Details

sample42.0ms

Algorithm

intervals

Results

20.0ms

390×

body

valid

simplify127.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 25.2b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z 4.0) t)
0.4b	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
7.5b	(* (* (* z 4.0) t) a)
20.9b	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite29.0ms

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	(* (* z 4.0) t)
4.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
7.0ms	(* (* (* z 4.0) t) a)
11.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series328.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (* z 4.0) t)
78.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
28.0ms	(* (* (* z 4.0) t) a)
204.0ms	(/ (+ (- (* (* 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	446	680
1	2162	574
2	5001	574

prune255.0ms

Filtered

89 candidates to 55 candidates (61.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	77	12	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	12	90

Merged error: 6.4b

Counts

90 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
3.9b	(/ (* a t) c)
6.6b	(/ b (* z c))
9.8b	(/ (* 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:

8.0ms	(* 9.0 (/ (* x y) (* z c)))
4.0ms	(/ (* a t) c)
4.0ms	(/ b (* z c))
6.0ms	(/ (* x y) (* z c))

series116.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* 9.0 (/ (* x y) (* z c)))
19.0ms	(/ (* a t) c)
20.0ms	(/ b (* z c))
33.0ms	(/ (* x y) (* z c))

simplify62.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (15.0ms)

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

prune297.0ms

Filtered

104 candidates to 62 candidates (59.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	92	12	104
Fresh	8	3	11
Picked	1	0	1
Done	0	0	0
Total	101	15	116

Merged error: 0.3b

Counts

116 → 15

localize15.0ms

Local error

Found 4 expressions with local error:

3.9b	(/ (* a t) c)
4.2b	(/ x (/ (* z c) y))
4.4b	(/ (* z c) y)
6.6b	(/ b (* z c))

rewrite27.0ms

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	(/ (* a t) c)
10.0ms	(/ x (/ (* z c) y))
5.0ms	(/ (* z c) y)
4.0ms	(/ b (* z c))

series95.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (* a t) c)
31.0ms	(/ x (/ (* z c) y))
19.0ms	(/ (* z c) y)
21.0ms	(/ b (* z c))

simplify57.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 1 (14.0ms)

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

prune431.0ms

Filtered

123 candidates to 90 candidates (73.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	114	9	123
Fresh	8	6	14
Picked	1	0	1
Done	0	0	0
Total	123	15	138

Merged error: 0.3b

Counts

138 → 15

localize16.0ms

Local error

Found 4 expressions with local error:

3.9b	(/ (* a t) c)
4.1b	(/ (/ (* z c) y) x)
4.4b	(/ (* z c) y)
6.6b	(/ b (* z c))

rewrite23.0ms

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`
12×	`associate-/l*`
11×	`cbrt-undiv` `div-exp`
10×	`associate-/r*`
8×	`div-inv`
4×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`associate-/l/`

Counts

4 → 111

Calls

4 calls:

4.0ms	(/ (* a t) c)
6.0ms	(/ (/ (* z c) y) x)
5.0ms	(/ (* z c) y)
4.0ms	(/ b (* z c))

series90.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (* a t) c)
27.0ms	(/ (/ (* z c) y) x)
23.0ms	(/ (* z c) y)
20.0ms	(/ b (* z c))

simplify59.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	468	563
1	2203	488
2	5001	488

prune397.0ms

Filtered

123 candidates to 89 candidates (72.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	115	8	123
Fresh	8	6	14
Picked	1	0	1
Done	0	0	0
Total	124	14	138

Merged error: 0.3b

Counts

138 → 14

regimes1.0s

Accuracy

24.9% (8.8b remaining)

Error of 8.9b against oracle of 0.1b and baseline of 11.9b

bsearch265.0ms

Steps

Iters	Range	Point
8	2.687641205378425e+125	2.690166866494385e+128	2.9019501673276155e+126
9	2.2025063850144027e-73	9.79531149341178e-67	2.2902672438960906e-68
8	-4.8038711391095495e-104	-1.6644752529993141e-108	-4.4627057489340555e-108

Iters

Range

Point

2.687641205378425e+125

2.690166866494385e+128

2.9019501673276155e+126

2.2025063850144027e-73

9.79531149341178e-67

2.2902672438960906e-68

-4.8038711391095495e-104

-1.6644752529993141e-108

-4.4627057489340555e-108

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	51
1	78	51

end0.0ms

sample1.1s

Algorithm

intervals

Results

607.0ms

12665×

body

valid