Details

sample37.0ms

Algorithm

intervals

Results

17.0ms

385×

body

valid

simplify127.0ms

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: 21.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.2b	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
5.6b	(* (* (* z 4.0) t) a)
18.0b	(/ (+ (- (* (* 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)
6.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
21.0ms	(* (* (* z 4.0) t) a)
84.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series332.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* x 9.0) y)
75.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
32.0ms	(* (* (* z 4.0) t) a)
200.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify74.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (14.0ms)

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

prune282.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 9.0 (/ (* x y) (* z c)))
6.2b	(/ (* a t) c)
7.0b	(/ b (* z c))
9.9b	(/ (* 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	(/ (* a t) c)
3.0ms	(/ b (* z 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	(/ (* a t) c)
23.0ms	(/ b (* z c))
27.0ms	(/ (* x y) (* z c))

simplify55.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (11.0ms)

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

prune318.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 9.0 (/ (* x y) (* z c)))
7.0b	(/ b (* z c))
7.0b	(/ a (/ c t))
9.9b	(/ (* x y) (* z c))

rewrite32.0ms

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

series114.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* 9.0 (/ (* x y) (* z c)))
20.0ms	(/ b (* z c))
21.0ms	(/ a (/ c t))
28.0ms	(/ (* x y) (* z c))

simplify71.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	634	870
1	3152	746
2	5001	746

prune531.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 4 expressions with local error:

5.3b	(/ (* z c) y)
6.2b	(/ (* a t) c)
7.0b	(/ x (/ (* z c) y))
7.0b	(/ b (* z c))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
28×	`add-exp-log` `add-cbrt-cube`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`associate-/r*`
11×	`cbrt-undiv` `div-exp`
8×	`div-inv` `associate-/l*`
4×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`associate-/r/`

Counts

4 → 111

Calls

4 calls:

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

series95.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (* z c) y)
19.0ms	(/ (* a t) c)
32.0ms	(/ x (/ (* z c) y))
25.0ms	(/ b (* z c))

simplify52.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	457	568
1	2237	494
2	5001	494

prune410.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.5b

regimes1.0s

Accuracy

14.7% (8.5b remaining)

Error of 8.6b against oracle of 0.1b and baseline of 10.1b

bsearch283.0ms

Steps

Iters	Range	Point
10	2.2017045375507158e-43	7.260140014371487e-28	7.922500988372777e-38
8	-2.1557993230416424e-299	-1.4431113876571917e-303	-8.832702183033105e-302
9	-6.3252612554600265e+193	-8.435357571366773e+185	-1.350720498066435e+188

Iters

Range

Point

2.2017045375507158e-43

7.260140014371487e-28

7.922500988372777e-38

-2.1557993230416424e-299

-1.4431113876571917e-303

-8.832702183033105e-302

-6.3252612554600265e+193

-8.435357571366773e+185

-1.350720498066435e+188

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	43
1	62	43

end0.0ms

sample1.1s

Algorithm

intervals

Results

579.0ms

12652×

body

valid