Details

sample61.0ms

Algorithm

intervals

Results

39.0ms

419×

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: 22.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* x 9.0) y)
0.7b	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
5.4b	(* (* (* z 4.0) t) a)
18.3b	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite120.0ms

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:

7.0ms	(* (* 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))

series317.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 9.0) y)
76.0ms	(- (* (* 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))

simplify68.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (13.0ms)

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

prune270.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.7b	(/ b (* z c))
6.8b	(/ (* a t) c)
9.7b	(/ (* x y) (* z c))

rewrite25.0ms

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))

series109.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* 9.0 (/ (* x y) (* z c)))
19.0ms	(/ b (* z c))
18.0ms	(/ (* a t) c)
30.0ms	(/ (* x y) (* z c))

simplify56.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (11.0ms)

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

prune284.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 4 expressions with local error:

4.4b	(/ x (/ (* z c) y))
4.7b	(/ b (* z c))
5.9b	(/ (* z c) y)
6.8b	(/ (* a t) c)

rewrite20.0ms

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:

7.0ms	(/ x (/ (* z c) y))
3.0ms	(/ b (* z c))
3.0ms	(/ (* z c) y)
3.0ms	(/ (* a t) c)

series91.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ x (/ (* z c) y))
19.0ms	(/ b (* z c))
19.0ms	(/ (* z c) y)
19.0ms	(/ (* a t) c)

simplify52.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 1 (12.0ms)

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

prune400.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

4.4b	(/ x (/ (* z c) y))
4.7b	(/ b (* z c))
5.9b	(/ (* z c) y)
6.5b	(* a (/ t c))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 122

Calls

4 calls:

5.0ms	(/ x (/ (* z c) y))
3.0ms	(/ b (* z c))
3.0ms	(/ (* z c) y)
7.0ms	(* a (/ t c))

series91.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ x (/ (* z c) y))
20.0ms	(/ b (* z c))
19.0ms	(/ (* z c) y)
19.0ms	(* a (/ t c))

simplify55.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	512	616
1	2443	542
2	5001	542

prune390.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes651.0ms

Accuracy

24.8% (7.7b remaining)

Error of 8.0b against oracle of 0.3b and baseline of 10.6b

bsearch176.0ms

Steps

Iters	Range		Point
7	1.5346542252657226e-62	2.2995349501875346e-60	2.26419354811389e-60
8	-2.7913501997405823e-40	-5.710957701829727e-44	-8.803486212805539e-41

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	37
1	57	37

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s

12807×

body

valid