Details

sample44.0ms

Algorithm

intervals

Results

16.0ms

399×

body

valid

simplify134.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 23.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.3b	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
5.4b	(* (* (* z 4.0) t) a)
20.4b	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite279.0ms

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:

17.0ms	(* (* x 9.0) y)
20.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
52.0ms	(* (* (* z 4.0) t) a)
187.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series338.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x 9.0) y)
81.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
32.0ms	(* (* (* z 4.0) t) a)
203.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify73.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (15.0ms)

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

prune243.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
5.9b	(/ (* a t) c)
6.2b	(/ b (* z c))
9.7b	(/ (* x y) (* z c))

rewrite62.0ms

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:

27.0ms	(* 9.0 (/ (* x y) (* z c)))
10.0ms	(/ (* a t) c)
8.0ms	(/ b (* z c))
16.0ms	(/ (* x y) (* z c))

series120.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* 9.0 (/ (* x y) (* z c)))
21.0ms	(/ (* a t) c)
21.0ms	(/ b (* z c))
33.0ms	(/ (* x y) (* z c))

simplify57.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (13.0ms)

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

prune278.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

4.8b	(/ (* z c) y)
5.4b	(/ x (/ (* z c) y))
5.9b	(/ (* a t) c)
6.2b	(/ b (* z c))

rewrite42.0ms

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:

10.0ms	(/ (* z c) y)
10.0ms	(/ x (/ (* z c) y))
12.0ms	(/ (* a t) c)
8.0ms	(/ b (* z c))

series99.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (* z c) y)
37.0ms	(/ x (/ (* z c) y))
20.0ms	(/ (* a t) c)
22.0ms	(/ b (* z c))

simplify50.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 1 (12.0ms)

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

prune391.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

4.8b	(* (/ 1 z) (/ b c))
4.8b	(/ (* z c) y)
5.4b	(/ x (/ (* z c) y))
5.9b	(/ (* a t) c)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

64×	`times-frac`
55×	`add-sqr-sqrt`
45×	`add-exp-log`
40×	`*-un-lft-identity`
38×	`add-cube-cbrt`
35×	`add-cbrt-cube`
17×	`div-exp`
13×	`cbrt-undiv` `associate-r` `associate-l` `associate-/r*`
11×	`prod-exp`
9×	`div-inv`
7×	`cbrt-unprod`
6×	`pow1` `unswap-sqr`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `1-exp`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `associate-/r/` `*-commutative`

Counts

4 → 146

Calls

4 calls:

23.0ms	(* (/ 1 z) (/ b c))
10.0ms	(/ (* z c) y)
10.0ms	(/ x (/ (* z c) y))
10.0ms	(/ (* a t) c)

series100.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (/ 1 z) (/ b c))
20.0ms	(/ (* z c) y)
34.0ms	(/ x (/ (* z c) y))
21.0ms	(/ (* a t) c)

simplify68.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	705	779
1	3415	668
2	5001	662

prune501.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes598.0ms

Accuracy

18% (8.9b remaining)

Error of 9.1b against oracle of 0.1b and baseline of 11.0b

bsearch305.0ms

Steps

Iters	Range		Point
6	1.9735165449618276e+242	2.872442091715599e+243	2.5161150181745826e+242
7	1.260073903913557e-182	3.534649501594282e-181	2.3394961824832942e-182
10	-2.464991172390212e-31	-1.7862332741693714e-44	-3.565902426933373e-35
8	-6.766558717009279e+268	-2.415605268031274e+264	-5.320924991453163e+267

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	71
1	77	71

end0.0ms

sample1.2s

Algorithm

intervals

Results

543.0ms

12894×

body

valid