Details

sample40.0ms

Algorithm

intervals

Results

18.0ms

390×

body

valid

simplify132.0ms

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: 19.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.4b	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.3b	(* (* (* z 4.0) t) a)
15.6b	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite28.0ms

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:

5.0ms	(* (* x 9.0) y)
5.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.0ms	(* (* (* z 4.0) t) a)
10.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series321.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 9.0) y)
77.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
27.0ms	(* (* (* z 4.0) t) a)
194.0ms	(/ (+ (- (* (* 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

prune252.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
5.6b	(/ b (* z c))
6.2b	(/ (* a t) c)
7.7b	(/ (* 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:

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

series107.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* 9.0 (/ (* x y) (* z c)))
23.0ms	(/ b (* z c))
18.0ms	(/ (* a t) c)
27.0ms	(/ (* x y) (* z c))

simplify55.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (12.0ms)

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

prune292.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 4 expressions with local error:

3.4b	(/ (* z c) y)
4.0b	(/ x (/ (* z c) y))
5.6b	(/ b (* z c))
6.2b	(/ (* a t) c)

rewrite21.0ms

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:

4.0ms	(/ (* z c) y)
6.0ms	(/ x (/ (* z c) y))
4.0ms	(/ b (* z c))
4.0ms	(/ (* a t) c)

series89.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ (* z c) y)
30.0ms	(/ x (/ (* z c) y))
22.0ms	(/ b (* z c))
19.0ms	(/ (* a t) c)

simplify49.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 1 (11.0ms)

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

prune408.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

3.4b	(/ (* z c) y)
4.0b	(/ x (/ (* z c) y))
5.6b	(/ b (* z c))
5.9b	(* a (/ t c))

rewrite28.0ms

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:

4.0ms	(/ (* z c) y)
8.0ms	(/ x (/ (* z c) y))
4.0ms	(/ b (* z c))
7.0ms	(* a (/ t c))

series91.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ (* z c) y)
30.0ms	(/ x (/ (* z c) y))
20.0ms	(/ b (* z c))
19.0ms	(* a (/ t c))

simplify65.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 1 (13.0ms)

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

prune383.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.3b

regimes815.0ms

Accuracy

21.9% (7.9b remaining)

Error of 8.0b against oracle of 0.1b and baseline of 10.2b

bsearch170.0ms

Steps

Iters	Range		Point
10	1.561269302813238e+108	3.540169098506683e+123	6.229995270630113e+117
7	-4.468701193556603e-09	-1.5685518852568163e-10	-2.931954809387259e-09

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	22
1	47	22

end0.0ms

sample1.2s

Algorithm

intervals

Results

629.0ms

12826×

body

valid