
2	287	9
3	741	9
4	1662	9
5	4195	9
6	5001	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.5b	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
4.0b	(* (* (* z 4.0) t) a)
17.6b	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

6.0ms	(* (* x 9.0) y)
7.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
22.0ms	(* (* (* z 4.0) t) a)
84.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series317.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* x 9.0) y)
73.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
30.0ms	(* (* (* z 4.0) t) a)
192.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify72.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	491	675
1	2345	574
2	5002	574

prune259.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
6.1b	(/ b (* z c))
7.0b	(/ (* a t) c)
9.3b	(/ (* x y) (* z c))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

11.0ms	(* 9.0 (/ (* x y) (* z c)))
3.0ms	(/ b (* z c))
3.0ms	(/ (* a t) c)
4.0ms	(/ (* x y) (* z c))

series108.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* 9.0 (/ (* x y) (* z c)))
19.0ms	(/ b (* z c))
22.0ms	(/ (* a t) c)
27.0ms	(/ (* x y) (* z c))

simplify58.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	420	503
1	2365	384
2	5002	384

prune306.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
5.8b	(/ a (/ c t))
6.1b	(/ b (* z c))
9.3b	(/ (* x y) (* z c))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
52×	`add-sqr-sqrt`
50×	`add-cube-cbrt` `*-un-lft-identity`
44×	`add-exp-log` `add-cbrt-cube`
15×	`associate-/r*`
14×	`prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `div-exp`
8×	`div-inv`
7×	`associate-/l*`
6×	`pow1`
5×	`associate-r`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`associate-r/` `pow-prod-down` `associate-/r/` `-commutative` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

14.0ms	(* 9.0 (/ (* x y) (* z c)))
5.0ms	(/ a (/ c t))
3.0ms	(/ b (* z c))
4.0ms	(/ (* x y) (* z c))

series109.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* 9.0 (/ (* x y) (* z c)))
20.0ms	(/ a (/ c t))
19.0ms	(/ b (* z c))
27.0ms	(/ (* x y) (* z c))

simplify72.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	634	870
1	3152	746
2	5002	746

prune497.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

4.7b	(/ (* z c) y)
5.8b	(/ a (/ c t))
6.1b	(/ b (* z c))
7.3b	(/ x (/ (* z c) y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
66×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log` `add-cbrt-cube`
24×	`associate-/r*`
12×	`cbrt-undiv` `div-exp` `div-inv`
10×	`associate-/l*`
4×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`associate-/r/`

Counts

4 → 160

Calls

4 calls:

3.0ms	(/ (* z c) y)
5.0ms	(/ a (/ c t))
3.0ms	(/ b (* z c))
5.0ms	(/ x (/ (* z c) y))

series92.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ (* z c) y)
20.0ms	(/ a (/ c t))
19.0ms	(/ b (* z c))
35.0ms	(/ x (/ (* z c) y))

simplify71.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	670	935
1	3037	856
2	5002	856

prune570.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes762.0ms

Accuracy

1.4% (9.3b remaining)

Error of 9.5b against oracle of 0.2b and baseline of 9.6b

bsearch279.0ms

Steps

Iters	Range		Point
8	2.116689948849714e+69	7.773926861696515e+73	2.4122033596720044e+70
6	1.5657292690057692e-104	7.508280525960552e-104	2.7046851978488097e-104
7	-6.032777410470917e-303	-2.3575425190156782e-304	-1.2536207067457098e-303
7	-2.983431323897793e-210	-1.2905107049436917e-211	-3.175798135553479e-211

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	61
1	94	61

end0.0ms

sample1.1s

Algorithm

intervals

Results

603.0ms

12710×

body

valid